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<i>Proceedings of IEEE Complexity 2006</i>, 2006.
 
<i>Proceedings of IEEE Complexity 2006</i>, 2006.
 
arXiv:[http://arxiv.org/abs/quant-ph/0510230 quant-ph/0510230].
 
arXiv:[http://arxiv.org/abs/quant-ph/0510230 quant-ph/0510230].
 +
 +
<span id="aar10" style="color:maroon">[Aar10]</span>
 +
S. Aaronson.
 +
BQP and the Polynomial Hierarchy,
 +
<i>Proceedings of ACM STOC 2010</i>.
 +
arXiv:[http://arxiv.org/abs/0910.4698 0910.4698],
 +
ECCC [http://eccc.uni-trier.de/eccc-reports/2009/TR09-104/ TR09-104].
 +
 +
<span id="aar18" style="color:maroon">[Aar18]</span>
 +
S. Aaronson.
 +
PDQP/qpoly = ALL,
 +
arXiv:[https://arxiv.org/abs/1805.08577 1805.08577].
 +
 +
<span id="aboe08" style="color:maroon">[ABOE08]</span>
 +
D. Aharonov, M. Ben-Or, E. Eban.
 +
Interactive Proofs for Quantum Computations,
 +
arXiv:[https://arxiv.org/abs/0810.5375 0810.5375].
  
 
<span id="ak06" style="color:maroon">[AK06]</span>
 
<span id="ak06" style="color:maroon">[AK06]</span>
Line 84: Line 101:
 
ECCC [http://eccc.uni-trier.de/eccc-reports/2000/TR00-65/ TR00-65], 2000.
 
ECCC [http://eccc.uni-trier.de/eccc-reports/2000/TR00-65/ TR00-65], 2000.
  
−
{{Reference
+
<span id="abd08" style="color:maroon">[ABD+08]</span>
−
    |id=abd08 |tag=ABD+08
+
S. Aaronson, S. Beigi, A. Drucker, B. Fefferman and P. Shor.
−
    |authors=S. Aaronson, S. Beigi, A. Drucker, et al
+
The power of unentanglement
−
    |title=The power of unentanglement
+
<i>Theory of Computing</i>, 5(1):1-42, 2009
−
    |journal=Electronic Colloquium on Computational Complexity
+
arXiv:[http://arxiv.org/0804.0802 0804.0802]
−
    |srcdetail=ECCC Report TR08-051, accepted on May 02, 2008
 
−
    |link=[http://eccc.hpi-web.de/eccc-reports/2008/TR08-051/index.html http://eccc.hpi-web.de/eccc-reports/2008/TR08-051/index.html]
 
−
}}
 
  
 
<span id="abf94" style="color:maroon">[ABF+94]</span>
 
<span id="abf94" style="color:maroon">[ABF+94]</span>
Line 129: Line 143:
 
See also "A compendium of NP optimization problems" (P. Crescenzi and V. Kann, eds.),
 
See also "A compendium of NP optimization problems" (P. Crescenzi and V. Kann, eds.),
 
[http://www.nada.kth.se/~viggo/wwwcompendium/ http://www.nada.kth.se/~viggo/wwwcompendium/].
 
[http://www.nada.kth.se/~viggo/wwwcompendium/ http://www.nada.kth.se/~viggo/wwwcompendium/].
 +
 +
<span id="acjr21" style="color:maroon">[ACJ+21]</span>
 +
M. Arenas, L. A. Croquevielle, R. Jayaram, and C. Riveros. #NFA admits an FPRAS: Efficient Enumeration, Counting, and Uniform Generation for Logspace Classes.
 +
<i>Journal of the ACM</i> 68(6):48:1-48:40, 2021.
  
 
<span id="adh97" style="color:maroon">[ADH97]</span>
 
<span id="adh97" style="color:maroon">[ADH97]</span>
Line 139: Line 157:
 
Two theorems on random polynomial time.
 
Two theorems on random polynomial time.
 
FOCS 78.
 
FOCS 78.
 +
 +
<span id="ad14" style="color:maroon">[AD14]</span>
 +
S. Aaronson and A. Drucker.
 +
A Full Characterization of Quantum Advice,
 +
<i>SIAM Journal on Computing</i> 43(3):1131–1183, 2014.
 +
arXiv:[https://arxiv.org/abs/1004.0377 1004.0377].
  
 
<span id="afm01" style="color:maroon">[AFM01]</span>
 
<span id="afm01" style="color:maroon">[AFM01]</span>
Line 144: Line 168:
 
Computational depth,
 
Computational depth,
 
<i>Proceedings of IEEE Complexity'01</i>, pp. 266-273, 2001.
 
<i>Proceedings of IEEE Complexity'01</i>, pp. 266-273, 2001.
−
[http://people.cs.uchicago.edu/~fortnow/papers/depth.ps http://people.cs.uchicago.edu/~fortnow/papers/depth.ps]
+
[https://people.cs.uchicago.edu/~fortnow/papers/depth-j.pdf https://people.cs.uchicago.edu/~fortnow/papers/depth-j.pdf]
  
 
<span id="ag00" style="color:maroon">[AG00]</span>
 
<span id="ag00" style="color:maroon">[AG00]</span>
Line 164: Line 188:
  
 
<span id="agk07" style="color:maroon">[AGK07]</span>
 
<span id="agk07" style="color:maroon">[AGK07]</span>
−
D. Aharonov, D. Gottesman, and J. Kempe;stad.
+
D. Aharonov, D. Gottesman, S. Irani, and J. Kempe;stad.
 
The power of quantum systems on a line.
 
The power of quantum systems on a line.
−
FOCS 2007.
+
Comm. Math. Physics, vol. 287, no. 1, pp. 41-65 (2009)
 +
arXiv:[https://arxiv.org/abs/0705.4077 0705.4077]
  
 
{{Reference
 
{{Reference
Line 199: Line 224:
 
B. Applebaum, Y. Ishai, and E. Kushilevitz.
 
B. Applebaum, Y. Ishai, and E. Kushilevitz.
 
Cryptography in NC<sup>0</sup>,
 
Cryptography in NC<sup>0</sup>,
−
<i>Proceedings of IEEE FOCS 2004</i>.
+
<i>SIAM Journal of Computing</i>, 36(4):845-888, 2006,
−
[http://www.cs.technion.ac.il/~yuvali/pubs/AIK04.ps http://www.cs.technion.ac.il/~yuvali/pubs/AIK04.ps].
+
[http://www.eng.tau.ac.il/%7Ebennyap/pubs/nc0-full.pdf http://www.eng.tau.ac.il/%7Ebennyap/pubs/nc0-full.pdf].
  
 
<span id="aj93" style="color:maroon">[AJ93]</span>
 
<span id="aj93" style="color:maroon">[AJ93]</span>
Line 210: Line 235:
 
V. Arvind and P. Kurur.
 
V. Arvind and P. Kurur.
 
Graph isomorphism is in SPP,
 
Graph isomorphism is in SPP,
−
ECCC [http://eccc.uni-trier.de/eccc-reports/2002/TR02-037/ TR02-037], 2002.
+
<i>Information and Computation</i>, 204(5):835-852, 2006
 +
ECCC [http://eccc.uni-trier.de/eccc-reports/2002/TR02-037/ TR02-037]
  
 
<span id="ak06" style="color:maroon">[AK06]</span>
 
<span id="ak06" style="color:maroon">[AK06]</span>
 
S. Aaronson and G. Kuperberg.
 
S. Aaronson and G. Kuperberg.
 
Quantum Versus Classical Proofs and Advice.
 
Quantum Versus Classical Proofs and Advice.
−
arXiv:[http://arxiv.org/quant-ph/0604056 quant-ph/0604056], 2006.
+
<i>Theory of Computing</i> 3(7):129-157, 2007
 +
[https://theoryofcomputing.org/articles/v003a007/ https://theoryofcomputing.org/articles/v003a007/]
 +
arXiv:[http://arxiv.org/quant-ph/0604056 quant-ph/0604056]
  
 
<span id="ak96" style="color:maroon">[AK96]</span>
 
<span id="ak96" style="color:maroon">[AK96]</span>
Line 309: Line 337:
 
<i>ACM Transactions on Algorithms (TALG)</i> 2(2): 153–177, 2006.
 
<i>ACM Transactions on Algorithms (TALG)</i> 2(2): 153–177, 2006.
 
[http://dx.doi.org/10.1145/1150334.1150336 doi:10.1145/1150334.1150336]
 
[http://dx.doi.org/10.1145/1150334.1150336 doi:10.1145/1150334.1150336]
 +
 +
<span id="ani+23" style="color:maroon">[Ani+23]</span>
 +
Joshua Ani et al.
 +
Complexity of Motion Planning of Arbitrarily Many Robots: Gadgets, Petri Nets, and Counter Machines. 2023.
 +
arxiv: [https://arxiv.org/abs/2306.01193]
  
 
<span id="an02" style="color:maroon">[AN02]</span>
 
<span id="an02" style="color:maroon">[AN02]</span>
Line 343: Line 376:
 
S. Arora.
 
S. Arora.
 
Polynomial time approximation scheme for Euclidean TSP and other geometric problems,
 
Polynomial time approximation scheme for Euclidean TSP and other geometric problems,
−
<i>Proceedings of IEEE FOCS'96</i>, pp. 2-11, 1996.
+
<i>Journal of the ACM</i> 45(5) 753-782, 1998.  
−
[http://www.cs.princeton.edu/~arora/pubs/tsp1.ps http://www.cs.princeton.edu/~arora/pubs/tsp1.ps]
+
[https://www.cs.princeton.edu/~arora/pubs/tsp.ps https://www.cs.princeton.edu/~arora/pubs/tsp.ps]
  
 
<span id="arz99" style="color:maroon">[ARZ99]</span>
 
<span id="arz99" style="color:maroon">[ARZ99]</span>
Line 436: Line 469:
 
The quantum challenge to structural complexity theory.
 
The quantum challenge to structural complexity theory.
 
Proceedings of Structure in Complexity Theory, 1992, 132--137.
 
Proceedings of Structure in Complexity Theory, 1992, 132--137.
 +
[https://doi.ieeecomputersociety.org/10.1109/SCT.1992.215388 DOI]
  
 
<span id="bbb97" style="color:maroon">[BBB+97]</span>
 
<span id="bbb97" style="color:maroon">[BBB+97]</span>
Line 477: Line 511:
 
<i>Journal of Computer and System Sciences</i> 44(2):193-219, 1992.
 
<i>Journal of Computer and System Sciences</i> 44(2):193-219, 1992.
 
[http://www.cs.technion.ac.il/~shai/aver.pdf http://www.cs.technion.ac.il/~shai/aver.pdf]
 
[http://www.cs.technion.ac.il/~shai/aver.pdf http://www.cs.technion.ac.il/~shai/aver.pdf]
 +
 +
<span id="bckls14" style="color:maroon">[BCK+14]</span>
 +
H. Buhrman, R. Cleve, M. Koucky, B. Loff, and F. Speelman.
 +
Computing with a full memory: catalytic space,
 +
<i>Symposium on the Theory of Computing (STOC)</i> 857-866, 2014.
  
 
<span id="bcs97" style="color:maroon">[BCS+97]</span>
 
<span id="bcs97" style="color:maroon">[BCS+97]</span>
Line 492: Line 531:
 
Parallel computations for well-endowed rings and space-bounded probabilistic machines,
 
Parallel computations for well-endowed rings and space-bounded probabilistic machines,
 
<i>Information and Control</i> 58:113-136, 1983.
 
