Difference between revisions of "Complexity Zoo References"

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Line 78: Line 78:
 
PDQP/qpoly = ALL,
 
PDQP/qpoly = ALL,
 
arXiv:[https://arxiv.org/abs/1805.08577 1805.08577].
 
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 332: 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 501: 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 861: 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 901: 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 915: Line 935:
 
On fixed-parameter tractability and approximability of NP optimization problems,
 
On fixed-parameter tractability and approximability of NP optimization problems,
 
<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="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.
 +
 +
<span id="co22" style="color:maroon">[CO22]</span>
 +
Wojciech Czerwiński and Łukasz Orlikowski
 +
Reachability in vector addition systems is Ackermann-complete,
 +
<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="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="cs12" style="color:maroon">[CS12]</span>
 
<span id="cs12" style="color:maroon">[CS12]</span>
Line 920: Line 956:
 
The Complexity of the Separable Hamiltonian Problem,
 
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].
 
<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="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="ccg94" style="color:maroon">[CCG+94]</span>
 
<span id="ccg94" style="color:maroon">[CCG+94]</span>
Line 932: Line 962:
 
<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="cw22" style="color:maroon">[CW22]</span>
J.-Y. Cai, V. Chakaravarthy, L. Hemaspaandra, and M. Ogihara.
+
B. Chapman and R. Williams.
Some Karp-Lipton-type theorems based on S<sub>2</sub>,
+
Smaller ACC0 Circuits for Symmetric Functions,
University of Rochester Computer Science Technical Report TR-759, November 2001.
+
<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="cd05" style="color:maroon">[CD05]</span>
+
<span id="ctw13" style="color:maroon">[CTW13]</span>
X. Chen and X. Deng
+
A. Chattopadhyay, J. Tor&aacute;n, F. Wagner.
3-NASH is PPAD-Complete,
+
Graph Isomorphism is Not AC0-Reducible to Group Isomorphism
ECCC [http://eccc.uni-trier.de/eccc-reports/2005/TR05-134/ TR05-134].
+
<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>
 
<span id="che16" style="color:maroon">[Che16]</span>
Line 946: Line 976:
 
A Note on Oracle Separations for BQP,
 
A Note on Oracle Separations for BQP,
 
arXiv:[http://arxiv.org/abs/1605.00619 1605.00619].
 
arXiv:[http://arxiv.org/abs/1605.00619 1605.00619].
 +
 +
<span id="cd05" style="color:maroon">[CD05]</span>
 +
X. Chen and X. Deng
 +
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 951: 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 1,162: 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>
 
<span id="dam91" style="color:maroon">[Dam91]</span>
Line 1,174: 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 1,179: 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.
 +
[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 1,184: 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.
+
<i>Mathematical Foundations of Computer Science</i> (MFCS '76), pp. 255-259, Springer LNCS 45, 1976.
 +
[https://doi.org/10.1007/3-540-07854-1_183 doi:10.1007/3-540-07854-1_183]
  
 
<span id="dgpv20" style="color:maroon">[DGPV20]</span>
 
<span id="dgpv20" style="color:maroon">[DGPV20]</span>
 
P. Dixon, S. Gayen, A. Pavan, N. V. Vinodchandran.
 
P. Dixon, S. Gayen, A. Pavan, N. V. Vinodchandran.
 
Perfect Zero Knowledge: New Upperbounds and Relativized Separations,
 
Perfect Zero Knowledge: New Upperbounds and Relativized Separations,
<i>Theory of Cryptography Conference</i>, pp. 768, 2020.
+
<i>Theory of Cryptography Conference</i> (TCC '20), pp. 768, 2020.
 
ePrint:[https://eprint.iacr.org/2020/768]
 
ePrint:[https://eprint.iacr.org/2020/768]
 +
[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 1,196: Line 1,237:
 
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.
 +
[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 1,201: Line 1,243:
 
<i>Parameterized Complexity</i>,
 
<i>Parameterized Complexity</i>,
 
Springer-Verlag Monographs in Computer Science, 1999.
 
