Difference between revisions of "Complexity Zoo References"

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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 290: Line 318:
 
     |srcdetail=Article 16, May 2009
 
     |srcdetail=Article 16, May 2009
 
  }}
 
  }}
 +
 +
<span id="amb14" style="color:maroon">[Amb14]</span>
 +
A. Ambainis.
 +
On physical problems that are slightly more difficult than QMA,
 +
<i>Proceedings of the 2014 IEEE 29th Conference on Computational Complexity</i>, 2014.
 +
arXiv:[http://arxiv.org/abs/1312.4758 quant-ph/1312.4758].
  
 
<span id="amp02" style="color:maroon">[AMP02]</span>
 
<span id="amp02" style="color:maroon">[AMP02]</span>
Line 303: 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 337: 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 378: Line 417:
 
     |srcdetails=204-214, 2004
 
     |srcdetails=204-214, 2004
 
}}
 
}}
 +
 +
<span id="aw09" style="color:maroon">[AW09]</span>
 +
S. Aaronson and J. Watrous.
 +
Closed Timelike Curves Make Quantum and Classical Computing Equivalent,
 +
<i>Proceedings of the Royal Society A</i> 465:631-647, 2009.
 +
[http://arxiv.org/abs/0808.2669 arXiv:0808.2669].
  
 
<span id="aw90" style="color:maroon">[AW90]</span>
 
<span id="aw90" style="color:maroon">[AW90]</span>
Line 424: 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 465: 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 480: 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 763: 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 813: 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 826: 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 853: 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 868: 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="ccd03" style="color:maroon">[CCD+03]</span>
+
<span id="cf91" style="color:maroon">[CF91]</span>
A. M. Childs, R. Cleve, E. Deotto, E. Farhi, S. Gutmann, and D. A. Spielman.
+
J.-Y. Cai and M. Furst.
Exponential algorithmic speedup by quantum walk,
+
PSPACE survives constant-width bottlenecks,
<i>Proceedings of ACM Symposium on Theory of Computing</i>, pp. 59-68, 2003.
+
<i>International Journal of Foundations of Computer Science</i> 2(1):67-76, 1991.
arXiv:[http://arxiv.org/abs/quant-ph/0209131 quant-ph/0209131].
 
  
<span id="ccg94" style="color:maroon">[CCG+94]</span>
+
<span id="co22" style="color:maroon">[CO22]</span>
R. Chang, B. Chor, O. Goldreich, J. Hartmanis, J. H&aring;stad, D. Ranjan, and P. Rohatgi.
+
Wojciech Czerwiński and Łukasz Orlikowski
The random oracle hypothesis is false,
+
Reachability in vector addition systems is Ackermann-complete,
<i>Journal of Computer and System Sciences</i> 49(1):24-39, 1994.
+
<i>Proceedings of the 62nd Annual IEEE Symposium on Foundations of Computer Science</i>, pages 1229–1240, 2022
 +
arXiv: [https://arxiv.org/abs/2104.13866]
  
<span id="cch01" style="color:maroon">[CCH+01]</span>
+
<span id="can96" style="color:maroon">[Can96]</span>
J.-Y. Cai, V. Chakaravarthy, L. Hemaspaandra, and M. Ogihara.
+
R. Canetti.
Some Karp-Lipton-type theorems based on S<sub>2</sub>,
+
More on BPP and the polynomial-time hierarchy,
University of Rochester Computer Science Technical Report TR-759, November 2001.
+
<i>Information Processing Letters</i> 57:237-241, 1996.
 +
 
 +
<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="ccg94" style="color:maroon">[CCG+94]</span>
 +
R. Chang, B. Chor, O. Goldreich, J. Hartmanis, J. H&aring;stad, D. Ranjan, and P. Rohatgi.
 +
The random oracle hypothesis is false,
 +
<i>Journal of Computer and System Sciences</i> 49(1):24-39, 1994.
 +
 
 +
<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="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="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 892: Line 992:
 
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 928: Line 1,023:
 
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 1,103: Line 1,198:
 
<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]
 +
 +
<span id="dam91" style="color:maroon">[Dam91]</span>
 +
C. Damm.
 +
DET=L<sup>(#L)</sup>,
 +
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 1,110: Line 1,211:
 
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.
 +
[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 1,115: Line 1,217:
 
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 1,120: Line 1,223:
 
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.
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<i>Mathematical Foundations of Computer Science</i> (MFCS '76), pp. 255-259, Springer LNCS 45, 1976.
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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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<span id="df97" style="color:maroon">[DF97]</span>
 
<span id="df97" style="color:maroon">[DF97]</span>
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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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<span id="df99" style="color:maroon">[DF99]</span>
 
<span id="df99" style="color:maroon">[DF99]</span>
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<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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<span id="dft96" style="color:maroon">[DFT96]</span>
 
<span id="dft96" style="color:maroon">[DFT96]</span>
Line 1,136: Line 1,249:
 
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.
 