<i>Information and Control</i> 58:113-136, 1983.
 +
 +
<span id="bchtv17" style="color:maroon">[BCHTV17]</span>
 +
A. Bouland, L. Chen, D. Holden, J. Thaler, and P. N. Vasudevan.
 +
On the Power of Statistical Zero Knowledge,
 +
<i>Foundations of Computer Science</i>, pp. 708-719, 2017.
 +
arXiv:[https://arxiv.org/pdf/1609.02888].
 +
 +
<span id="bcy11" style="color:maroon">[BCY11]</span>
 +
F.G.S.L. Brandão, M. Christandl, and J. Yard.
 +
A quasipolynomial-time algorithm for the quantum separability problem.
 +
<i>Proceedings of ACM STOC'11</i>, pp. 343-352, 2011.
 +
arXiv:[http://arxiv.org/abs/1011.2751 1011.2751].
  
 
<span id="bd99" style="color:maroon">[BD99]</span>
 
<span id="bd99" style="color:maroon">[BD99]</span>
Line 775: Line 826:
 
B. Borchert and F. Stephan.
 
B. Borchert and F. Stephan.
 
Looking for an Analogue of Rice's Theorem in Circuit Complexity Theory.
 
Looking for an Analogue of Rice's Theorem in Circuit Complexity Theory.
−
MLQ Math. Log. Q. 46 (2000), no. 4, 489--504
+
MLQ Math. Log. Q. 46 (2000), no. 4, 489--504, 2000. Also Proc. 5th Kurt Gödel Colloq. KGS 1997, Springer LNCS 1289, pp. 114-127.
−
[http://math.uni-heidelberg.de/logic/bb/papers/Rice.ps http://math.uni-heidelberg.de/logic/bb/papers/Rice.ps]
+
[https://doi.org/10.1002/1521-3870(200010)46:4%3C489::AID-MALQ489%3E3.0.CO;2-F MLQ] [https://doi.org/10.1007/3-540-63385-5_37 KGS 1997]
  
 
<span id="bs90" style="color:maroon">[BS90]</span>
 
<span id="bs90" style="color:maroon">[BS90]</span>
Line 825: Line 876:
 
  |link=http://math.ucsd.edu/~sbuss/ResearchWeb/Boolean3/index.html
 
  |link=http://math.ucsd.edu/~sbuss/ResearchWeb/Boolean3/index.html
 
}}
 
}}
 +
 +
<span id="buss17" style="color:maroon">[Buss17]</span>
 +
S. Buss.
 +
Uniform Proofs of ACC Representations,
 +
<i>Archive for Mathematical Logic</i> 56(5–6):639–669, 2017.
  
 
<span id="bv97" style="color:maroon">[BV97]</span>
 
<span id="bv97" style="color:maroon">[BV97]</span>
Line 838: Line 894:
  
 
<span id="bvw07" style="color:maroon">[BVW07]</span>
 
<span id="bvw07" style="color:maroon">[BVW07]</span>
−
H. Burhman, N. Vereshchajin, R. de Wolf.
+
H. Burhman, N. Vereshchagin, R. de Wolf.
 
On computation and communication with small bias.
 
On computation and communication with small bias.
 
<i>Proceedings of IEEE Conference on Computational Complexity 2007</i> 24-32, 2007.
 
<i>Proceedings of IEEE Conference on Computational Complexity 2007</i> 24-32, 2007.
Line 865: Line 921:
 
Lecture Notes in Computer Science, vol 247, p148-158, 1987.
 
Lecture Notes in Computer Science, vol 247, p148-158, 1987.
  
−
<span id="can96" style="color:maroon">[Can96]</span>
+
<span id="cch01" style="color:maroon">[CCH+01]</span>
−
R. Canetti.
+
J.-Y. Cai, V. Chakaravarthy, L. Hemaspaandra, and M. Ogihara.
−
More on BPP and the polynomial-time hierarchy,
+
Some Karp-Lipton-type theorems based on S<sub>2</sub>,
−
<i>Information Processing Letters</i> 57:237-241, 1996.
+
University of Rochester Computer Science Technical Report TR-759, November 2001.
  
 
<span id="cc93" style="color:maroon">[CC93]</span>
 
<span id="cc93" style="color:maroon">[CC93]</span>
Line 880: Line 936:
 
<i>Journal of Computer and System Sciences</i> 54(3):465-474, 1997.
 
<i>Journal of Computer and System Sciences</i> 54(3):465-474, 1997.
  
−
<span id="cs12" style="color:maroon">[CS12]</span>
+
<span id="cf91" style="color:maroon">[CF91]</span>
−
André Chailloux and Or Sattath.
+
J.-Y. Cai and M. Furst.
−
The Complexity of the Separable Hamiltonian Problem,
+
PSPACE survives constant-width bottlenecks,
−
<i>Proceedings of the 2012 IEEE Annual Conference on Computational Complexity (CCC)</i>, pp. 32-41, 2012. [https://arxiv.org/abs/1111.5247 arXiv: 1111.5247].
+
<i>International Journal of Foundations of Computer Science</i> 2(1):67-76, 1991.
  
−
<span id="ccd03" style="color:maroon">[CCD+03]</span>
+
<span id="co22" style="color:maroon">[CO22]</span>
−
A. M. Childs, R. Cleve, E. Deotto, E. Farhi, S. Gutmann, and D. A. Spielman.
+
Wojciech Czerwiński and Łukasz Orlikowski
−
Exponential algorithmic speedup by quantum walk,
+
Reachability in vector addition systems is Ackermann-complete,
−
<i>Proceedings of ACM Symposium on Theory of Computing</i>, pp. 59-68, 2003.
+
<i>Proceedings of the 62nd Annual IEEE Symposium on Foundations of Computer Science</i>, pages 1229–1240, 2022
−
arXiv:[http://arxiv.org/abs/quant-ph/0209131 quant-ph/0209131].
+
arXiv: [https://arxiv.org/abs/2104.13866]
  
−
<span id="ccg94" style="color:maroon">[CCG+94]</span>
+
<span id="can96" style="color:maroon">[Can96]</span>
 +
R. Canetti.
 +
More on BPP and the polynomial-time hierarchy,
 +
<i>Information Processing Letters</i> 57:237-241, 1996.
 +
 
 +
<span id="ccg94" style="color:maroon">[CCG+94]</span>
 
R. Chang, B. Chor, O. Goldreich, J. Hartmanis, J. H&aring;stad, D. Ranjan, and P. Rohatgi.
 
R. Chang, B. Chor, O. Goldreich, J. Hartmanis, J. H&aring;stad, D. Ranjan, and P. Rohatgi.
 
The random oracle hypothesis is false,
 
The random oracle hypothesis is false,
 
<i>Journal of Computer and System Sciences</i> 49(1):24-39, 1994.
 
<i>Journal of Computer and System Sciences</i> 49(1):24-39, 1994.
  
−
<span id="cch01" style="color:maroon">[CCH+01]</span>
+
<span id="cgqtz24" style="color:maroon">[CGQ+24]</span>
−
J.-Y. Cai, V. Chakaravarthy, L. Hemaspaandra, and M. Ogihara.
+
Z. Chen, J. A. Grochow, Y. Qiao, G. Tang, and C. Zhang.
−
Some Karp-Lipton-type theorems based on S<sub>2</sub>,
+
On the complexity of isomorphism problems for tensors, groups, and polynomials III: actions by classical groups.
−
University of Rochester Computer Science Technical Report TR-759, November 2001.
+
<i>Proc. ITCS '24</i> [https://doi.org/10.4230/LIPIcs.ITCS.2024.31 doi:10.4230/LIPIcs.ITCS.2024.31]
 +
 
 +
<span id="cs12" style="color:maroon">[CS12]</span>
 +
André Chailloux and Or Sattath.
 +
The Complexity of the Separable Hamiltonian Problem,
 +
<i>Proceedings of the 2012 IEEE Annual Conference on Computational Complexity (CCC)</i>, pp. 32-41, 2012. [https://arxiv.org/abs/1111.5247 arXiv: 1111.5247].
 +
 
 +
<span id="ctw13" style="color:maroon">[CTW13]</span>
 +
A. Chattopadhyay, J. Tor&aacute;n, F. Wagner.
 +
Graph Isomorphism is Not AC0-Reducible to Group Isomorphism
 +
<i>ACM Transactions on Computation Theory</i> Volume 5, Issue 4, November 2013, pp.1--13. [https://doi.org/10.1145/2540088]
 +
 
 +
<span id="cw22" style="color:maroon">[CW22]</span>
 +
B. Chapman and R. Williams.
 +
Smaller ACC0 Circuits for Symmetric Functions,
 +
<i>13th Innovations in Theoretical Computer Science Conference (ITCS 2022)</i>, pp. 38:1--38:19, 2022. [https://arxiv.org/abs/2107.04706  arXiv:2107.04706], [https://drops.dagstuhl.de/opus/volltexte/2022/15634  LIPIcs-ITCS-2022-38].
 +
 
 +
<span id="che16" style="color:maroon">[Che16]</span>
 +
L. Chen
 +
A Note on Oracle Separations for BQP,
 +
arXiv:[http://arxiv.org/abs/1605.00619 1605.00619].
  
 
<span id="cd05" style="color:maroon">[CD05]</span>
 
<span id="cd05" style="color:maroon">[CD05]</span>
 
X. Chen and X. Deng
 
X. Chen and X. Deng
−
3-NASH is PPAD-Complete, online: [http://eccc.uni-trier.de/eccc-reports/2005/TR05-134/Paper.pdf http://eccc.uni-trier.de/eccc-reports/2005/TR05-134/Paper.pdf], nov. 2005.
+
3-NASH is PPAD-Complete,
 +
ECCC [http://eccc.uni-trier.de/eccc-reports/2005/TR05-134/ TR05-134].
 +
 
 +
<span id="ccd03" style="color:maroon">[CCD+03]</span>
 +
A. M. Childs, R. Cleve, E. Deotto, E. Farhi, S. Gutmann, and D. A. Spielman.
 +
Exponential algorithmic speedup by quantum walk,
 +
<i>Proceedings of ACM Symposium on Theory of Computing</i>, pp. 59-68, 2003.
 +
arXiv:[http://arxiv.org/abs/quant-ph/0209131 quant-ph/0209131].
  
 
<span id="cdl01" style="color:maroon">[CDL01]</span>
 
<span id="cdl01" style="color:maroon">[CDL01]</span>
Line 909: Line 997:
 
Division in logspace-uniform NC<sub>1</sub>,
 
Division in logspace-uniform NC<sub>1</sub>,
 
<i>Theoretical Informatics and Applications</i> 35(3):259, 2001.
 
<i>Theoretical Informatics and Applications</i> 35(3):259, 2001.
−
 
−
<span id="cf91" style="color:maroon">[CF91]</span>
 
−
J.-Y. Cai and M. Furst.
 
−
PSPACE survives constant-width bottlenecks,
 
−
<i>International Journal of Foundations of Computer Science</i> 2(1):67-76, 1991.
 