Springer-Verlag Monographs in Computer Science, 1999.
 +
[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 1,206: 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.
 
<i>Combinatorics, Complexity, and Logic</i>, Proceedings of DMTCS'96, Springer-Verlag, pp. 194-213, 1996.
 +
[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.
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.
 +
[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
The Complexity of Computing a Nash Equilibrium, online: [http://www.cs.berkeley.edu/~christos/papers/ppad.ps ppad.ps], sep. 2005.
+
The Complexity of Computing a Nash Equilibrium,
 +
<i>SIAM J. Comput.</i> 39(1):195-259, 2009.
 +
[https://doi.org/10.1137/070699652 doi:10.1137/070699652]
 +
Originally appeared in [https://doi.org/10.1145/1132516.1132527 STOC 2006], [https://people.csail.mit.edu/costis/simplified.pdf Author's website conference version].
  
 
<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,
arXiv:[http://arxiv.org/abs/quant-ph/0211140 quant-ph/0211140], 2002.
+
<i>SIAM J. Comput.</i> 36(3):763-778, 2006.
 +
[https://doi.org/10.1137/S009753970343141X doi:10.1137/S009753970343141X]
 +
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
+
C. Daskalakis and C. H. Papadimitriou.
The Complexity of Computing a Nash Equilibrium, online: [http://www.cs.berkeley.edu/~christos/papers/3players.pdf 3players.pdf], nov. 2005.
+
Three-player games are hard,
 +
ECCC [https://eccc.weizmann.ac.il//eccc-reports/2005/TR05-139/ TR05-139], 2005.
  
{{Reference-ECCC
+
<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
+
Separating NOF communication complexity classes RP and NP.
    |title=Separating NOF communication complexity classes RP and NP
+
ECCC [https://eccc.weizmann.ac.il/eccc-reports/2008/TR08-014/index.html TR08-014] and arXiv:[https://doi.org/10.48550/arXiv.0802.3860 0802.3860 [cs.CC]], 2008.
}}
 
  
 
<span id="dw86" style="color:maroon">[DW86]</span>
 
<span id="dw86" style="color:maroon">[DW86]</span>
Line 1,236: 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.
 
<i>Journal of Computer and System Sciences</i> 33:456-472, 1986.
 +
[https://doi.org/10.1016/0022-0000(86)90062-0 doi:10.1016/0022-0000(86)90062-0]
 +
Originally appeared in [https://doi.org/10.1007/BFb0022661 CAAP 1986]
  
 
===== E =====
 
===== E =====
Line 1,243: 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.
 +
[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.
 
On the Complexity of Nash Equilibria and Other Fixed Points.
 
On the Complexity of Nash Equilibria and Other Fixed Points.
Proceedings IEEE FOCS '07. SIAM J. Comput. 2010. doi:10.1137/080720826
+
<i>SIAM J. Comput.</i> 2010.  
 +
[https://doi.org/10.1137/080720826 doi:10.1137/080720826]
 +
Originally appeared in [https://doi.org/10.1109/FOCS.2007.39 FOCS 2007].
 +
[https://homepages.inf.ed.ac.uk/kousha/nash_focs07_full_j_spec_issue_sub.pdf Author's website version]
  
 
===== F =====
 
===== F =====
Line 1,265: Line 1,320:
 
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.
 +
[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].
 
ECCC [http://eccc.uni-trier.de/eccc-reports/2002/TR02-036/ TR02-036].
  