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[http://mrfellows.net/papers/C33-relationaldatabase.ps Author's website version]
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<span id="dft98" style="color:maroon">[DFT96]</span>
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<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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<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,
 
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<i>SIAM J. Comput.</i> 36(3):763-778, 2006.
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<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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Three-player games are hard,
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M. David and T. Pitassi.
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<span id="dw86" style="color:maroon">[DW86]</span>
 
<span id="dw86" style="color:maroon">[DW86]</span>
Line 1,160: Line 1,285:
 
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.
 
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===== E =====
 
===== E =====
Line 1,167: Line 1,294:
 
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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<span id="ey07" style="color:maroon">[EY07]</span>
 
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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>
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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.
 
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[https://doi.org/10.1007/s00224-002-1089-8 doi:10.1007/s00224-002-1089-8]
 
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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>
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Gap-definable counting classes,
 
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<i>Journal of Computer and System Sciences</i> 48(1):116-148, 1994.
 
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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>
 
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<span id="fgh98" style="color:maroon">[FGH+98]</span>
 
<span id="fgh98" style="color:maroon">[FGH+98]</span>
Line 1,254: Line 1,388:
 
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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<span id="fmf16" style="color:maroon">[FMF16]</span>
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<span id="for94" style="color:maroon">[For94]</span>
 
<span id="for94" style="color:maroon">[For94]</span>
Line 1,305: Line 1,445:
 
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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<span id="fsw09" style="color:maroon">[FSW09]</span>
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Fixed-Polynomial Size Circuit Bounds,
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<span id="fur07" style="color:maroon">[Fur07]</span>
 
<span id="fur07" style="color:maroon">[Fur07]</span>
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<i>Quantum Information & Computation</i> 14(5 &amp; 6): 517-540, 2014.
 
<i>Quantum Information & Computation</i> 14(5 &amp; 6): 517-540, 2014.
 
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<span id="gkm15" style="color:maroon">[GKM15]</span>
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<span id="gkr95" style="color:maroon">[GKR+95]</span>
 
<span id="gkr95" style="color:maroon">[GKR+95]</span>
Line 1,390: Line 1,551:
 
Rectangles Are Nonnegative Juntas,
 
Rectangles Are Nonnegative Juntas,
 
<i>Proceedings of ACM STOC'15</i>, pp. 257-266, 2015.
 
<i>Proceedings of ACM STOC'15</i>, pp. 257-266, 2015.
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<span id="glv24" style="color:maroon">[GLV24]</span>
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K. Gajulapalli, Z. Li, I. Volkovich
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<span id="gm15" style="color:maroon">[GM15]</span>
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Input-Oblivious Proof Systems and a Uniform Complexity Perspective on P/poly,
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<span id="gmr89" style="color:maroon">[GMR89]</span>
 
<span id="gmr89" style="color:maroon">[GMR89]</span>
Line 1,450: Line 1,622:
 
The Landscape of Communication Complexity Classes,
 
The Landscape of Communication Complexity Classes,
 
<i>Proceedings of ICALP'16</i>, to appear, 2016.
 
<i>Proceedings of ICALP'16</i>, to appear, 2016.
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<span id="gpy19" style="color:maroon">[GPY19]</span>
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S. Gharibian, S. Piddock, and J. Yirka.
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<span id="gq19" style="color:maroon">[GQ19]</span>
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<span id="gra92" style="color:maroon">[Grä92]</span>
 
<span id="gra92" style="color:maroon">[Grä92]</span>
Line 1,465: Line 1,646:
 
On the power of deterministic reductions to C<sub>=</sub>P,
 
On the power of deterministic reductions to C<sub>=</sub>P,
 
Math. Systems Theory 26 (1993), no. 2, 215--233.
 
Math. Systems Theory 26 (1993), no. 2, 215--233.
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<span id="gri83" style="color:maroon">[Gri83]</span>
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D. Ju. Grigor'ev.
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Complexity of 'wild' matrix problems and of the isomorphism of algebras and graphs,
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<span id="gri01" style="color:maroon">[Gri01]</span>
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Matrix Lie algebra isomorphism,
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<span id="gs86" style="color:maroon">[GS86]</span>
 
<span id="gs86" style="color:maroon">[GS86]</span>
Line 1,495: Line 1,693:
 
S. Gharibian, and J. Sikora.
 
S. Gharibian, and J. Sikora.
 
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.
 
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.
 
<span id="gri01" style="color:maroon">[Gri01]</span>
 
M. Grigni.
 
A Sperner lemma complete for PPA,
 
<i>Information Processing Letters</i> 77:5-6 (2001), pp. 255-259.
 