  
 
{{Reference
 
{{Reference
Line 945: Line 1,028:
 
M. Crasmaru, C. Gla&szlig;er, K. W. Regan, and S. Sengupta.
 
M. Crasmaru, C. Gla&szlig;er, K. W. Regan, and S. Sengupta.
 
A protocol for serializing unique strategies,
 
A protocol for serializing unique strategies,
−
submitted, 2004.
+
<i>Proceedings of MFCS 2004</i> pp. 660-672, 2004.
−
[http://www.cse.buffalo.edu/faculty/regan/papers/ps/CGRS03.ps http://www.cse.buffalo.edu/faculty/regan/papers/ps/CGRS03.ps].
+
[https://www.cse.buffalo.edu/~regan/papers/pdf/CGRS04.pdf https://www.cse.buffalo.edu/~regan/papers/pdf/CGRS04.pdf]
  
 
<span id="ch89" style="color:maroon">[CH89]</span>
 
<span id="ch89" style="color:maroon">[CH89]</span>
Line 995: Line 1,078:
 
On pseudorandom generators in NC<sup>0</sup>,
 
On pseudorandom generators in NC<sup>0</sup>,
 
<i>Proceedings of the 26th International Symposium on Mathematical Foundations of Computer Science (MFCS)</i>, pp. 272-284, 2001.
 
<i>Proceedings of the 26th International Symposium on Mathematical Foundations of Computer Science (MFCS)</i>, pp. 272-284, 2001.
 +
 +
<span id="cm16" style="color:maroon">[CM16]</span>
 +
T. Cubitt and A. Montanaro.
 +
Complexity Classification of Local Hamiltonian Problems.
 +
<i>SIAM Journal on Computing</i> 45:2, 2016.
 +
doi:[https://epubs.siam.org/doi/abs/10.1137/140998287 10.1137/140998287].
 +
 +
<span id="cmp18" style="color:maroon">[CMP18]</span>
 +
T. Cubitt, A. Montanaro, and S. Piddock.
 +
Universal quantum Hamiltonians.
 +
<i>PNAS</i> 115:38, 2018.
 +
doi:[https://www.pnas.org/doi/full/10.1073/pnas.1804949115 10.1073/pnas.1804949115].
  
 
{{Reference
 
{{Reference
Line 1,120: Line 1,215:
 
<span id="dam90" style="color:maroon">[Dam90]</span>
 
<span id="dam90" style="color:maroon">[Dam90]</span>
 
C. Damm.
 
C. Damm.
−
Problems complete for L,
+
Problems complete for ⊕L,
 
<i>Information Processing Letters</i> 36:247-250, 1990.
 
<i>Information Processing Letters</i> 36:247-250, 1990.
 +
[https://doi.org/10.1016/0020-0190(90)90150-V doi:10.1016/0020-0190(90)90150-V]
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<span id="dam91" style="color:maroon">[Dam91]</span>
 +
C. Damm.
 +
DET=L<sup>(#L)</sup>,
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Technical Report Informatik-Preprint 8, Fachbereich Informatik der Humboldt–Universit ̈at zu Berlin, 1991.
  
 
<span id="dc89" style="color:maroon">[DC89]</span>
 
<span id="dc89" style="color:maroon">[DC89]</span>
Line 1,127: Line 1,228:
 
Complexity theory of parallel time and hardware,
 
Complexity theory of parallel time and hardware,
 
<i>Information and Computation</i> 80:205-226, 1989.
 
<i>Information and Computation</i> 80:205-226, 1989.
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[https://doi.org/10.1016/0890-5401(89)90009-6 doi:10.1016/0890-5401(89)90009-6]
  
 
<span id="ddp98" style="color:maroon">[DDP+98]</span>
 
<span id="ddp98" style="color:maroon">[DDP+98]</span>
Line 1,132: Line 1,234:
 
Image density is complete for non-interactive SZK,
 
Image density is complete for non-interactive SZK,
 
<i>Proceedings of the 25th International Colloquium on Automata, Languages, and Programming (ICALP)</i>, Lecture Notes in Computer Science, pp. 784-795, 1998.
 
<i>Proceedings of the 25th International Colloquium on Automata, Languages, and Programming (ICALP)</i>, Lecture Notes in Computer Science, pp. 784-795, 1998.
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[https://doi.org/10.1007/BFb0055102 doi:10.1007/BFb0055102]
 
(Note: Some results in the paper were later retracted.)
 
(Note: Some results in the paper were later retracted.)
  
Line 1,137: Line 1,240:
 
M. I. Dekhtyar.
 
M. I. Dekhtyar.
 
On the relativization of deterministic and nondeterministic complexity classes,
 
On the relativization of deterministic and nondeterministic complexity classes,
−
<i>Mathematical Foundations of Computer Science</i>, pp. 255-259, Springer LNCS 45, 1976.
+
<i>Mathematical Foundations of Computer Science</i> (MFCS '76), pp. 255-259, Springer LNCS 45, 1976.
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[https://doi.org/10.1007/3-540-07854-1_183 doi:10.1007/3-540-07854-1_183]
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<span id="dgpv20" style="color:maroon">[DGPV20]</span>
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P. Dixon, S. Gayen, A. Pavan, N. V. Vinodchandran.
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Perfect Zero Knowledge: New Upperbounds and Relativized Separations,
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<i>Theory of Cryptography Conference</i> (TCC '20), pp. 768, 2020.
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[https://doi.org/10.1007/978-3-030-64375-1_24 doi:10.1007/978-3-030-64375-1_24]
  
 
<span id="df97" style="color:maroon">[DF97]</span>
 
<span id="df97" style="color:maroon">[DF97]</span>
Line 1,143: Line 1,254:
 
Threshold dominating sets and an improved characterization of W[2],
 
Threshold dominating sets and an improved characterization of W[2],
 
<i>Theoretical Computer Science</i> 189, 1997.
 
<i>Theoretical Computer Science</i> 189, 1997.
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[https://doi.org/10.1016/S0304-3975(97)00101-1 doi:10.1016/S0304-3975(97)00101-1]
  
 
<span id="df99" style="color:maroon">[DF99]</span>
 
<span id="df99" style="color:maroon">[DF99]</span>
Line 1,148: Line 1,260:
 
<i>Parameterized Complexity</i>,
 
<i>Parameterized Complexity</i>,
 
Springer-Verlag Monographs in Computer Science, 1999.
 
Springer-Verlag Monographs in Computer Science, 1999.
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[https://doi.org/10.1007/978-1-4612-0515-9 doi:10.1007/978-1-4612-0515-9]
  
 
<span id="dft96" style="color:maroon">[DFT96]</span>
 
<span id="dft96" style="color:maroon">[DFT96]</span>
Line 1,153: Line 1,266:
 
On the parameteric complexity of relational database queries and a sharper characterization of W[1],
 
On the parameteric complexity of relational database queries and a sharper characterization of W[1],
 
<i>Combinatorics, Complexity, and Logic</i>, Proceedings of DMTCS'96, Springer-Verlag, pp. 194-213, 1996.
 
<i>Combinatorics, Complexity, and Logic</i>, Proceedings of DMTCS'96, Springer-Verlag, pp. 194-213, 1996.
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[http://mrfellows.net/papers/C33-relationaldatabase.ps Author's website version]
  
 
<span id="dft98" style="color:maroon">[DFT96]</span>
 
<span id="dft98" style="color:maroon">[DFT96]</span>
 
R. G. Downey, M. R. Fellows, and U. Taylor.
 
R. G. Downey, M. R. Fellows, and U. Taylor.
−
Parameterized circuit complexity and the W
+
Parameterized circuit complexity and the W hierarchy.
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hierarchy.
 
 
<i>Theoret. Computer Sci.</i>, 191(1–2):97–115, January 1998.
 
<i>Theoret. Computer Sci.</i>, 191(1–2):97–115, January 1998.
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[https://doi.org/10.1016/S0304-3975(96)00317-9 doi:10.1016/S0304-3975(96)00317-9]
  
 
<span id="dgp05" style="color:maroon">[DGP05]</span>
 
<span id="dgp05" style="color:maroon">[DGP05]</span>
 
C. Daskalakis, P. W. Goldberg, and C. H. Papadimitriou
 
C. Daskalakis, P. W. Goldberg, and C. H. Papadimitriou
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<i>SIAM J. Comput.</i> 39(1):195-259, 2009.
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<span id="dhi02" style="color:maroon">[DHI02]</span>
 
<span id="dhi02" style="color:maroon">[DHI02]</span>
 
W. van Dam, S. Hallgren, and L. Ip.
 
W. van Dam, S. Hallgren, and L. Ip.
 
Quantum algorithms for hidden shift problems,
 
Quantum algorithms for hidden shift problems,
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arXiv:[http://arxiv.org/abs/quant-ph/0211140 quant-ph/0211140], 2002.
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<i>SIAM J. Comput.</i> 36(3):763-778, 2006.
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[https://doi.org/10.1137/S009753970343141X doi:10.1137/S009753970343141X]
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Originally appeared on arXiv:[http://arxiv.org/abs/quant-ph/0211140 quant-ph/0211140] and SODA 2003.
  
 
<span id="dp05" style="color:maroon">[DP05]</span>
 
<span id="dp05" style="color:maroon">[DP05]</span>
−
C. Daskalakis and C. H. Papadimitriou
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C. Daskalakis and C. H. Papadimitriou.
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Three-player games are hard,
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ECCC [https://eccc.weizmann.ac.il//eccc-reports/2005/TR05-139/ TR05-139], 2005.
  
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{{Reference-ECCC
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<span id="DP08" style="color:maroon">[DP08]</span>
−
    |tag=DP08 |year=2008 |date=Feb 28 |eccc-num=TR08-014
+
M. David and T. Pitassi.
−
    |authors=M. David and T. Pitassi
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Separating NOF communication complexity classes RP and NP.
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    |title=Separating NOF communication complexity classes RP and NP
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−
}}
 
  
 
<span id="dw86" style="color:maroon">[DW86]</span>
 
<span id="dw86" style="color:maroon">[DW86]</span>
Line 1,183: Line 1,302:
 
Membership for growing context-sensitive grammars is polynomial,
 
Membership for growing context-sensitive grammars is polynomial,
 
<i>Journal of Computer and System Sciences</i> 33:456-472, 1986.
 
<i>Journal of Computer and System Sciences</i> 33:456-472, 1986.
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[https://doi.org/10.1016/0022-0000(86)90062-0 doi:10.1016/0022-0000(86)90062-0]
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===== E =====
 
===== E =====
Line 1,190: Line 1,311:
 
Paths, trees, and flowers,
 
Paths, trees, and flowers,
 
<i>Canadian Journal of Mathematics</i> 17(3):449-467, 1965.
 
<i>Canadian Journal of Mathematics</i> 17(3):449-467, 1965.
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[https://doi.org/10.4153/CJM-1965-045-4 doi:10.4153/CJM-1965-045-4]
  
 
<span id="ey07" style="color:maroon">[EY07]</span>
 
<span id="ey07" style="color:maroon">[EY07]</span>
 
K. Etessami and M. Yannakakis.
 
K. Etessami and M. Yannakakis.
 
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On the Complexity of Nash Equilibria and Other Fixed Points.
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Unpublished.
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<i>SIAM J. Comput.</i> 2010.
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[https://doi.org/10.1137/080720826 doi:10.1137/080720826]
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Originally appeared in [https://doi.org/10.1109/FOCS.2007.39 FOCS 2007].
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[https://homepages.inf.ed.ac.uk/kousha/nash_focs07_full_j_spec_issue_sub.pdf Author's website version]
  
−
Paths, trees, and flowers,
+
===== F =====
−
<i>Canadian Journal of Mathematics</i> 17(3):449-467, 1965.
 