Line 1,274: Line 1,330:
 
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,
<i>Proceedings of Structure in Complexity Theory</i>, pages 120-131, 1993.
+
<i>Inform. Comput.</i> 182(2):95-136, 2003.
[http://people.cs.uchicago.edu/~fortnow/papers/obt.ps http://people.cs.uchicago.edu/~fortnow/papers/obt.ps].
+
[https://doi.org/10.1016/S0890-5401(03)00018-X doi:10.1016/S0890-5401(03)00018-X]
 +
Originally appeared in [https://doi.org/10.1109/SCT.1993.336534 <i>Structure in Complexity Theory</i>, pages 120-131, 1993].
 +
[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 1,281: Line 1,339:
 
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.
[http://people.cs.uchicago.edu/~fortnow/papers/gaps.ps http://people.cs.uchicago.edu/~fortnow/papers/gaps.ps].
+
[https://doi.org/10.1016/S0022-0000(05)80024-8 doi:10.1016/S0022-0000(05)80024-8].
 +
Originally appeared in [https://doi.org/10.1109/SCT.1991.160241 <i>Structure in Complexity Theory</i>, 1991].
 +
[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.
 
J. Flum and M. Grohe.
 
The parameterized complexity of counting problems,
 
The parameterized complexity of counting problems,
<i>Proceedings of IEEE FOCS'2002</i>, 2002.
+
<i>SIAM J. Comput.</i> 33(4):892-922, 2004. [https://doi.org/10.1137/S0097539703427203 doi:10.1137/S0097539703427203]
 +
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 1,454: Line 1,515:
 
<i>Quantum Information & Computation</i> 14(5 &amp; 6): 517-540, 2014.
 
<i>Quantum Information & Computation</i> 14(5 &amp; 6): 517-540, 2014.
 
Extended abstract appeared in <i>Proceeedings of the 39th International Colloquium on Automata, Languages, and Programming (ICALP)</i>, pages 387-398, Springer, 2012.
 
Extended abstract appeared in <i>Proceeedings of the 39th International Colloquium on Automata, Languages, and Programming (ICALP)</i>, pages 387-398, Springer, 2012.
 +
 +
<span id="gkm15" style="color:maroon">[GKM15]</span>
 +
V. Girard, M. Koucky, and P. McKenzie.
 +
Nonuniform catalytic space and the direct sum for space,
 +
ECCC [https://eccc.weizmann.ac.il/report/2015/138/]
 +
 +
<span id="gkr15" style="color:maroon">[GKR15]</span>
 +
S. Goldwasser, Y. Kalai, and G. Rothblum.
 +
Delegating Computation: Interactive Proofs for Muggles,
 +
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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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Oblivious Classes Revisited: Lower Bounds and Hierarchies,
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<span id="gm15" style="color:maroon">[GM15]</span>
Line 1,712: 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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M. Göös, A. Hollender, S. Jain, G. Maystre, W. Pires, R. Robere, R. Tao
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===== H =====
 
===== H =====
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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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R. Impagliazzo, V. Kabanets, and A. Wigderson.
 
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<span id="il90" style="color:maroon">[IL90]</span>
 
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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,
 
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Relational queries computable in in polynomial time.
 
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Line 2,025: Line 2,122:
 
Decision versus search problems in super-polynomial time,
 
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T. Ito
 
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Line 2,036: Line 2,135:
 
A multi-prover interactive proof for NEXP sound against entangled provers,
 
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Line 2,042: Line 2,142:
 
P=BPP if E requires exponential circuits: derandomizing the XOR lemma,
 
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===== J =====
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Approximate counting in bounded arithmetic,
 
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<span id="jer12" style="color:maroon">[Jeř12]</span>
 
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Line 2,059: Line 2,162:
 
Integer factoring and modular square roots,
 
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R. Jain, Z. Ji, S. Upadhyay, and J. Watrous.
 
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Learnability beyond AC<sup>0</sup>,
 
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How easy is local search?,
 
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On probabilistic time and space,
 
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===== K =====
 
===== K =====
Line 2,428: Line 2,546:
 
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<span id="ler22" style="color:maroon">[Ler22]</span>
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Unambiguous computations and locally definable acceptance types,
 
<i>Theoretical Computer Science</i> 194:137-161, 1998.
 