  
 
<span id="gss03" style="color:maroon">[GSS+03]</span>
 
<span id="gss03" style="color:maroon">[GSS+03]</span>
Line 1,585: Line 1,778:
 
Communication Complexity of Set-Disjointness for All Probabilities,
 
Communication Complexity of Set-Disjointness for All Probabilities,
 
<i>Proceedings of RANDOM'14</i>, 721-736, 2014.
 
<i>Proceedings of RANDOM'14</i>, 721-736, 2014.
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<span id="gy16" style="color:maroon">[GY16]</span>
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S. Gharibian, and J. Yirka.
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The complexity of estimating local physical quantities,
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<span id="gz97" style="color:maroon">[GZ97]</span>
 
<span id="gz97" style="color:maroon">[GZ97]</span>
Line 1,590: Line 1,788:
 
Another proof that BPP subseteq PH (and more),
 
Another proof that BPP subseteq PH (and more),
 
ECCC [http://eccc.uni-trier.de/eccc-reports/1997/TR97-045/ TR97-045].
 
ECCC [http://eccc.uni-trier.de/eccc-reports/1997/TR97-045/ TR97-045].
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<span id="ghj22" style="color:maroon">[GHJ+22]</span>
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M. Göös, A. Hollender, S. Jain, G. Maystre, W. Pires, R. Robere, R. Tao
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===== H =====
 
===== H =====
Line 1,746: Line 1,950:
 
Testing product states, quantum Merlin-Arthur games and tensor optimisation,
 
Testing product states, quantum Merlin-Arthur games and tensor optimisation,
 
<i>Journal of the ACM</i> vol. 60 no. 1, 2013
 
<i>Journal of the ACM</i> vol. 60 no. 1, 2013
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<span id="hmp93" style="color:maroon">[HMP+93]</span>
 
<span id="hmp93" style="color:maroon">[HMP+93]</span>
Line 1,819: Line 2,024:
 
A note concerning nondeterministic tape complexities,
 
A note concerning nondeterministic tape complexities,
 
<i>Journal of the ACM</i> 4:608-612, 1972.
 
<i>Journal of the ACM</i> 4:608-612, 1972.
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<span id="ikw01" style="color:maroon">[IKW01]</span>
 
<span id="ikw01" style="color:maroon">[IKW01]</span>
 
R. Impagliazzo, V. Kabanets, and A. Wigderson.
 
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[https://www.cs.sfu.ca/~kabanets/Research/ikw.html Author's website version]
  
 
<span id="il90" style="color:maroon">[IL90]</span>
 
<span id="il90" style="color:maroon">[IL90]</span>
Line 1,830: Line 2,038:
 
No better ways to generate hard NP instances than picking uniformly at random,
 
No better ways to generate hard NP instances than picking uniformly at random,
 
<i>Proceedings of IEEE FOCS'90</i>, pp. 812-821, 1990.
 
<i>Proceedings of IEEE FOCS'90</i>, pp. 812-821, 1990.
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R. Impagliazzo and P. Moser.
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ECCC [http://eccc.uni-trier.de/eccc-reports/2001/TR01-064/ TR01-064].
 
ECCC [http://eccc.uni-trier.de/eccc-reports/2001/TR01-064/ TR01-064].
  
Line 2,539: Line 2,891:
 
Average-case computations - comparing AvgP, HP, and Nearly-P,
 
Average-case computations - comparing AvgP, HP, and Nearly-P,
 
<i>Proceedings of IEEE Complexity'2005</i>, pp. 235-242, 2005.
 
<i>Proceedings of IEEE Complexity'2005</i>, pp. 235-242, 2005.
[http://www.thi.uni-hannover.de/forschung/publikationen/daten/ni-sc05.pdf http://www.thi.uni-hannover.de/forschung/publikationen/daten/ni-sc05.pdf].
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[https://doi.org/10.1109/CCC.2005.4 doi:10.1109/CCC.2005.4]
  
 
<span id="nsw92" style="color:maroon">[NSW92]</span>
 
<span id="nsw92" style="color:maroon">[NSW92]</span>
Line 2,545: Line 2,897:
 
Undirected connectivity in O(log<sup>1.5</sup>n) space,
 
Undirected connectivity in O(log<sup>1.5</sup>n) space,
 
<i>Proceedings of IEEE FOCS'92</i>, pp. 24-29, 1992.
 
<i>Proceedings of IEEE FOCS'92</i>, pp. 24-29, 1992.
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[https://doi.org/10.1109/SFCS.1992.267822 doi:10.1109/SFCS.1992.267822]
  
 
<span id="nt95" style="color:maroon">[NT95]</span>
 
<span id="nt95" style="color:maroon">[NT95]</span>
 
N. Nisan and A. Ta-Shma.
 
N. Nisan and A. Ta-Shma.
 
Symmetric logspace is closed under complement,
 
Symmetric logspace is closed under complement,
<i>Proceedings of ACM STOC'95</i>, pp. 140-146, 1995.
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<span id="nw94" style="color:maroon">[NW94]</span>
 
<span id="nw94" style="color:maroon">[NW94]</span>
Line 2,556: Line 2,911:
 
Hardness versus randomness,
 
Hardness versus randomness,
 
<i>Journal of Computer and System Sciences</i> 49:149-167, 1994.
 