−
 
 
−
===== F =====
 
  
 
<span id="fag73" style="color:maroon">[Fag73]</span>
 
<span id="fag73" style="color:maroon">[Fag73]</span>
 
R. Fagin.
 
R. Fagin.
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Contributions to the Model Theory of Finite Strucutres,
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Contributions to the Model Theory of Finite Structures,
 
<i>Ph.D. Thesis (1973), U.C. Berkeley</i>
 
<i>Ph.D. Thesis (1973), U.C. Berkeley</i>
  
Line 1,210: Line 1,332:
 
Generalized first-order spectra and polynomial-time recognizable sets,
 
Generalized first-order spectra and polynomial-time recognizable sets,
 
<i>Complexity of Computation</i> (R. M. Karp, ed.), SIAM-AMS Proceedings Vol. 7, 1974.
 
<i>Complexity of Computation</i> (R. M. Karp, ed.), SIAM-AMS Proceedings Vol. 7, 1974.
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[https://www.researchgate.net/publication/242608657_Generalized_first-order_spectra_and_polynomial_time_recognizable_sets Author's uploaded copy]
  
 
<span id="fen02" style="color:maroon">[Fen02]</span>
 
<span id="fen02" style="color:maroon">[Fen02]</span>
Line 1,215: Line 1,338:
 
PP-lowness and a simple definition of AWPP,
 
PP-lowness and a simple definition of AWPP,
 
<i>Theory Comput. Syst.</i> 36 (2003), no. 2, 199--212.
 
<i>Theory Comput. Syst.</i> 36 (2003), no. 2, 199--212.
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[https://doi.org/10.1007/s00224-002-1089-8 doi:10.1007/s00224-002-1089-8]
 
ECCC [http://eccc.uni-trier.de/eccc-reports/2002/TR02-036/ TR02-036].
 
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Line 1,224: Line 1,348:
 
S. Fenner, L. Fortnow, S. Kurtz, and L. Li.
 
S. Fenner, L. Fortnow, S. Kurtz, and L. Li.
 
An oracle builder's toolkit,
 
An oracle builder's toolkit,
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<i>Proceedings of Structure in Complexity Theory</i>, pages 120-131, 1993.
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<i>Inform. Comput.</i> 182(2):95-136, 2003.
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[https://lance.fortnow.com/papers/files/obt.pdf Author's website version].
  
 
<span id="ffk94" style="color:maroon">[FFK94]</span>
 
<span id="ffk94" style="color:maroon">[FFK94]</span>
Line 1,231: Line 1,357:
 
Gap-definable counting classes,
 
Gap-definable counting classes,
 
<i>Journal of Computer and System Sciences</i> 48(1):116-148, 1994.
 
<i>Journal of Computer and System Sciences</i> 48(1):116-148, 1994.
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[http://people.cs.uchicago.edu/~fortnow/papers/gaps.ps http://people.cs.uchicago.edu/~fortnow/papers/gaps.ps].
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[https://doi.org/10.1016/S0022-0000(05)80024-8 doi:10.1016/S0022-0000(05)80024-8].
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[https://lance.fortnow.com/papers/files/gaps.pdf Author's website version].
  
 
<span id="fg02" style="color:maroon">[FG02]</span>
 
<span id="fg02" style="color:maroon">[FG02]</span>
 
J. Flum and M. Grohe.
 
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The parameterized complexity of counting problems,
 
The parameterized complexity of counting problems,
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<i>Proceedings of IEEE FOCS'2002</i>, 2002.
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<i>SIAM J. Comput.</i> 33(4):892-922, 2004. [https://doi.org/10.1137/S0097539703427203 doi:10.1137/S0097539703427203]
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Originally appeared in [https://doi.org/10.1109/SFCS.2002.1181978 FOCS '02].
  
 
<span id="fgh98" style="color:maroon">[FGH+98]</span>
 
<span id="fgh98" style="color:maroon">[FGH+98]</span>
Line 1,248: Line 1,377:
 
Approximating clique is almost NP-complete,
 
Approximating clique is almost NP-complete,
 
<i>Proceedings of IEEE FOCS'91</i>, pp. 2-12, 1991.
 
<i>Proceedings of IEEE FOCS'91</i>, pp. 2-12, 1991.
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[https://doi.org/10.1109/SFCS.1991.185341 doi:10.1109/SFCS.1991.185341]
  
 
<span id="fgmsz89" style="color:maroon">[FGM+89]</span>
 
<span id="fgmsz89" style="color:maroon">[FGM+89]</span>
Line 1,266: Line 1,396:
 
NP with small advice,
 
NP with small advice,
 
<i>Proceedings of IEEE Complexity'2005</i>, pp. 228-234, 2005.
 
<i>Proceedings of IEEE Complexity'2005</i>, pp. 228-234, 2005.
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[http://people.cs.uchicago.edu/~fortnow/papers/fk.ps http://people.cs.uchicago.edu/~fortnow/papers/fk.ps].
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[https://lance.fortnow.com/papers/files/fk.pdf Author's website version].
  
 
<span id="fk97" style="color:maroon">[FK97]</span>
 
<span id="fk97" style="color:maroon">[FK97]</span>
Line 1,272: Line 1,403:
 
Limited versus polynomial nondeterminism,
 
Limited versus polynomial nondeterminism,
 
<i>Chicago Journal of Theoretical Computer Science</i> Article 1, 1997.
 
<i>Chicago Journal of Theoretical Computer Science</i> Article 1, 1997.
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[http://dx.doi.org/10.4086/cjtcs.1997.001 doi:10.4086/cjtcs.1997.001]
  
 
<span id="fk97b" style="color:maroon">[FK97b]</span>
 
<span id="fk97b" style="color:maroon">[FK97b]</span>
Line 1,277: Line 1,409:
 
Making games short,
 
Making games short,
 
<i>Proceedings of ACM STOC'1997</i>, pp. 506-516, 1997.
 
<i>Proceedings of ACM STOC'1997</i>, pp. 506-516, 1997.
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[https://doi.org/10.1145/258533.258644 doi:10.1145/258533.258644]
  
 
<span id="fmf16" style="color:maroon">[FMF16]</span>
 
<span id="fmf16" style="color:maroon">[FMF16]</span>
Line 1,282: Line 1,415:
 
Hierarchical complexity of 2-clique-colouring weakly chordal graphs and perfect graphs having cliques of size at least 3,
 
Hierarchical complexity of 2-clique-colouring weakly chordal graphs and perfect graphs having cliques of size at least 3,
 
<i>Theoretical Computer Science</i> 618, 2016.
 
<i>Theoretical Computer Science</i> 618, 2016.
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[https://doi.org/10.1016/j.tcs.2016.01.027 doi:10.1016/j.tcs.2016.01.027]
 
arXiv:[https://arxiv.org/abs/1312.2086 cs.CC/1312.2086].
 
arXiv:[https://arxiv.org/abs/1312.2086 cs.CC/1312.2086].
  
Line 1,288: Line 1,422:
 
The role of relativization in complexity theory,
 
The role of relativization in complexity theory,
 
<i>Bulletin of the EATCS</i> 52, February 1994.
 
<i>Bulletin of the EATCS</i> 52, February 1994.
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[http://people.cs.uchicago.edu/~fortnow/papers/relative.ps http://people.cs.uchicago.edu/~fortnow/papers/relative.ps].
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[https://lance.fortnow.com/papers/files/relative.pdf Author's website version].
  
 
<span id="for02" style="color:maroon">[For02]</span>
 
<span id="for02" style="color:maroon">[For02]</span>
Line 1,294: Line 1,428:
 
A linear lower bound on the unbounded error probabilistic communication complexity,
 
A linear lower bound on the unbounded error probabilistic communication complexity,
 
<i>Journal of Computer and System Sciences</i> 65(4):612-625, 2002.
 
<i>Journal of Computer and System Sciences</i> 65(4):612-625, 2002.
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[https://doi.org/10.1016/S0022-0000(02)00019-3 doi:10.1016/S0022-0000(02)00019-3]
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<span id="fr74" style="color:maroon">[FR74]</span>
 
<span id="fr74" style="color:maroon">[FR74]</span>
Line 1,299: Line 1,435:
 
Super-exponential complexity of Presburger arithmetic,
 
Super-exponential complexity of Presburger arithmetic,
 
<i>Complexity of Computation</i> (R. M. Karp, ed.), SIAM-AMS Symposium on Applied Mathematics, 1974.
 
<i>Complexity of Computation</i> (R. M. Karp, ed.), SIAM-AMS Symposium on Applied Mathematics, 1974.
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Reprinted in 1998 at [https://doi.org/10.1007/978-3-7091-9459-1_5 doi:10.1007/978-3-7091-9459-1_5].
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Preliminary version [https://dspace.mit.edu/bitstream/handle/1721.1/148872/MIT-LCS-TM-043.pdf?sequence=1 MIT Project MAC Tech Report].
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<span id="fr96" style="color:maroon">[FR96]</span>
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L. Fortnow and N. Reingold.
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PP is closed under truth-table reductions,
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<i>Information and Computation</i> 124(1):1–6, 1996.
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[http://doi.org/10.1006/inco.1996.0001 doi:10.1006/inco.1996.0001]
  
 
<span id="fr98" style="color:maroon">[FR98]</span>
 
<span id="fr98" style="color:maroon">[FR98]</span>
 
L. Fortnow and J. D. Rogers.
 
L. Fortnow and J. D. Rogers.
 
Complexity limitations on quantum computation,
 
Complexity limitations on quantum computation,
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<i>Proceedings of IEEE Complexity'98</i>, pp. 202-209, 1998.
+
<i>J. Comput. Syst. Sci.</i> 59(2): 240–252. 1999. Special issue for selected papers from the 13th IEEE Conference on Computational Complexity.
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Originally appeared in CCC '98.
 
arXiv:[http://arxiv.org/abs/cs.CC/9811023 cs.CC/9811023].
 
arXiv:[http://arxiv.org/abs/cs.CC/9811023 cs.CC/9811023].
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<span id="fr21" style="color:maroon">[FR21]</span>
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B. Fefferman and Z. Remscrim.
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Eliminating intermediate measurements in space-bounded Quantum computation,
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<i>Proceedings of ACM STOC'2021</i>, pp. 1343–1356, 2021.
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arXiv:[http://arxiv.org/abs/2006.03530 cs.CC/2006.03530].
  
 
<span id="fri57" style="color:maroon">[Fri57]</span>
 
<span id="fri57" style="color:maroon">[Fri57]</span>
Line 1,310: Line 1,462:
 
Two recursively enumerable sets of incomparable degrees of unsolvability,
 
Two recursively enumerable sets of incomparable degrees of unsolvability,
 
<i>Proceedings of the National Academy of Sciences</i>, 43:236-238, 1957.
 
<i>Proceedings of the National Academy of Sciences</i>, 43:236-238, 1957.
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[http://www.pubmedcentral.nih.gov/picrender.fcgi?artid=528418&amp;blobtype=pdf http://www.pubmedcentral.nih.gov/picrender.fcgi?artid=528418&amp;blobtype=pdf].
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[https://doi.org/10.1073/pnas.43.2.236 doi:10.1073/pnas.43.2.236].
  