<i>Theoretical Computer Science</i> 194:137-161, 1998.
 +
[https://doi.org/10.1016/S0304-3975(97)00005-4 doi:10.1016/S0304-3975(97)00005-4]
  
 
<span id="nrr01" style="color:maroon">[NRR01]</span>
 
<span id="nrr01" style="color:maroon">[NRR01]</span>
 
M. Naor, O. Reingold, and A. Rosen.
 
M. Naor, O. Reingold, and A. Rosen.
 
Pseudo-random functions and factoring,
 
Pseudo-random functions and factoring,
 +
<i>SIAM J. Comput.</i>, 31(5):1383-1404, 2012.
 +
[https://doi.org/10.1137/S0097539701389257 doi:S0097539701389257]
 
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 2,695: 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].
+
[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 2,701: 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.
 +
[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.
+
<i>Chicago J. Theoret. Comput. Sci.</i>, Article 1, 1995.
ECCC [http://eccc.uni-trier.de/eccc-reports/1994/TR94-003/ TR94-003].
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[http://dx.doi.org/10.4086/cjtcs.1995.001 doi:10.4086/cjtcs.1995.001]
 +
Originally appeared in [https://doi.org/10.1145/225058.225101 STOC 1995],
 +
preprint ECCC [http://eccc.uni-trier.de/eccc-reports/1994/TR94-003/ TR94-003].
  
 
<span id="nw94" style="color:maroon">[NW94]</span>
 
<span id="nw94" style="color:maroon">[NW94]</span>
Line 2,712: 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.
 +
[https://doi.org/10.1016/S0022-0000(05)80043-1 doi:10.1016/S0022-0000(05)80043-1]
 +
[https://www.math.ias.edu/~avi/PUBLICATIONS/MYPAPERS/NOAM/HARDNESS/final.pdf Author's webpage version]
  
 
<span id="ny03" style="color:maroon">[NY03]</span>
 
<span id="ny03" style="color:maroon">[NY03]</span>
 
H. Nishimura and T. Yamakami.
 
H. Nishimura and T. Yamakami.
 
Polynomial time quantum computation with advice,
 
Polynomial time quantum computation with advice,
 +
<i>Inform. Proc. Lett.</i>, 90(4):195-204, 2004.
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[https://doi.org/10.1016/j.ipl.2004.02.005 doi:10.1016/j.ipl.2004.02.005]
 
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 2,722: Line 2,925:
 
H. Nishimura and T. Yamakami.
 
H. Nishimura and T. Yamakami.
 
An algorithmic argument for query complexity lower bounds of advised quantum computation,
 
An algorithmic argument for query complexity lower bounds of advised quantum computation,
arXiv:[http://arxiv.org/abs/quant-ph/0312003 quant-ph/0312003], 2003.
+
<i>MFCS</i>, pp. 827–838, 2004.
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[https://doi.org/10.1007/978-3-540-28629-5_65 doi:10.1007/978-3-540-28629-5_65]
 +
arXiv:[http://arxiv.org/abs/quant-ph/0312003 quant-ph/0312003]
  
 
===== O =====
 
===== O =====
Line 2,730: 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.
 +
[https://doi.org/10.1142/S0129054194000177 doi:10.1142/S0129054194000177]
  
 
<span id="oh93" style="color:maroon">[OH93]</span>
 
<span id="oh93" style="color:maroon">[OH93]</span>
Line 2,735: Line 2,941:
 
A complexity theory for feasible closure properties,
 
A complexity theory for feasible closure properties,
 
<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.
 +
[https://doi.org/10.1016/0022-0000(93)90006-I doi:10.1016/0022-0000(93)90006-I]
  
 
<span id="oka96" style="color:maroon">[Oka96]</span>
 
<span id="oka96" style="color:maroon">[Oka96]</span>
 
T. Okamoto.
 
T. Okamoto.
 
On relationships between statistical zero-knowledge proofs,
 
On relationships between statistical zero-knowledge proofs,
<i>Proceedings of ACM STOC'96</i>, 1996.
+
<i>Journal of Computer and System Sciences</i> 60(1):47-108, 2000.
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[https://doi.org/10.1006/jcss.1999.1664 doi:10.1006/jcss.1999.1664]
 +
Originally appeared in [https://doi.org/10.1145/237814.238016 STOC 1996].
  