<i>Journal of Computer and System Sciences</i> 49:149-167, 1994.
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<span id="ny03" style="color:maroon">[NY03]</span>
 
<span id="ny03" style="color:maroon">[NY03]</span>
 
H. Nishimura and T. Yamakami.
 
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Polynomial time quantum computation with advice,
 
Polynomial time quantum computation with advice,
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arXiv:[http://arxiv.org/abs/quant-ph/0305100 quant-ph/0305100],
 
arXiv:[http://arxiv.org/abs/quant-ph/0305100 quant-ph/0305100],
 
ECCC [http://eccc.uni-trier.de/eccc-reports/2003/TR03-059/ TR03-059], 2003.
 
ECCC [http://eccc.uni-trier.de/eccc-reports/2003/TR03-059/ TR03-059], 2003.
Line 2,565: Line 2,924:
 
<span id="ny03b" style="color:maroon">[NY03b]</span>
 
<span id="ny03b" style="color:maroon">[NY03b]</span>
 
H. Nishimura and T. Yamakami.
 
H. Nishimura and T. Yamakami.
An algorithmic argument [http://www.cheatcodesforsim3.com/ for] query complexity lower bounds of advised quantum computation,
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===== O =====
 
===== O =====
Line 2,574: Line 2,935:
 
On serializable languages,
 
On serializable languages,
 
<i>International Journal of Foundations of Computer Science</i> 5(3-4):303-318, 1994.
 
<i>International Journal of Foundations of Computer Science</i> 5(3-4):303-318, 1994.
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<span id="oh93" style="color:maroon">[OH93]</span>
 
<span id="oh93" style="color:maroon">[OH93]</span>
Line 2,579: Line 2,941:
 
A complexity theory for feasible closure properties,
 
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<i>Journal of Computer and System Sciences</i> 46(3):295-325, 1993.
 
<i>Journal of Computer and System Sciences</i> 46(3):295-325, 1993.
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<span id="oka96" style="color:maroon">[Oka96]</span>
 
<span id="oka96" style="color:maroon">[Oka96]</span>
 
T. Okamoto.
 
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On relationships between statistical zero-knowledge proofs,
 
On relationships between statistical zero-knowledge proofs,
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<span id="oks94" style="color:maroon">[OKS+94]</span>
 
<span id="oks94" style="color:maroon">[OKS+94]</span>
Line 2,589: Line 2,954:
 
Instance complexity,
 
Instance complexity,
 
<i>Journal of the ACM</i> 41:96-121, 1994.
 
<i>Journal of the ACM</i> 41:96-121, 1994.
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<span id="ost91" style="color:maroon">[Ost91]</span>
 
<span id="ost91" style="color:maroon">[Ost91]</span>
Line 2,594: Line 2,960:
 
One-way functions, hard on average problems and statistical zero-knowledge proofs,
 
One-way functions, hard on average problems and statistical zero-knowledge proofs,
 
<i>Proceedings of IEEE Complexity'91</i>, pp. 51-59, 1991.
 
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<span id="ow93" style="color:maroon">[OW93]</span>
 
<span id="ow93" style="color:maroon">[OW93]</span>
Line 2,599: Line 2,967:
 
One-way functions are essential for non-trivial zero-knowledge,
 
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<i>Proceedings of the 2nd Israel Symposium on Theory of Computing and Systems (ISTCS-93)</i>, 1993.
 
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===== P =====
 
===== P =====
Line 2,605: Line 2,975:
 
C. H. Papadimitriou.
 
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<span id="pap90" style="color:maroon">[Pap90]</span>
 
<span id="pap90" style="color:maroon">[Pap90]</span>
Line 2,611: Line 2,983:
 
On graph-theoretic lemmata and complexity classes,
 
On graph-theoretic lemmata and complexity classes,
 
<i>Proceedings of IEEE FOCS'90</i>, pp. 794-801, 1990.
 
<i>Proceedings of IEEE FOCS'90</i>, pp. 794-801, 1990.
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<span id="pap94" style="color:maroon">[Pap94]</span>
 
<span id="pap94" style="color:maroon">[Pap94]</span>
Line 2,621: Line 2,994:
 
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.
 
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Line 2,634: Line 3,009:
 
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.
 
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<span id="pp00" style="color:maroon">[PP00]</span>
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Efficient factorization with a single pure qubit and log N mixed qubits,
 
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Line 2,645: Line 3,022:
 
On determinism versus nondeterminism and related problems,
 
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<i>Proceedings of IEEE FOCS'83</i>, pp. 429-438, 1983.
 