 
<span id="frs88" style="color:maroon">[FRS88]</span>
 
<span id="frs88" style="color:maroon">[FRS88]</span>
 
L. Fortnow, J. Rompel, and M. Sipser.
 
L. Fortnow, J. Rompel, and M. Sipser.
 
On the power of multiprover interactive protocols,
 
On the power of multiprover interactive protocols,
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<i>Proceedings of IEEE Complexity'88</i>, 1988.
+
<i>Theoret. Comput. Sci.</i> 134(2):545-557, 1994.
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[http://people.cs.uchicago.edu/~fortnow/papers/mip.ps http://people.cs.uchicago.edu/~fortnow/papers/mip.ps].
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[https://doi.org/10.1016/0304-3975(94)90251-8 doi:10.1016/0304-3975(94)90251-8]
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Originally appeared in [https://doi.org/10.1109/SCT.1988.5275 Complexity '88]
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[https://lance.fortnow.com/papers/files/mip.pdf Author's website version].
  
 
<span id="fs04" style="color:maroon">[FS04]</span>
 
<span id="fs04" style="color:maroon">[FS04]</span>
Line 1,322: Line 1,476:
 
Hierarchy theorems for probabilistic polynomial time,
 
Hierarchy theorems for probabilistic polynomial time,
 
<i>Proceedings of IEEE FOCS'2004</i>, 2004.
 
<i>Proceedings of IEEE FOCS'2004</i>, 2004.
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[http://people.cs.uchicago.edu/~fortnow/papers/probhier.ps http://people.cs.uchicago.edu/~fortnow/papers/probhier.ps].
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[http://doi.org/10.1109/FOCS.2004.33 doi:10.1109/FOCS.2004.33]
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[https://lance.fortnow.com/papers/files/probhier.pdf Author's website version]
  
 
<span id="fs88" style="color:maroon">[FS88]</span>
 
<span id="fs88" style="color:maroon">[FS88]</span>
Line 1,328: Line 1,483:
 
Are there interactive protocols for co-NP languages?
 
Are there interactive protocols for co-NP languages?
 
Inform. Process. Lett. 28 (1988), no. 5, 249--251.
 
Inform. Process. Lett. 28 (1988), no. 5, 249--251.
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[http://cs-www.uchicago.edu/~fortnow/papers/conpipl.ps http://cs-www.uchicago.edu/~fortnow/papers/conpipl.ps]
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[http://doi.org/10.1016/0020-0190(88)90199-8 doi:10.1016/0020-0190(88)90199-8]
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[https://lance.fortnow.com/papers/files/conpipl.pdf Author's website version]
  
 
<span id="fss84" style="color:maroon">[FSS84]</span>
 
<span id="fss84" style="color:maroon">[FSS84]</span>
Line 1,334: Line 1,490:
 
Parity, circuits, and the polynomial hierarchy,
 
Parity, circuits, and the polynomial hierarchy,
 
<i>Mathematical Systems Theory</i> 17:13-27, 1984.
 
<i>Mathematical Systems Theory</i> 17:13-27, 1984.
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Rectangles Are Nonnegative Juntas,
 
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The Landscape of Communication Complexity Classes,
 
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Ground state connectivity of local Hamiltonians, <i>Proceeedings of the 42nd International Colloquium on Automata, Languages, and Programming (ICALP)</i>, volume 9134 of Lecture Notes in Computer Science, pages 617-628, 2015.
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M. Grigni.
 
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A Sperner lemma complete for PPA,
 
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Line 1,539: Line 1,749:
 
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===== H =====
 
===== H =====
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Decision versus search problems in super-polynomial time,
 
Decision versus search problems in super-polynomial time,
 
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<i>Proceedings of the International Colloquium on Automata, Languages, and Programming (ICALP)</i>, 2010, pp. 140-151
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A multi-prover interactive proof for NEXP sound against entangled provers,
 
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===== J =====
 
===== J =====
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<span id="jnvwy20" style="color:maroon">[JNVWY20]</span>
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On a subclass of pseudopolynomial problems,
 
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Bounds to complexities of networks for sorting and for switching,
 
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Derandomizing Arthur-Merlin games using hitting sets,
 
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K. Mulmuley, U. V. Vazirani, and V. V. Vazirani.
 
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Matching is as easy as matrix inversion,
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<span id="mvw99" style="color:maroon">[MVW99]</span>
 
<span id="mvw99" style="color:maroon">[MVW99]</span>
Line 2,535: Line 2,892:
 
Super-polynomial versus half-exponential circuit size in the exponential hierarchy,
 
Super-polynomial versus half-exponential circuit size in the exponential hierarchy,
 
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Quantum Arthur-Merlin Games,
 
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===== N =====
 
===== N =====
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Cambridge University Press, 2000.
 
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<span id="nhk00" style="color:maroon">[NHK00]</span>
 
<span id="nhk00" style="color:maroon">[NHK00]</span>
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Ordered quantum branching programs are more powerful than ordered probabilistic branching programs under a bounded-width restriction,
 
Ordered quantum branching programs are more powerful than ordered probabilistic branching programs under a bounded-width restriction,
 
<i>Proceedings of COCOON'2000 (Computing and Combinatorics)</i>, Springer LNCS 1858, pp. 467-476, 2000.
 
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Line 2,558: Line 2,924:
 
The Growing Context-Sensitive Languages Are the Acyclic Context-Sensitive Languages,
 
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N. Nisan.
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RL is contained in SC,
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<span id="nr98" style="color:maroon">[NR98]</span>
 
<span id="nr98" style="color:maroon">[NR98]</span>
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Unambiguous computations and locally definable acceptance types,
 
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<span id="nsw92" style="color:maroon">[NSW92]</span>
 
<span id="nsw92" style="color:maroon">[NSW92]</span>
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Undirected connectivity in O(log<sup>1.5</sup>n) space,
 
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H. Nishimura and T. Yamakami.
 
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H. Nishimura and T. Yamakami.
 
H. Nishimura and T. Yamakami.
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An algorithmic argument [http://www.cheatcodesforsim3.com/ for] query complexity lower bounds of advised quantum computation,
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===== O =====
 
===== O =====
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On serializable languages,
 
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A complexity theory for feasible closure properties,
 
A complexity theory for feasible closure properties,
 
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<span id="oks94" style="color:maroon">[OKS+94]</span>
 
<span id="oks94" style="color:maroon">[OKS+94]</span>
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Instance complexity,
 
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One-way functions, hard on average problems and statistical zero-knowledge proofs,
 
One-way functions, hard on average problems and statistical zero-knowledge proofs,
 
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One-way functions are essential for non-trivial zero-knowledge,
 
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C. H. Papadimitriou.
 
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<span id="pap90" style="color:maroon">[Pap90]</span>
 
<span id="pap90" style="color:maroon">[Pap90]</span>
Line 2,661: Line 3,062:
 
On graph-theoretic lemmata and complexity classes,
 
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<i>Proceedings of IEEE FOCS'90</i>, pp. 794-801, 1990.
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[https://doi.org/10.1109/FSCS.1990.89602 doi:10.1109/FSCS.1990.89602]
  
 
<span id="pap94" style="color:maroon">[Pap94]</span>
 
<span id="pap94" style="color:maroon">[Pap94]</span>
Line 2,671: Line 3,073:
 
On the complexity of the parity argument and other inefficient proofs of existence,
 
On the complexity of the parity argument and other inefficient proofs of existence,
 
<i>Journal of Computer and System Sciences</i> 48(3):498-532, 1994.
 
<i>Journal of Computer and System Sciences</i> 48(3):498-532, 1994.
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{{Reference
 
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     |journal=Proceedings of the 22nd Annual IEEE Conference on Computational Complexity
 
     |srcdetail=347-357, 2007
 
     |srcdetail=347-357, 2007
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}}
 
}}
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<span id="pm15" style="color:maroon">[PM15]</span>
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S. Piddock and A. Montanaro.
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The complexity of antiferromagnetic interactions and 2D lattices.
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arXiv:[https://arxiv.org/abs/1506.04014 1506.04014], 2015.
  
 
<span id="pos44" style="color:maroon">[Pos44]</span>
 
<span id="pos44" style="color:maroon">[Pos44]</span>
Line 2,684: Line 3,093:
 
Recursively enumerable sets of positive integers and their decision problems,
 
Recursively enumerable sets of positive integers and their decision problems,
 
<i>Bulletin of the American Mathematical Society</i> 50:284-316, 1944.
 
<i>Bulletin of the American Mathematical Society</i> 50:284-316, 1944.
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<span id="pp00" style="color:maroon">[PP00]</span>
 
<span id="pp00" style="color:maroon">[PP00]</span>
Line 2,689: Line 3,099:
 
Efficient factorization with a single pure qubit and log N mixed qubits,
 
Efficient factorization with a single pure qubit and log N mixed qubits,
 
<i>Physical Review Letters</i> 85:3049, 2000.
 
<i>Physical Review Letters</i> 85:3049, 2000.
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arXiv:[http://arxiv.org/abs/quant-ph/0001066 quant-ph/0001066].
 
arXiv:[http://arxiv.org/abs/quant-ph/0001066 quant-ph/0001066].
  
Line 2,695: Line 3,106:
 
On determinism versus nondeterminism and related problems,
 
On determinism versus nondeterminism and related problems,
 
<i>Proceedings of IEEE FOCS'83</i>, pp. 429-438, 1983.
 
<i>Proceedings of IEEE FOCS'83</i>, pp. 429-438, 1983.
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[https://doi.org/10.1109/SFCS.1983.39 doi:10.1109/SFCS.1983.39]
  
 
<span id="pps14" style="color:maroon">[PPS14]</span>
 
<span id="pps14" style="color:maroon">[PPS14]</span>
Line 2,700: Line 3,112:
 
Overlays and limited memory communication,
 
Overlays and limited memory communication,
 
<i>Proceedings of IEEE CCC'14</i>, pp. 298-308, 2014.
 
<i>Proceedings of IEEE CCC'14</i>, pp. 298-308, 2014.
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<span id="pra74" style="color:maroon">[Pra74]</span>
 
<span id="pra74" style="color:maroon">[Pra74]</span>
 
V. R. Pratt.
 
V. R. Pratt.
 
The power of negative thinking in multiplying Boolean matrices,
 
The power of negative thinking in multiplying Boolean matrices,
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<i>STOC '74: Proceedings of the sixth annual ACM Symposium on Theory of Computing</i>, 80-83, 1974.
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<span id="pra75" style="color:maroon">[Pra75]</span>
 
<span id="pra75" style="color:maroon">[Pra75]</span>
Line 2,710: Line 3,124:
 
Every prime has a succinct certificate,
 
Every prime has a succinct certificate,
 
<i>SIAM Journal on Computing</i>, 4:214-220, 1975.
 
<i>SIAM Journal on Computing</i>, 4:214-220, 1975.
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<span id="ps86" style="color:maroon">[PS86]</span>
 
<span id="ps86" style="color:maroon">[PS86]</span>
Line 2,715: Line 3,130:
 
Probabilistic communication complexity,
 
Probabilistic communication complexity,
 
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<i>Journal of Computer and System Sciences</i>, 33(1):106-123, 1986.
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<span id="pv04" style="color:maroon">[PV04]</span>
 
<span id="pv04" style="color:maroon">[PV04]</span>
 
A. Pavan and N. V. Vinodchandran.
 
A. Pavan and N. V. Vinodchandran.
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<span id="py84" style="color:maroon">[PY84]</span>
 
<span id="py84" style="color:maroon">[PY84]</span>
Line 2,724: Line 3,142:
 
The complexity of facets (and some facets of complexity),
 
The complexity of facets (and some facets of complexity),
 
<i>Journal of Computer and System Sciences</i> 28:244-259, 1984.
 
<i>Journal of Computer and System Sciences</i> 28:244-259, 1984.
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<span id="py88" style="color:maroon">[PY88]</span>
 
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C. H. Papadimitriou and M. Yannakakis.
 