 
<span id="oks94" style="color:maroon">[OKS+94]</span>
 
<span id="oks94" style="color:maroon">[OKS+94]</span>
Line 2,745: 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.
 +
[https://doi.org/10.1145/174644.174648 doi:10.1145/174644.174648]
  
 
<span id="ost91" style="color:maroon">[Ost91]</span>
 
<span id="ost91" style="color:maroon">[Ost91]</span>
Line 2,750: 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.
 
<i>Proceedings of IEEE Complexity'91</i>, pp. 51-59, 1991.
 +
[https://doi.org/10.1109/SCT.1991.160253 doi:10.1109/SCT.1991.160253]
 +
[https://web.cs.ucla.edu/~rafail/PUBLIC/06.pdf Author's website version]
  
 
<span id="ow93" style="color:maroon">[OW93]</span>
 
<span id="ow93" style="color:maroon">[OW93]</span>
Line 2,755: Line 2,967:
 
One-way functions are essential for non-trivial zero-knowledge,
 
One-way functions are essential for non-trivial zero-knowledge,
 
<i>Proceedings of the 2nd Israel Symposium on Theory of Computing and Systems (ISTCS-93)</i>, 1993.
 
<i>Proceedings of the 2nd Israel Symposium on Theory of Computing and Systems (ISTCS-93)</i>, 1993.
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[https://doi.org/10.1109/ISTCS.1993.253489 doi:10.1109/ISTCS.1993.253489]
 +
[https://web.cs.ucla.edu/~rafail/PUBLIC/14.pdf Author's website version]
  
 
===== P =====
 
===== P =====
Line 2,761: Line 2,975:
 
C. H. Papadimitriou.
 
C. H. Papadimitriou.
 
Games against nature,
 
Games against nature,
<i>Proceedings of IEEE FOCS'83</i>, pp. 446-450, 1983.
+
<i>J. Comput. Syst. Sci.</i> 31(2):288-301, 1985.
 +
[https://doi.org/10.1016/0022-0000(85)90045-5 doi:10.1016/0022-0000(85)90045-5]
 +
Originally appeared in [https://doi.org/10.1109/SFCS.1983.20 <i>Proceedings of IEEE FOCS'83</i>], pp. 446-450, 1983.
  
 
<span id="pap90" style="color:maroon">[Pap90]</span>
 
<span id="pap90" style="color:maroon">[Pap90]</span>
Line 2,767: 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.
 +
[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 2,777: 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.
 
<i>Journal of Computer and System Sciences</i> 48(3):498-532, 1994.
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[https://doi.org/10.1016/S0022-0000(05)80063-7 doi:10.1016/S0022-0000(05)80063-7]
  
 
{{Reference
 
{{Reference
Line 2,784: Line 3,002:
 
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     |journal=Proceedings of the 22nd Annual IEEE Conference on Computational Complexity
 
     |srcdetail=347-357, 2007
 
     |srcdetail=347-357, 2007
 +
    |doi=10.1109/CCC.2007.20
 
}}
 
}}
  
Line 2,790: 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.
 
<i>Bulletin of the American Mathematical Society</i> 50:284-316, 1944.
 +
[https://doi.org/10.1090/S0002-9904-1944-08111-1 doi:10.1090/S0002-9904-1944-08111-1]
  
 
<span id="pp00" style="color:maroon">[PP00]</span>
 
<span id="pp00" style="color:maroon">[PP00]</span>
Line 2,795: Line 3,015:
 
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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[https://doi.org/10.1103/PhysRevLett.85.3049 doi:10.1103/PhysRevLett.85.3049]
 
arXiv:[http://arxiv.org/abs/quant-ph/0001066 quant-ph/0001066].
 
arXiv:[http://arxiv.org/abs/quant-ph/0001066 quant-ph/0001066].
  