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<span id="pra74" style="color:maroon">[Pra74]</span>
 
V. R. Pratt.
 
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<span id="pra75" style="color:maroon">[Pra75]</span>
 
<span id="pra75" style="color:maroon">[Pra75]</span>
Line 2,655: Line 3,040:
 
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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Line 2,660: Line 3,046:
 
Probabilistic communication complexity,
 
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On limited nondeterminism and the complexity of the VC dimension,
 
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Line 2,684: Line 3,077:
 
Two remarks on the power of counting,
 
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<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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The sign-rank of AC0,
 
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Line 2,861: Line 3,285:
 
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Line 3,022: Line 3,454:
  
 
===== T =====
 
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[https://www.cs.cornell.edu/~eva/Gap.Between.Monotone.NonMonotone.Circuit.Complexity.is.Exponential.pdf Author's webpage version]
  
 
<span id="tar89" style="color:maroon">[Tar89]</span>
 
<span id="tar89" style="color:maroon">[Tar89]</span>
Line 3,037: Line 3,480:
 
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,
 
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,
 
<i>Combinatorica</i>, 9:385-392, 1989.
 
<i>Combinatorica</i>, 9:385-392, 1989.
 +
[https://doi.org/10.1007/BF02125350 doi:10.1007/BF02125350]
  
 
<span id="tha98" style="color:maroon">[Tha98]</span>
 
<span id="tha98" style="color:maroon">[Tha98]</span>
Line 3,046: Line 3,490:
 
<span id="tod89" style="color:maroon">[Tod89]</span>
 
<span id="tod89" style="color:maroon">[Tod89]</span>
 
S. Toda.
 
S. Toda.
On the computational power of PP and P,
+
On the computational power of PP and (+)P,
 
<i>Proceedings of IEEE FOCS'89</i>, pp. 514-519, 1989.
 
<i>Proceedings of IEEE FOCS'89</i>, pp. 514-519, 1989.
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[https://doi.org/10.1109/SFCS.1989.63527 doi:10.1109/SFCS.1989.63527]
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<span id="tod91" style="color:maroon">[Tod91]</span>
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S. Toda.
 +
Counting problems computationally equivalent to the
 +
determinant,
 +
manuscript, 1991.
  
 
<span id="tor00" style="color:maroon">[Tor00]</span>
 
<span id="tor00" style="color:maroon">[Tor00]</span>
Line 3,053: Line 3,504:
 
On the hardness of graph isomorphism,
 
On the hardness of graph isomorphism,
 
<i>Proceedings of IEEE FOCS'2000</i>, pp. 180-186, 2000.
 
<i>Proceedings of IEEE FOCS'2000</i>, pp. 180-186, 2000.
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[https://doi.org/10.1109/SFCS.2000.892080 doi:10.1109/SFCS.2000.892080]
  
 
<span id="tor88" style="color:maroon">[Tor88]</span>
 
<span id="tor88" style="color:maroon">[Tor88]</span>
 
J. Tor&aacute;n.
 
J. Tor&aacute;n.
 
Structural Properties of the Counting Hierarchies,
 
Structural Properties of the Counting Hierarchies,
Ph.D Theis, 1988.
+
Ph.D Thesis, 1988.
 +
[http://hdl.handle.net/2117/189084 http://hdl.handle.net/2117/189084]
  
 
<span id="tor90" style="color:maroon">[Tor90]</span>
 
<span id="tor90" style="color:maroon">[Tor90]</span>
Line 3,063: Line 3,516:
 
Counting the number of solutions,
 
Counting the number of solutions,
 
<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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[https://doi.org/10.1007/BFb0029600 doi:10.1007/BFb0029600]
  
 
<span id="tor91" style="color:maroon">[Tor91]</span>
 
<span id="tor91" style="color:maroon">[Tor91]</span>
Line 3,068: Line 3,522:
 
Complexity classes defined by counting quantifiers,
 
Complexity classes defined by counting quantifiers,
 
<i>Journal of the ACM</i> 38:753-774, 1991.
 
<i>Journal of the ACM</i> 38:753-774, 1991.
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[https://doi.org/10.1145/116825.116858 doi:10.1145/116825.116858]
  
 
<span id="tur36" style="color:maroon">[Tur36]</span>
 
<span id="tur36" style="color:maroon">[Tur36]</span>
Line 3,073: Line 3,528:
 
On computable numbers, with an application to the <i>Entscheidungsproblem</i>,
 
On computable numbers, with an application to the <i>Entscheidungsproblem</i>,
 
<i>Proceedings of the London Mathematical Society</i> 2(42):230-265, 1936; 2(43):544-546, 1937.
 