Optimization, approximation, and complexity classes,
 
Optimization, approximation, and complexity classes,
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<span id="py96" style="color:maroon">[PY96]</span>
 
<span id="py96" style="color:maroon">[PY96]</span>
Line 2,734: Line 3,155:
 
On limited nondeterminism and the complexity of the VC dimension,
 
On limited nondeterminism and the complexity of the VC dimension,
 
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<i>Journal of Computer and System Sciences</i> 53(2):161-170, 1996.
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<span id="pz83" style="color:maroon">[PZ83]</span>
 
<span id="pz83" style="color:maroon">[PZ83]</span>
Line 2,739: Line 3,161:
 
Two remarks on the power of counting,
 
Two remarks on the power of counting,
 
<i>Proceedings of the 6th GI Conference in Theoretical Computer Science</i>, Lecture Notes in Computer Science Vol. 145, Springer-Verlag, pp. 269-276, 1983.
 
<i>Proceedings of the 6th GI Conference in Theoretical Computer Science</i>, Lecture Notes in Computer Science Vol. 145, Springer-Verlag, pp. 269-276, 1983.
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===== R =====
 
===== R =====
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ECCC [http://eccc.uni-trier.de/eccc-reports/1997/TR97-014/ TR97-014],
 
ECCC [http://eccc.uni-trier.de/eccc-reports/1997/TR97-014/ TR97-014],
 
DIMACS [http://dimacs.rutgers.edu/TechnicalReports/abstracts/1997/97-46.html TR 97-46].
 
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R. Raz.
 
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Quantum information and the PCP theorem,
 
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An average-case depth hierarchy theorem for Boolean circuits,
 
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<i>Mathematical Systems Theory</i> 19:29-41, 1986.
 
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P-selective sets, tally languages, and the behavior of polynomial time reducibilities in NP,
 
P-selective sets, tally languages, and the behavior of polynomial time reducibilities in NP,
 
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Separating nondeterministic time complexity classes,
 
Separating nondeterministic time complexity classes,
 
<i>Journal of the ACM</i> 25:146-167, 1978.
 
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The history and status of the P versus NP question,
 
The history and status of the P versus NP question,
 
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<i>Proceedings of ACM STOC'92</i>, pp. 603-618, 1992.
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<span id="sm02" style="color:maroon">[SM02]</span>
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Line 3,097: Line 3,566:
 
Query complexity, or why is it difficult to separate NP<sup>A</sup> intersect coNP<sup>A</sup> from P<sup>A</sup> by random oracles A,
 
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<span id="tha98" style="color:maroon">[Tha98]</span>
Line 3,106: Line 3,576:
 
<span id="tod89" style="color:maroon">[Tod89]</span>
 
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On the hardness of graph isomorphism,
 
On the hardness of graph isomorphism,
 
<i>Proceedings of IEEE FOCS'2000</i>, pp. 180-186, 2000.
 
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Structural Properties of the Counting Hierarchies,
 
Structural Properties of the Counting Hierarchies,
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Line 3,123: Line 3,602:
 
Counting the number of solutions,
 
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<i>Proceedings of 15th Conference on Mathematical Foundations of Computer Science (MFCS)</i>, pp. 121-135, Springer-Verlag Lecture Notes in Computer Science 452, 1990.
 
<i>Proceedings of 15th Conference on Mathematical Foundations of Computer Science (MFCS)</i>, pp. 121-135, Springer-Verlag Lecture Notes in Computer Science 452, 1990.
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Line 3,128: Line 3,608:
 
Complexity classes defined by counting quantifiers,
 
Complexity classes defined by counting quantifiers,
 
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<i>Journal of the ACM</i> 38:753-774, 1991.
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<span id="tur36" style="color:maroon">[Tur36]</span>
Line 3,133: Line 3,614:
 
On computable numbers, with an application to the <i>Entscheidungsproblem</i>,
 
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L. Trevisan and S. Vadhan.
 
L. Trevisan and S. Vadhan.
 
Pseudorandomness and average-case complexity via uniform reductions,
 
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C. Umans.
 
C. Umans.
 
The minimum equivalent DNF problem and shortest implicants,
 
The minimum equivalent DNF problem and shortest implicants,
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Line 3,151: Line 3,635:
 
S. Vadhan.
 
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An Unconditional Study of Computational Zero Knowledge,
 
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Three problems in computer science,
 
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Relative complexity of checking and evaluating,
 
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Line 3,167: Line 3,655:
 
The complexity of computing the permanent,
 
The complexity of computing the permanent,
 
<i>Theoretical Computer Science</i>, 8:189-201, 1979.
 
<i>Theoretical Computer Science</i>, 8:189-201, 1979.
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Completeness classes in algebra,
 
Completeness classes in algebra,
 
<i>Proceedings of ACM STOC'79</i>, pp. 249-261, 1979.
 
<i>Proceedings of ACM STOC'79</i>, pp. 249-261, 1979.
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<span id="var82" style="color:maroon">[Var82]</span>
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Complexity of relational query languages,
 
Complexity of relational query languages,
 
<i>Proceedings of ACM STOC'82</i>, pp. 137-146, 1982.
 
<i>Proceedings of ACM STOC'82</i>, pp. 137-146, 1982.
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Properties that characterize LOGCFL,
 
Properties that characterize LOGCFL,
 
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<span id="ver92" style="color:maroon">[Ver92]</span>
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On the power of PP,
 
On the power of PP,
 
<i>Proceedings of IEEE Complexity'92</i>, pp. 138-143, 1992.
 
<i>Proceedings of IEEE Complexity'92</i>, pp. 138-143, 1992.
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<span id="ver95" style="color:maroon">[Ver95]</span>
Line 3,192: Line 3,687:
 
Oracle separation of complexity classes and lower bounds for perceptrons solving separation problems,
 
Oracle separation of complexity classes and lower bounds for perceptrons solving separation problems,
 
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<i>Izvestiya Mathematics</i> 59(6):1103-1122, 1995.
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<i>Physical Review Letters</i> 91:147902, 2003.
 
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<span id="vin04" style="color:maroon">[Vin04]</span>
Line 3,203: Line 3,705:
 
Counting complexity of solvable group problems,
 
Counting complexity of solvable group problems,
 
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<i>SIAM Journal on Computing</i> 33(4):852-869, 2004,
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<span id="vin04b" style="color:maroon">[Vin04b]</span>
 
<span id="vin04b" style="color:maroon">[Vin04b]</span>
 
N. V. Vinodchandran.
 
N. V. Vinodchandran.
 
A note on the circuit complexity of PP,
 
A note on the circuit complexity of PP,
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U. V. Vazirani and V. V. Vazirani.
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Random polynomial time equals semi-random polynomial time,
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<span id="vv86" style="color:maroon">[VV86]</span>
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NP is as easy as detecting unique solutions,
 
NP is as easy as detecting unique solutions,
 
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Line 3,258: Line 3,783:
 
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Line 3,263: Line 3,789:
 
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Comparison of polynomial time completeness notions,
 
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[https://doi.org/10.1109/SFCS.1993.366852 doi:10.1109/SFCS.1993.366852]
  
 
<span id="yes83" style="color:maroon">[Yes83]</span>
 
<span id="yes83" style="color:maroon">[Yes83]</span>
Line 3,377: Line 3,932:
 
<i>SIAM Journal on Computing</i>, 12(3):411-425, 1983.
 
<i>SIAM Journal on Computing</i>, 12(3):411-425, 1983.
 
DOI:[http://dx.doi.org/10.1137/0212027 10.1137/0212027]
 
DOI:[http://dx.doi.org/10.1137/0212027 10.1137/0212027]
 +
 +
<span id="yir24" style="color:maroon">[Yir24]</span>
 +
J. Yirka.
 +
Even quantum advice is unlikely to solve PP,
 +
arXiv:[https://arxiv.org/abs/2403.09994 2403.09994] [cs.CC],
 +
2024.
  
 
===== Z =====
 
===== Z =====
Line 3,383: Line 3,944:
 
S. Zachos.
 
S. Zachos.
 
Probabilistic quantifiers and games,
 
Probabilistic quantifiers and games,
−
<i>Journal of Computer and System Sciences</i> 36(3):433-451, 1988.
+
<i>Journal of Computer and System Sciences</i> 36(3):433-451, 1988.  
 +
[https://doi.org/10.1016/0022-0000(88)90037-2 doi:10.1016/0022-0000(88)90037-2]
  
 
<span id="zh86" style="color:maroon">[ZH86]</span>
 
<span id="zh86" style="color:maroon">[ZH86]</span>
 
S. Zachos and H. Heller.
 
S. Zachos and H. Heller.
 
A decisive characterization of BPP.
 
A decisive characterization of BPP.
−
''Information and Control'', 69(1&ndash;3):125&ndash;135, 1986.
+
''Information and Control'', 69(1&ndash;3):125&ndash;135, 1986.
 +
[https://doi.org/10.1016/S0019-9958(86)80044-4 doi:10.1016/S0019-9958(86)80044-4]
 +
 
 +
<span id="zkt85" style="color:maroon">[ZKT85]</span>
 +
V. N. Zemlyachenko, N. M. Korneenko, and R. I. Tyshkevich.
 +
Graph isomorphism problem,
 +
<i>Journal of Mathematical Sciences</i>, 29(4):1426-1481, 1985.
 +
[https://doi.org/10.1007%2FBF02104746 doi:10.1007%2FBF02104746].
  
 
<span id="zuc91" style="color:maroon">[Zuc91]</span>
 
<span id="zuc91" style="color:maroon">[Zuc91]</span>
Line 3,394: Line 3,963:
 
Simulating BPP using a general weak random source,
 
Simulating BPP using a general weak random source,
 
<i>Algorithmica</i> 16 (1996), no. 4-5, 367--391
 
<i>Algorithmica</i> 16 (1996), no. 4-5, 367--391
−
[http://www.cs.utexas.edu/users/diz/pubs/bpp.ps http://www.cs.utexas.edu/users/diz/pubs/bpp.ps].
+
[https://www.cs.utexas.edu/~diz/Sub%20Websites/Research/Simulating_bpp_using_a_general_weak_random_sources.pdf Author's webpage 1995 version].
−
 
+
[https://doi.org/10.1007/BF01940870 doi:10.1007/BF01940870]
 +
Originally appeared in [https://doi.org/10.1109/SFCS.1991.185351 FOCS 1991]
 
[[Category:Computational Complexity]]
 
[[Category:Computational Complexity]]

Latest revision as of 01:01, 11 November 2024


Main Zoo - Complexity Garden - Zoo Glossary - Zoo References

A - B - C - D - E - F - G - H - I - J - K - L - M - N - O - P - Q - R - S - T - U - V - W - X - Y - Z


A

[Aar02] S. Aaronson. Quantum lower bound for the collision problem, Proceedings of ACM STOC'2002, pp. 635-642, 2002. arXiv:quant-ph/0111102.

[Aar03] S. Aaronson. Lower bounds for local search by quantum arguments, Proceedings of ACM STOC 2004. arXiv:quant-ph/0307149, ECCC TR03-057.

[Aar03b] S. Aaronson. Multilinear formulas and skepticism of quantum computing, Proceedings of ACM STOC 2004. arXiv:quant-ph/0311039, ECCC TR03-079.

[Aar04b] S. Aaronson. Limitations of quantum advice and one-way communication, Proceedings of IEEE Complexity 2004, pp. 320-332, 2004. arXiv:quant-ph/0402095, ECCC TR04-026.