Line 2,801: Line 3,022:
 
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.
 +
[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 2,806: Line 3,028:
 
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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[https://doi.org/10.1109/CCC.2014.37 doi:10.1109/CCC.2014.37]
  
 
<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,
<i>STOC '74: Proceedings of the sixth annual ACM Symposium on Theory of Computing</i>, 80-83, 1974.
+
[https://doi.org/10.1137/0204027 doi:10.1137/0204027]
 +
Originally appeared in [https://doi.org/10.1145/800119.803887 <i>STOC '74: Proceedings of the sixth annual ACM Symposium on Theory of Computing</i>], 80-83, 1974.
  
 
<span id="pra75" style="color:maroon">[Pra75]</span>
 
<span id="pra75" style="color:maroon">[Pra75]</span>
Line 2,816: 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.
 +
[https://doi.org/10.1137/0204018 doi:10.1137/0204018]
  
 
<span id="ps86" style="color:maroon">[PS86]</span>
 
<span id="ps86" style="color:maroon">[PS86]</span>
Line 2,821: Line 3,046:
 
Probabilistic communication complexity,
 
Probabilistic communication complexity,
 
<i>Journal of Computer and System Sciences</i>, 33(1):106-123, 1986.
 
<i>Journal of Computer and System Sciences</i>, 33(1):106-123, 1986.
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[https://doi.org/10.1016/0022-0000(86)90046-2 doi:10.1016/0022-0000(86)90046-2]
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Originally appeared in [https://doi.org/10.1109/SFCS.1984.715908 FOCS '84]
  
 
<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.
[http://ftp.eccc.uni-trier.de/eccc-reports/2004/TR04-053/ TR04-053].
+
Polylogarithmic Round Arthur-Merlin Games and Random-Self-Reducibility
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[https://eccc.weizmann.ac.il/report/2004/053/ ECCC TR04-053].
  
 
<span id="py84" style="color:maroon">[PY84]</span>
 
<span id="py84" style="color:maroon">[PY84]</span>
Line 2,830: Line 3,058:
 
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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[https://doi.org/10.1016/0022-0000(84)90068-0 doi:10.1016/0022-0000(84)90068-0]
  
 
<span id="py88" style="color:maroon">[PY88]</span>
 
<span id="py88" style="color:maroon">[PY88]</span>
 
C. H. Papadimitriou and M. Yannakakis.
 
C. H. Papadimitriou and M. Yannakakis.
 
Optimization, approximation, and complexity classes,
 
Optimization, approximation, and complexity classes,
<i>Proceedings of ACM STOC'88</i>, pp. 229-234, 1988.
+
<i>J. Comput. Syst. Sci.</i> 43(3): 425-440 (1991)
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[https://doi.org/10.1016/0022-0000(91)90023-X doi:10.1016/0022-0000(91)90023-X]
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Originally appeared in [https://doi.org/10.1145/62212.62233 <i>Proceedings of ACM STOC'88</i>], pp. 229-234, 1988.
  
 
<span id="py96" style="color:maroon">[PY96]</span>
 
<span id="py96" style="color:maroon">[PY96]</span>
Line 2,840: Line 3,071:
 
On limited nondeterminism and the complexity of the VC dimension,
 
On limited nondeterminism and the complexity of the VC dimension,
 
<i>Journal of Computer and System Sciences</i> 53(2):161-170, 1996.
 