<i>Proceedings of the London Mathematical Society</i> 2(42):230-265, 1936; 2(43):544-546, 1937.
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[https://doi.org/10.1112/plms/s2-42.1.230 doi:10.1112/plms/s2-42.1.230]
  
 
<span id="tv02" style="color:maroon">[TV02]</span>
 
<span id="tv02" style="color:maroon">[TV02]</span>
 
L. Trevisan and S. Vadhan.
 
L. Trevisan and S. Vadhan.
 
Pseudorandomness and average-case complexity via uniform reductions,
 
Pseudorandomness and average-case complexity via uniform reductions,
<i>Proceedings of CCC'2002</i>, pp. 129-138, 2002.
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<i>computational complexity</i> 16:331-364, 2007. [https://doi.org/10.1007/s00037-007-0233-x doi:10.1007/s00037-007-0233-x]
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===== U =====
 
===== U =====
Line 3,084: Line 3,541:
 
C. Umans.
 
C. Umans.
 
The minimum equivalent DNF problem and shortest implicants,
 
The minimum equivalent DNF problem and shortest implicants,
<i>Proceedings of IEEE FOCS'98</i>, pp. 556-563, 1998.
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<i> J. Comput. Syst. Sci.</i> 63(4):597-611, 2001. [https://doi.org/10.1006/jcss.2001.1775 doi:10.1006/jcss.2001.1775]
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Originally appeared in <i>Proceedings of IEEE FOCS'98</i>, pp. 556-563, 1998. [https://doi.org/10.1109/SFCS.1998.743506 doi:10.1109/SFCS.1998.743506]
  
 
===== V =====
 
===== V =====
Line 3,091: Line 3,549:
 
S. Vadhan.
 
S. Vadhan.
 
An Unconditional Study of Computational Zero Knowledge,
 
An Unconditional Study of Computational Zero Knowledge,
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<i>SIAM J. Comput.</i> 36(4):1160-1214, 2006.
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[https://doi.org/10.1137/S0097539705447207 doi:10.1137/S0097539705447207]
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<span id="val03" style="color:maroon">[Val03]</span>
 
<span id="val03" style="color:maroon">[Val03]</span>
Line 3,097: Line 3,557:
 
Three problems in computer science,
 
Three problems in computer science,
 
<i>Journal of the ACM</i> 50(1):96-99, 2003.
 
<i>Journal of the ACM</i> 50(1):96-99, 2003.
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[https://doi.org/10.1145/602382.602410 doi:10.1145/602382.602410]
  
 
<span id="val76" style="color:maroon">[Val76]</span>
 
<span id="val76" style="color:maroon">[Val76]</span>
Line 3,102: Line 3,563:
 
Relative complexity of checking and evaluating,
 
Relative complexity of checking and evaluating,
 
<i>Information Processing Letters</i>, 5:20-23, 1976.
 
<i>Information Processing Letters</i>, 5:20-23, 1976.
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[https://doi.org/10.1016/0020-0190(76)90097-1 doi:10.1016/0020-0190(76)90097-1]
  
 
<span id="val79" style="color:maroon">[Val79]</span>
 
<span id="val79" style="color:maroon">[Val79]</span>
Line 3,107: Line 3,569:
 
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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[https://doi.org/10.1016/0304-3975(79)90044-6 doi:10.1016/0304-3975(79)90044-6]
  
 
<span id="val79b" style="color:maroon">[Val79b]</span>
 
<span id="val79b" style="color:maroon">[Val79b]</span>
Line 3,112: Line 3,575:
 
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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[https://doi.org/10.1145/800135.804419 doi:10.1145/800135.804419]
  
 
<span id="var82" style="color:maroon">[Var82]</span>
 
<span id="var82" style="color:maroon">[Var82]</span>
Line 3,117: Line 3,581:
 
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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[https://doi.org/10.1145/800070.802186 doi:10.1145/800070.802186]
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[https://www.cs.rice.edu/~vardi/papers/stoc82.pdf Author's website version]
  
 
<span id="ven91" style="color:maroon">[Ven91]</span>
 
<span id="ven91" style="color:maroon">[Ven91]</span>
Line 3,122: Line 3,588:
 
Properties that characterize LOGCFL,
 
Properties that characterize LOGCFL,
 
<i>Journal of Computer and System Sciences</i> 43(2):380-404, 1991.
 
<i>Journal of Computer and System Sciences</i> 43(2):380-404, 1991.
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[https://doi.org/10.1016/0022-0000(91)90020-6 doi:10.1016/0022-0000(91)90020-6]
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<span id="ver92" style="color:maroon">[Ver92]</span>
 
<span id="ver92" style="color:maroon">[Ver92]</span>
Line 3,127: Line 3,595:
 
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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[https://doi.org/10.1109/SCT.1992.215389 doi:10.1109/SCT.1992.215389]
  
 
<span id="ver95" style="color:maroon">[Ver95]</span>
 
<span id="ver95" style="color:maroon">[Ver95]</span>
Line 3,132: Line 3,601:
 
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,
 
<i>Izvestiya Mathematics</i> 59(6):1103-1122, 1995.
 