[Aar05] S. Aaronson. Quantum computing and hidden variables, Physical Review A 71:032325, March 2005. arXiv:quant-ph/0408035.

[Aar05b] S. Aaronson. Quantum computing, postselection, and probabilistic polynomial-time, Proceedings of the Royal Society A, 461(2063):3473-3482, 2005. arXiv:quant-ph/0412187.

[Aar05c] S. Aaronson. NP-complete problems and physical reality. ACM SIGACT News, March 2005 quant-ph/0502072.

[Aar06] S. Aaronson. Oracles are subtle but not malicious, Proceedings of IEEE Complexity 2006, 2006. arXiv:cs.CC/0504048, ECCC TR05-040.

[Aar06b] S. Aaronson. QMA/qpoly is contained in PSPACE/poly: de-Merlinizing quantum protocols, Proceedings of IEEE Complexity 2006, 2006. arXiv:quant-ph/0510230.

[Aar10] S. Aaronson. BQP and the Polynomial Hierarchy, Proceedings of ACM STOC 2010. arXiv:0910.4698, ECCC TR09-104.

[Aar18] S. Aaronson. PDQP/qpoly = ALL, arXiv:1805.08577.

[ABOE08] D. Aharonov, M. Ben-Or, E. Eban. Interactive Proofs for Quantum Computations, arXiv:0810.5375.

[AK06] S. Aaronson and G. Kuperberg. Quantum versus classical proofs and advice, submitted, 2006. arXiv:quant-ph/0604056.

[ABFL2014] S. Aaronson, A. Bouland, J. Fitzsimons, M. Lee The space "just above" BQP arXiv:arxiv.org/abs/1412.6507

[AB00] E. Allender and D. A. M. Barrington. Uniform Circuits for Division: Consequences and Problems. J. Comput. System Sci. 65 (2002), no. 4, 695--716. ECCC TR00-65, 2000.

[ABD+08] S. Aaronson, S. Beigi, A. Drucker, B. Fefferman and P. Shor. The power of unentanglement Theory of Computing, 5(1):1-42, 2009 arXiv:0804.0802

[ABF+94] J. Aspnes, R. Beigel, M. L. Furst, and S. Rudich. The expressive power of voting polynomials, Combinatorica 14(2):135-148, 1994. http://www.cs.yale.edu/~aspnes/stoc91voting.ps

[ABK+02] E. Allender, H. Buhrman, M. Koucký, D. van Melkebeek, and D. Ronneburger. Power from random strings, Proceedings of IEEE FOCS'2002, pp. 669-678, 2002. ECCC TR02-028.

[ABL98] A. Ambainis, D. M. Barrington, and H. LêThanh. On counting AC0 circuits with negative constants, Proceedings of MFCS (Mathematical Foundations of Computer Science), pp. 419-427, 1998. ECCC TR98-020.

[ABO99] E. Allender, R. Beals, and M. Ogihara. The complexity of matrix rank and feasible systems of linear equations, Computational Complexity 8(2):99-126, 1999. ECCC TR96-024, DIMACS TR 97-40.

[ABV95] W. Aiello, M. Bellare, and R. Venkatesan. Knowledge on the average - perfect, statistical, and logarithmic, Proceedings of ACM STOC'95, 1995.

[ACG+99] G. Ausiello, P. Crescenzi, G. Gambosi, V. Kann, A. Marchetti-Spaccamela, and M. Protasi. Complexity and Approximation: Combinatorial optimization problems and their approximability properties, Springer-Verlag, 1999. See also "A compendium of NP optimization problems" (P. Crescenzi and V. Kann, eds.), http://www.nada.kth.se/~viggo/wwwcompendium/.

[ACJ+21] M. Arenas, L. A. Croquevielle, R. Jayaram, and C. Riveros. #NFA admits an FPRAS: Efficient Enumeration, Counting, and Uniform Generation for Logspace Classes. Journal of the ACM 68(6):48:1-48:40, 2021.

[ADH97] L. Adleman, J. DeMarrais, and M. Huang. Quantum computability, SIAM Journal on Computing 26:1524-1540, 1997.

[Adl78] L. Adleman. Two theorems on random polynomial time. FOCS 78.

[AD14] S. Aaronson and A. Drucker. A Full Characterization of Quantum Advice, SIAM Journal on Computing 43(3):1131–1183, 2014. arXiv:1004.0377.

[AFM01] L. Antuñes, L. Fortnow, and D. van Melkebeek. Computational depth, Proceedings of IEEE Complexity'01, pp. 266-273, 2001. https://people.cs.uchicago.edu/~fortnow/papers/depth-j.pdf

[AG00] C. Alvarez and R. Greenlaw. A compendium of problems complete for symmetric logarithmic space, Journal of Computational Complexity 9:73-95, 2000. ECCC TR96-039.

[AG04] S. Aaronson and D. Gottesman. Improved Simulation of Stabilizer Circuits, Phys. Rev. A 70, 052328, 2004. arXiv:quant-ph/0406196.

[AGH90] W. Aiello, S. Goldwasser, and J. Håstad. On The Power Of Interaction. Combinatorica 10 (1990), no. 1, 3--25.

[AGK07] D. Aharonov, D. Gottesman, S. Irani, and J. Kempe;stad. The power of quantum systems on a line. Comm. Math. Physics, vol. 287, no. 1, pp. 41-65 (2009) arXiv:0705.4077

[Agr01] M. Agrawal. For completeness, sublogarithmic space is no space, Information Processing Letters (82), 2001-2002, iss. 6, 321-325. http://www.cse.iitk.ac.in/~manindra/isomorphism/sublog-completeness.pdf

[AJT83] M. Ajtai. Σ-1-1-Formulae on finite structures, Annals of Pure and Applied Logic (24), 1983, 1-48.

[AH87] L. Adleman and M. Huang. Recognizing primes in random polynomial time, Proceedings of ACM STOC'87, pp. 462-470, 1987.

[AH87b] W. Aiello and J. Håstad. Perfect zero-knowledge languages can be recognized in two rounds, Proceedings of IEEE FOCS 1987, pp. 439-448, 1987.

[AIK04] B. Applebaum, Y. Ishai, and E. Kushilevitz. Cryptography in NC0, SIAM Journal of Computing, 36(4):845-888, 2006, http://www.eng.tau.ac.il/%7Ebennyap/pubs/nc0-full.pdf.

[AJ93] C. Alvarez and B. Jenner. A very hard log-space counting class, Theoretical Computer Science 107:3-30, 1993.

[AK02] V. Arvind and P. Kurur. Graph isomorphism is in SPP, Information and Computation, 204(5):835-852, 2006 ECCC TR02-037

[AK06] S. Aaronson and G. Kuperberg. Quantum Versus Classical Proofs and Advice. Theory of Computing 3(7):129-157, 2007 https://theoryofcomputing.org/articles/v003a007/ arXiv:quant-ph/0604056

[AK96] F. Ablayev and M. Karpinski. On the power of randomized branching programs, Proceedings of the International Colloquium on Automata, Languages, and Programming (ICALP), Springer-Verlag 1099, pp. 348-356, 1996. ECCC TR95-054, DIMACS TR 96-46.

[AKL+79] R. Aleliunas, R. M. Karp, R. J. Lipton, L. Lovász, and C. Rackoff. Random walks, traversal sequences, and the complexity of maze problems, Proceedings of IEEE FOCS'79, pp. 218-223, 1979.

[AKR+03] E. Allender, M. Koucký, D. Ronneburger, et al. Derandomization and distinguishing complexity, Proceedings of the 18th Annual IEEE Conference on Computational Complexity, 209-220.

[AKS94] V. Arvind, J. Köbler and R. Schuler. On helping and interactive proof systems, Algorithms and Computation: 5th International Symposium, 137-145.

[AKS02] M. Agrawal, N. Kayal, and N. Saxena. Primes is in P, Annals of Mathematics, 160 (2004), 781-793. http://www.cse.iitk.ac.in/primality.pdf.

[AKS+95] V. Arvind, J. Köbler, U. Schöning, and R. Schuler. If NP has polynomial-size circuits, then MA=AM, Theoretical Computer Science 137, 1995. http://www.informatik.hu-berlin.de/Institut/struktur/algorithmenII/Papers/ma-am.ps.gz

[All96] E. Allender. Circuit complexity before the dawn of the new millennium, Proceedings of the 16th Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FST&TCS), Lecture Notes in Computer Science 1180, pp. 1-18, 1996. DIMACS TR 97-49.

[All99] E. Allender. The permanent requires large uniform threshold circuits, Chicago Journal of Theoretical Computer Science 7, 1999. DIMACS TR 97-51.

[ALM+98] S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and hardness of approximation problems, Journal of the ACM 45(3):501-555, 1998. ECCC TR98-008.

[AM04] R. Alur and P. Madhusudan. Visibly Pushdown Languages, Proceedings of ACM STOC'04, 2004., 202-211.

[AM09] R. Alur and P. Madhusudan. Adding Nesting Structure to Words., Journal of the ACM 56(3), Article 16, May 2009.

[Amb14] A. Ambainis. On physical problems that are slightly more difficult than QMA, Proceedings of the 2014 IEEE 29th Conference on Computational Complexity, 2014. arXiv:quant-ph/1312.4758.

[AMP02] F. Ablayev, C. Moore, and C. Pollett. Quantum and stochastic branching programs of bounded width, Proceedings of the International Colloquium on Automata, Languages, and Programming (ICALP), 2002. arXiv:quant-ph/0201139, ECCC TR02-013.

[AMS06] N. Alon, D. Moshkovitz, and S. Safra. Algorithmic construction of sets for k-restrictions, ACM Transactions on Algorithms (TALG) 2(2): 153–177, 2006. doi:10.1145/1150334.1150336

[Ani+23] Joshua Ani et al. Complexity of Motion Planning of Arbitrarily Many Robots: Gadgets, Petri Nets, and Counter Machines. 2023. arxiv: [1]

[AN02] D. Aharonov and T. Naveh. Quantum NP - a survey, arXiv:quant-ph/0210077.

[AP95] G. Ausiello and M. Protasi Local search, reducibility, and approximability of NP optimization problems, Information Processing Letters 54:73-79, 1995.

[AR01] M. Alekhnovich and A. A. Razborov. Resolution is not automatizable unless W[P] is tractable, Proceedings of IEEE FOCS'01, pp. 210-219, 2001.

[AR03] D. Aharonov and O. Regev. A lattice problem in quantum NP, arXiv:quant-ph/0307220.

[AR88] E. Allender and R. Rubinstein. P-printable sets, SIAM Journal on Computing 17(6):1193-1202, 1988.

[AR16] B. Applebaum and P. Raykov. From Private Simultaneous Messages to Zero-Information Arthur-Merlin Protocols and Back, Proceedings of TCC(A2), pp. 65-82, 2016.

[Aro96] S. Arora. Polynomial time approximation scheme for Euclidean TSP and other geometric problems, Journal of the ACM 45(5) 753-782, 1998. https://www.cs.princeton.edu/~arora/pubs/tsp.ps

[ARZ99] E. Allender, K. Reinhardt, and S. Zhou. Isolation, matching, and counting: uniform and nonuniform upper bounds, Journal of Computer and System Sciences 59:164-181, 1999. http://www.cs.rutgers.edu/pub/allender/matching.pdf.

[AS94] E. Allender and M. Strauss. Measure on small complexity classes with applications for BPP, Proceedings of IEEE FOCS'94, pp. 807-818, 1994. ECCC TR94-004, DIMACS TR 94-18.