<i>Journal of Computer and System Sciences</i> 53(2):161-170, 1996.
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[https://doi.org/10.1006/jcss.1996.0058 doi:10.1006/jcss.1996.0058]
  
 
<span id="pz83" style="color:maroon">[PZ83]</span>
 
<span id="pz83" style="color:maroon">[PZ83]</span>
Line 2,845: Line 3,077:
 
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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[https://doi.org/10.1007/BFb0009651 doi:10.1007/BFb0009651]
  
 
===== R =====
 
===== R =====
Line 2,942: Line 3,175:
 
Polylogarithmic-time deterministic network decomposition and distributed derandomization,
 
Polylogarithmic-time deterministic network decomposition and distributed derandomization,
 
<i>Symposium on Theory of Computing (STOC)</i>, 2020.
 
<i>Symposium on Theory of Computing (STOC)</i>, 2020.
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<span id="rt92" style="color:maroon">[RT92]</span>
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J. Reif and S. Tate.
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On Threshold Circuits and Polynomial Computation,
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<i>SIAM J. Comput.</i>, 21(5) 896-908, 1992.
  
 
<span id="rt18" style="color:maroon">[RT18]</span>
 
<span id="rt18" style="color:maroon">[RT18]</span>
Line 3,062: Line 3,300:
 
Separating nondeterministic time complexity classes,
 
Separating nondeterministic time complexity classes,
 
<i>Journal of the ACM</i> 25:146-167, 1978.
 
<i>Journal of the ACM</i> 25:146-167, 1978.
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<span id="sha10" style="color:maroon">[Sha10]</span>
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M. Schaefer.
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Complexity of some geometric and topological problems,
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<i>Graph Drawing</i>, LNCS 5849, Springer-Verlag, 334–344, 2010.
  
 
<span id="sha90" style="color:maroon">[Sha90]</span>
 
<span id="sha90" style="color:maroon">[Sha90]</span>
Line 3,211: Line 3,454:
  
 
===== T =====
 
===== T =====
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 +
<span id="tak12" style="color:maroon">[Tak12]</span>
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Y. Takahashi. and T. Seiichiro
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Collapse of the hierarchy of constant-depth exact quantum circuits
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<i>Computational complexity</i>, 25.4:849-881, 2016.
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[http://dx.doi.org/10.1109/CCC.2013.25 doi:10.1109/CCC.2013.25]
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<span id="tan07" style="color:maroon">[Tan07]</span>
 
<span id="tan07" style="color:maroon">[Tan07]</span>
Line 3,216: Line 3,466:
 
Logspace Optimization Problems and Their Approximability Properties,
 
Logspace Optimization Problems and Their Approximability Properties,
 
<i>Theory of Computing Systems</i>, 41:327-350, 2007.
 
<i>Theory of Computing Systems</i>, 41:327-350, 2007.
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[https://doi.org/10.1007/s00224-007-2011-1 doi:10.1007/s00224-007-2011-1]
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ECCC [https://eccc.weizmann.ac.il/report/2003/077/ TR03-077]
  
 
<span id="tar88" style="color:maroon">[Tar88]</span>
 
<span id="tar88" style="color:maroon">[Tar88]</span>
Line 3,221: Line 3,473:
 
The gap between monotone and non-monotone circuit complexity is exponential,
 
The gap between monotone and non-monotone circuit complexity is exponential,
 
<i>Combinatorica</i>, 8:141-142, 1988.
 
<i>Combinatorica</i>, 8:141-142, 1988.
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[https://doi.org/10.1007/BF02122563 doi:10.1007/BF02122563]
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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 3,226: 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.
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<span id="tha98" style="color:maroon">[Tha98]</span>
 
<span id="tha98" style="color:maroon">[Tha98]</span>
Line 3,235: 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]
  
 
<span id="tod91" style="color:maroon">[Tod91]</span>
 
<span id="tod91" style="color:maroon">[Tod91]</span>
Line 3,248: 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.
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Ph.D Thesis, 1988.
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[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 3,258: 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 3,263: 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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<span id="tur36" style="color:maroon">[Tur36]</span>
 
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Line 3,268: 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.
 