<i>Izvestiya Mathematics</i> 59(6):1103-1122, 1995.
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[https://doi.org/10.1070/IM1995v059n06ABEH000050 doi:10.1070/IM1995v059n06ABEH000050]
  
 
<span id="vid03" style="color:maroon">[Vid03]</span>
 
<span id="vid03" style="color:maroon">[Vid03]</span>
Line 3,138: Line 3,608:
 
<i>Physical Review Letters</i> 91:147902, 2003.
 
<i>Physical Review Letters</i> 91:147902, 2003.
 
arXiv:[http://arxiv.org/abs/quant-ph/0301063 quant-ph/0301063].
 
arXiv:[http://arxiv.org/abs/quant-ph/0301063 quant-ph/0301063].
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[https://doi.org/10.1103/PhysRevLett.91.147902 doi:10.1103/PhysRevLett.91.147902]
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<span id="vin91" style="color:maroon">[Vin91]</span>
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V. Vinay.
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Counting auxiliary pushdown automata and semi-unbounded arithmetic circuits,
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<span id="vin04" style="color:maroon">[Vin04]</span>
 
<span id="vin04" style="color:maroon">[Vin04]</span>
Line 3,143: Line 3,619:
 
Counting complexity of solvable group problems,
 
Counting complexity of solvable group problems,
 
<i>SIAM Journal on Computing</i> 33(4):852-869, 2004,
 
<i>SIAM Journal on Computing</i> 33(4):852-869, 2004,
[http://www.cse.unl.edu/~vinod/papers/SIAMFinal.ps http://www.cse.unl.edu/~vinod/papers/SIAMFinal.ps].
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[https://doi.org/10.1137/S0097539703420651 doi:10.1137/S0097539703420651]
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[http://www.cse.unl.edu/~vinod/papers/SIAMFinal.ps Author's website version].
  
 
<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,
ECCC [http://eccc.uni-trier.de/eccc-reports/2004/TR04-056/ TR04-056], 2004.
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<i>Theoretical Computer Science</i> 347(1-2):415-418, 2005.
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<span id="vsb83" style="color:maroon">[VSB+83]</span>
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<span id="vol20" style="color:maroon">[Vol20]</span>
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I. Volkovich.
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<span id="vsb83" style="color:maroon">[VSBR83]</span>
 
L. G. Valiant, S. Skyum, S. Berkowitz, and C. Rackoff.
 
L. G. Valiant, S. Skyum, S. Berkowitz, and C. Rackoff.
 
Fast parallel computation of polynomials using few processors,
 
Fast parallel computation of polynomials using few processors,
 
<i>SIAM Journal on Computing</i> 12(4):641-644, 1983.
 
<i>SIAM Journal on Computing</i> 12(4):641-644, 1983.
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[https://doi.org/10.1137/0212043 doi:10.1137/0212043]
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<span id="vv85" style="color:maroon">[VV85]</span>
 
<span id="vv85" style="color:maroon">[VV85]</span>
 
U. V. Vazirani and V. V. Vazirani.
 
U. V. Vazirani and V. V. Vazirani.
Random polynomial time equals semi-random polynomial time,
+
Random polynomial time equals slightly-random polynomial time,
 
<i>Proceedings of IEEE FOCS'85</i>, pp. 417-428, 1985.
 
<i>Proceedings of IEEE FOCS'85</i>, pp. 417-428, 1985.
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<span id="vv86" style="color:maroon">[VV86]</span>
 
<span id="vv86" style="color:maroon">[VV86]</span>
Line 3,164: Line 3,652:
 
NP is as easy as detecting unique solutions,
 
NP is as easy as detecting unique solutions,
 
<i>Theoretical Computer Science</i> 47(3):85-93, 1986.
 
<i>Theoretical Computer Science</i> 47(3):85-93, 1986.
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[https://doi.org/10.1016/0304-3975(86)90135-0 doi:10.1016/0304-3975(86)90135-0]
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<span id="vya03" style="color:maroon">[Vya03]</span>
 
<span id="vya03" style="color:maroon">[Vya03]</span>
Line 3,175: Line 3,665:
 
K. W. Wagner.
 
K. W. Wagner.
 
The complexity of combinatorial problems with succinct input representation,
 
The complexity of combinatorial problems with succinct input representation,
<i>Acta Informatica</i> 23:325-356, 1986.
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<i>Acta Informatica</i> 23:325-356, 1986.  
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<span id="wag88" style="color:maroon">[Wag90]</span>
 
K. W. Wagner.
 
K. W. Wagner.
Bounded query computation,
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Bounded query classes,
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<i>SIAM J. Comput.</i> 19(5): 833-846 (1990) [https://doi.org/10.1137/0219058 doi:10.1137/0219058]
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<span id="ww85" style="color:maroon">[WW85]</span>
 
<span id="ww85" style="color:maroon">[WW85]</span>
Line 3,186: Line 3,678:
 
On the Boolean closure of NP,
 
On the Boolean closure of NP,
 
<i>Proceedings of the International Conference on Fundamentals of Computation Theory</i>, LNCS volume 199, Springer-Verlag, pp. 485-493.
 