[AS98] S. Arora and M. Safra. Probabilistic checking of proofs: a new characterization of NP, Journal of the ACM 45(1):70-122, 1998. http://www.cs.princeton.edu/~arora/pubs/as.ps.

[ASV00] A. Ambainis, L. Schulman, and U. Vazirani. Quantum computing with highly mixed states, Proceedings of ACM STOC'2000, pp. 705-714, 2000. arXiv:quant-ph/0003136.

[ATW+00] R. Armoni, A. Ta-Shma, A. Wigderson, and S. Zhou. An O(log(n)4/3) algorithm for (s,t) connectivity in undirected graphs, Journal of the ACM 47(2):294-311, 2000. http://whiteboard.cs.tau.ac.il/~amnon/Papers/ATWZ.jacm00.pdf

[AV04] V. Arvind and T. C. Vijayaraghavan. Abelian permutation group problems and logspace counting classes, Proceedings of the 19th IEEE Conference on Computational Complexity, .

[AW09] S. Aaronson and J. Watrous. Closed Timelike Curves Make Quantum and Classical Computing Equivalent, Proceedings of the Royal Society A 465:631-647, 2009. arXiv:0808.2669.

[AW90] E. Allender and K. W. Wagner. Counting hierarchies: polynomial time and constant depth circuits, Bulletin of the EATCS 40, February 1990. http://people.cs.uchicago.edu/~fortnow/beatcs/column40.ps.

B

[Bab85] L. Babai. Trading Group Theory for Randomness. In 17th STOC, pages 421--429, 1985.

[Bab87] L. Babai. Random oracles separate PSPACE from the polynomial-time hierarchy. Information Processing Letters, 26 (1987) 51-53.

[Bar02] B. Barak. A probabilistic-time hierarchy theorem for "slightly non-uniform" algorithms, Proceedings of RANDOM'2002, 2002. http://www.math.weizmann.ac.il/~/boaz/Papers/bptime.ps

[Bar89] D. A. M. Barrington. Bounded-width polynomial-size branching programs can recognize exactly those languages in NC1, Journal of Computer and System Sciences 38:150-164, 1989.

[Baz95] C. Bazgan. Approximation de problèmes d'optimisation et de fonctions totales de NP, PhD thesis, INRIA, Orsay, France, 1998. http://l1.lamsade.dauphine.fr/~bazgan/Papers/these.ps

[BB12] M. Bläser and B. Manthey. Smoothed Complexity Theory, Proceedings of the 37th Int. Symp. on Mathematical Foundations of Computer Science, 2012. ArXiv: 1202.1936.

[BB92] A. Berthiaume and G. Brassard. The quantum challenge to structural complexity theory. Proceedings of Structure in Complexity Theory, 1992, 132--137. DOI

[BBB+97] C. H. Bennett, E. Bernstein, G. Brassard, and U. Vazirani. Strengths and weaknesses of quantum computing, SIAM Journal on Computing, 26(5):1510-1523, 1997. arXiv:quant-ph/9701001.

[BBF98] R. Beigel, H. Buhrman, and L. Fortnow. NP might not be as easy as detecting unique solutions, Proceedings of ACM STOC'98, pp. 203-208, 1998. http://people.cs.uchicago.edu/~fortnow/papers/newiso.ps.

[BBR94] D. A. M. Barrington, R. Beigel, and S. Rudich. Representing Boolean functions as polynomials modulo composite integers, Computational Complexity, 4:367-382, 1994. http://www.cis.temple.edu/~beigel/papers/bbr-mods-cc.html.

[BBS86] J. Balcázar, R. Book, and U. Schöning. Sparse sets, lowness, and highness, SIAM Journal on Computing 15:739-747, 1986.

[BCE+95] P. Beame, S. Cook, J. Edmonds, R. Impagliazzo, and T. Pitassi. The relative complexity of NP search problems, Proceedings of ACM STOC'95, pp. 303-314, 1995. http://www.cs.washington.edu/homes/beame/search.ps

[BCH86] P. Beame, S. Cook, and J. Hoover. Log depth circuits for division and related problems, SIAM Journal on Computing 15:994-1003, 1986 http://www.cs.washington.edu/homes/beame/papers/division.ps.

[BCG+92] S. Ben-David, B. Chor, O. Goldreich, and M. Luby. On the theory of average case complexity, Journal of Computer and System Sciences 44(2):193-219, 1992. http://www.cs.technion.ac.il/~shai/aver.pdf

[BCK+14] H. Buhrman, R. Cleve, M. Koucky, B. Loff, and F. Speelman. Computing with a full memory: catalytic space, Symposium on the Theory of Computing (STOC) 857-866, 2014.

[BCS+97] L. Blum, F. Cucker, M. Shub, and S. Smale. Complexity and Real Computation, Springer-Verlag, 1997.

[BCD+89] A. Borodin, S. A. Cook, P. W. Dymond, W. L. Ruzzo, and M. L. Tompa. Two applications of inductive counting for complementation problems, SIAM Journal on Computing 18:559-578, 1989.

[BCP83] A. Borodin, S. A. Cook, and N. Pippenger. Parallel computations for well-endowed rings and space-bounded probabilistic machines, Information and Control 58:113-136, 1983.

[BCHTV17] A. Bouland, L. Chen, D. Holden, J. Thaler, and P. N. Vasudevan. On the Power of Statistical Zero Knowledge, Foundations of Computer Science, pp. 708-719, 2017. arXiv:[2].

[BCY11] F.G.S.L. Brandão, M. Christandl, and J. Yard. A quasipolynomial-time algorithm for the quantum separability problem. Proceedings of ACM STOC'11, pp. 343-352, 2011. arXiv:1011.2751.

[BD99] H. Buhrman and W. van Dam. Bounded quantum query complexity, Proceedings of IEEE Complexity'99, pp. 149-156, 1999. arXiv:quant-ph/9903035.

[BDG88] J. L. Balcázar, J. Díaz, and J. Gabarró Structural complexity 1

[BDH+92] G. Buntrock, C. Damm, U. Hertrampf, and Ch. Meinel. Structure and importance of logspace-MOD-classes, Mathematical Systems Theory 25:223-237, 1992. http://www.num.math.uni-goettingen.de/damm/papers/BDHM92.ps.gz.

[Bei89] R. Beigel. On the relativized power of additional accepting paths, Proceedings of IEEE Complexity'89, pp. 216-224, 1989. http://www.cis.temple.edu/~beigel/papers/ukp-structures.PS.gz.

[Bei94] R. Beigel. Perceptrons, PP, and the polynomial hierarchy, Computational Complexity 4:339-349, 1994. http://www.cis.temple.edu/~beigel/papers/delta2p-cc.PS.gz.

[Ber80] L. Berman. The complexity of logical theories, Theoretical Computer Science 11:71-78, 1980.

[BF92] R. Beigel and J. Feigenbaum. On Being Incoherent Without Being Very Hard. Comput. Complexity 2 (1992), no. 1, 1--17 http://www.cis.temple.edu/~beigel/papers/bf-coherent-cc.html

[BF99] H. Buhrman and L. Fortnow. One-sided versus two-sided randomness, Proceedings of the 16th Symposium on Theoretical Aspects of Computer Science (STACS), pp. 100-109, 1999. http://people.cs.uchicago.edu/~fortnow/papers/rpvsbpp.ps.

[BF03] R. Beigel. Are Cook and Karp ever the same?, Proceedings of the 18th Annual IEEE Conference on Computational Complexity, 333-336.

[BFL91] L. Babai, L. Fortnow, and C. Lund. Nondeterministic exponential time has two-prover interactive protocols, Computational Complexity 1:3-40, 1991. http://people.cs.uchicago.edu/~fortnow/papers/mip2.ps.

[BFM88] M. Blum, P. Feldman, and S. Micali. Non-interactive zero-knowledge proofs and their applications, Proceedings of the 20th STOC, ACM, 1988.

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[BFT98] H. Buhrman, L. Fortnow, and T. Thierauf. Nonrelativizing separations, Proceedings of IEEE Complexity'98, pp. 8-12, 1998. http://people.cs.uchicago.edu/~fortnow/papers/nonrel.ps.

[BGS75] T. Baker, J. Gill, and R. Solovay. Relativizations of the P=?NP question, SIAM Journal on Computing 4:431-442, 1975.

[BH77] L. Berman and J. Hartmanis. On isomorphism and density of NP and other complete sets, SIAM Journal on Computing 6:305-322, 1977.

[BG03] M. Ben-Or and D. Gutfreund. Trading help for interaction in statistical zero-knowledge proofs, J. Cryptology 16 (2003), no. 2, 95--116. http://www.cs.huji.ac.il/~danig/pubs/help_interaction.ps

[BG69] R. Book and S. Greibach. Quasi-realtime languages, Proceedings of ACM STOC pp. 15-18, 1969. http://portal.acm.org/citation.cfm?id=800169.805416

[BG81] C. H. Bennett and J. Gill. Relative to a random oracle A, PA != NPA != coNPA with probability 1, SIAM Journal on Computing, 10(1):96-113, 1981. DOI:10.1137/0210008

[BG92] R. Beigel and J. Gill. Counting classes: thresholds, parity, mods, and fewness, Theoretical Computer Science 103(1):3-23, 1992. http://www.cis.temple.edu/~beigel/papers/bg-mods-tcs.PS.gz.

[BG98] R. Beigel and J. Goldsmith. Downward separation fails catastrophically for limited nondeterminism classes, SIAM Journal on Computing 17(5):1420-1429, 1998. http://www.cis.temple.edu/~beigel/papers/bg-beta-draft.PS.gz.

[BG94] M. Bellare and S. Goldwasser. The complexity of decision versus search, SIAM Journal on Computing 23(1):91-119, 1994. http://www.cs.ucsd.edu/users/mihir/papers/compip.pdf

[BGG+90] M. Ben-Or, O. Goldreich, S. Goldwasser, J. Håstad, J. Kilian, S. Micali, and P. Rogaway. Everything provable is provable in zero-knowledge, Advances in Cryptology: CRYPTO'88 (S. Goldwasser, ed.), Lecture Notes in Computer Science 403, Springer-Verlag, pp. 37-56, 1990.

[BGK+88] M. Ben-Or, S. Goldwasser, J. Kilian, and A. Wigderson. Multi-prover interactive proofs: how to remove intractability, Proceedings of ACM STOC'88, pp. 113-131, 1988.

[BG82] A. Blass and Y. Gurevich. On the unique satisfiability problem, Information and Control 55(1-3):80-88, 1982.

[BGM02] E. Böhler, C. Glaßer, and D. Meister. Error-bounded probabilistic computations between MA and AM, Mathematical foundations of computer science 2003, 249--258. http://haegar.informatik.uni-wuerzburg.de/users/glasser/publications/sbp-ma-am-tr.pdf

[BGR93] B. von Braunmühl, R. Gengler, and R. Rettinger. The alternation hierarchy for sublogarithmic space is infinite, Computational Complexity, v.3 n.3, p.207-230, July 1993 [doi>10.1007/BF01271368] [3]

[BH91] S. R. Buss and L. Hay. On truth-table reducibility to SAT, Information and Computation 91(1):86-102, 1991.

[BH97] C. Berg and J. Håstad. On the BPP hierarchy problem, Technical Report TRITA-NA-9702, Royal Institute of Technology, Sweden, 1997. ftp://ftp.nada.kth.se/pub/documents/Theory/Christer-Berg/bpp.ps.

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