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<span id="tv02" style="color:maroon">[TV02]</span>
 
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===== U =====
 
===== U =====
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C. Umans.
 
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The minimum equivalent DNF problem and shortest implicants,
 
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S. Vadhan.
 
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Three problems in computer science,
 
Three problems in computer science,
 
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Relative complexity of checking and evaluating,
 
Relative complexity of checking and evaluating,
 
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<i>Information Processing Letters</i>, 5:20-23, 1976.
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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,
 
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Complexity of relational query languages,
 
Complexity of relational query languages,
 
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Properties that characterize LOGCFL,
 
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<span id="ver92" style="color:maroon">[Ver92]</span>
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Line 3,327: Line 3,601:
 
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Counting complexity of solvable group problems,
 
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NP is as easy as detecting unique solutions,
 
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ECCC [http://eccc.hpi-web.de/eccc-reports/1995/TR95-039/ TR95-039].
 
ECCC [http://eccc.hpi-web.de/eccc-reports/1995/TR95-039/ TR95-039].
  
Line 3,502: Line 3,803:
 
Expressing combinatorial optimization problems by linear programs,
 
Expressing combinatorial optimization problems by linear programs,
 
<i>Journal of Computer and System Sciences</i>, 43(3):441-466, 1991.
 
<i>Journal of Computer and System Sciences</i>, 43(3):441-466, 1991.
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[https://doi.org/10.1016/0022-0000(91)90024-Y doi:10.1016/0022-0000(91)90024-Y]
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<span id="yao85" style="color:maroon">[Yao85]</span>
 
<span id="yao85" style="color:maroon">[Yao85]</span>
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Separating the polynomial hierarchy by oracles,
 
Separating the polynomial hierarchy by oracles,
 
<i>Proceedings of IEEE FOCS'85</i>, pp. 1-10, 1985.
 
<i>Proceedings of IEEE FOCS'85</i>, pp. 1-10, 1985.
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[https://doi.org/10.1109/SFCS.1985.49 doi:10.1109/SFCS.1985.49]
  
 
<span id="yao89" style="color:maroon">[Yao89]</span>
 
<span id="yao89" style="color:maroon">[Yao89]</span>
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Circuits and local computation,
 
Circuits and local computation,
 
<i>Proceedings of ACM STOC'89</i>, pp. 186-196, 1989.
 
<i>Proceedings of ACM STOC'89</i>, pp. 186-196, 1989.
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[https://doi.org/10.1145/73007.73025 doi:10.1145/73007.73025]
  
 
<span id="yao90" style="color:maroon">[Yao90]</span>
 
<span id="yao90" style="color:maroon">[Yao90]</span>
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On ACC and threshold circuits,
 
On ACC and threshold circuits,
 
<i>Proceedings of IEEE FOCS'90</i>, pp. 619-627, 1990.
 
<i>Proceedings of IEEE FOCS'90</i>, pp. 619-627, 1990.
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[https://doi.org/10.1109/FSCS.1990.89583 doi:10.1109/FSCS.1990.89583]
  
 
<span id="yao90b" style="color:maroon">[Yao90b]</span>
 
<span id="yao90b" style="color:maroon">[Yao90b]</span>
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Coherent functions and program checkers,
 
Coherent functions and program checkers,
 
<i>Proceedings of ACM STOC'90</i>, 1990.
 
<i>Proceedings of ACM STOC'90</i>, 1990.
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[https://doi.org/10.1145/100216.100226 doi:10.1145/100216.100226]
  
 
<span id="yao93" style="color:maroon">[Yao93]</span>
 
<span id="yao93" style="color:maroon">[Yao93]</span>
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Quantum circuit complexity,
 
Quantum circuit complexity,
 
<i>Proceedings of IEEE FOCS'93</i>, pp. 352-361, 1993.
 
<i>Proceedings of IEEE FOCS'93</i>, pp. 352-361, 1993.
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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>

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

[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.

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[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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[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.

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[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

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

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