<i>Proceedings of the International Conference on Fundamentals of Computation Theory</i>, LNCS volume 199, Springer-Verlag, pp. 485-493.
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<span id="wat00" style="color:maroon">[Wat00]</span>
 
<span id="wat00" style="color:maroon">[Wat00]</span>
Line 3,192: Line 3,685:
 
<i>Proceedings of IEEE FOCS'2000</i>, pp. 537-546, 2000.
 
<i>Proceedings of IEEE FOCS'2000</i>, pp. 537-546, 2000.
 
arXiv:[http://arxiv.org/abs/cs.CC/0009002 cs.CC/0009002].
 
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<span id="wat02" style="color:maroon">[Wat02]</span>
 
<span id="wat02" style="color:maroon">[Wat02]</span>
Line 3,198: Line 3,692:
 
to appear in <i>Proceedings of IEEE FOCS'2002</i>.
 
to appear in <i>Proceedings of IEEE FOCS'2002</i>.
 
arXiv:[http://arxiv.org/abs/quant-ph/0202111 quant-ph/0202111].
 
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<span id="wat09" style="color:maroon">[Wat09]</span>
 
<span id="wat09" style="color:maroon">[Wat09]</span>
Line 3,203: Line 3,698:
 
Quantum Computational Complexity, <i>Encyclopedia of Complexity and Systems Science</i>, Springer, pp. 7174-7201, 2009.
 
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<span id="wat87" style="color:maroon">[Wat87]</span>
Line 3,208: Line 3,704:
 
Comparison of polynomial time completeness notions,
 
Comparison of polynomial time completeness notions,
 
<i>Theoretical Computer Science</i> 53:249-265, 1987.
 
<i>Theoretical Computer Science</i> 53:249-265, 1987.
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<span id="wat99" style="color:maroon">[Wat99]</span>
 
<span id="wat99" style="color:maroon">[Wat99]</span>
 
J. Watrous.
 
J. Watrous.
 
PSPACE has constant-round quantum interactive proof systems,
 
PSPACE has constant-round quantum interactive proof systems,
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<span id="wat99b" style="color:maroon">[Wat99b]</span>
Line 3,219: Line 3,718:
 
Space-bounded quantum complexity,
 
Space-bounded quantum complexity,
 
<i>Journal of Computer and System Sciences</i> 59(2):281-326, 1999.
 
<i>Journal of Computer and System Sciences</i> 59(2):281-326, 1999.
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<span id="wat15" style="color:maroon">[Wat15]</span>
 
<span id="wat15" style="color:maroon">[Wat15]</span>
Line 3,225: Line 3,725:
 
The complexity of deciding statistical properties of samplable distributions,
 
The complexity of deciding statistical properties of samplable distributions,
 
<i>Theory of Computing</i>, 11:1-34, 2015.
 
<i>Theory of Computing</i>, 11:1-34, 2015.
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<span id="weg87" style="color:maroon">[Weg87]</span>
 
<span id="weg87" style="color:maroon">[Weg87]</span>
 
I. Wegener.
 
I. Wegener.
 
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The Complexity of Boolean Functions, New York: Wiley 1987.
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<span id="weg88" style="color:maroon">[Weg88]</span>
 
<span id="weg88" style="color:maroon">[Weg88]</span>
Line 3,234: Line 3,736:
 
On the Complexity of Branching Programs and Decision Trees for Clique Functions,
 
On the Complexity of Branching Programs and Decision Trees for Clique Functions,
 
<i>Journal of the ACM</i> 35(2):461-471, 1988.
 
<i>Journal of the ACM</i> 35(2):461-471, 1988.
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<span id="weh06" style="color:maroon">[Weh06]</span>
 
<span id="weh06" style="color:maroon">[Weh06]</span>
Line 3,241: Line 3,743:
 
the 23rd Annual Symposium on Theoretical Aspects of Computer Science</i>, volume 3884 of <i>Lecture
 
the 23rd Annual Symposium on Theoretical Aspects of Computer Science</i>, volume 3884 of <i>Lecture
 
Notes in Computer Science</i>, pages 162–171. Springer, 2006
 
Notes in Computer Science</i>, pages 162–171. Springer, 2006
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<span id="wig06" style="color:maroon">[Wig06]</span>
 
<span id="wig06" style="color:maroon">[Wig06]</span>
 
A. Wigderson
 
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Coherent functions and program checkers,
 
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Probabilistic quantifiers and games,
 
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Simulating BPP using a general weak random source,
 
Simulating BPP using a general weak random source,
 
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[[Category:Computational Complexity]]
 
[[Category:Computational Complexity]]

Revision as of 20:04, 9 May 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

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