The Complexity Zoo
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[1] Hans Heller,et al. Relativized polynomial hierarchies extending two levels , 1984, Mathematical systems theory.
[2] Larry J. Stockmeyer,et al. The Polynomial-Time Hierarchy , 1976, Theor. Comput. Sci..
[3] Michael I. Dekhtyar,et al. On the Relativization of Deterministic and Nondeterministic Complexity Classes , 1976, MFCS.
[4] Klaus W. Wagner,et al. Bounded Query Classes , 1990, SIAM J. Comput..
[5] Ketan Mulmuley,et al. Geometric Complexity Theory I: An Approach to the P vs. NP and Related Problems , 2002, SIAM J. Comput..
[6] Cristopher Moore. Quantum Circuits: Fanout, Parity, and Counting , 1999, Electron. Colloquium Comput. Complex..
[7] Jacobo Torán,et al. On the hardness of graph isomorphism , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.
[8] Jörg Rothe,et al. Exact analysis of Dodgson elections: Lewis Carroll's 1876 voting system is complete for parallel access to NP , 1997, JACM.
[9] Burkhard Monien. On a Subclass of Pseudopolynomial Problems , 1980, MFCS.
[10] R. Cleve,et al. Consequences and limits of nonlocal strategies , 2004 .
[11] Lide Li. On the Counting Functions , 1993 .
[12] Christos H. Papadimitriou,et al. Games against nature , 1983, 24th Annual Symposium on Foundations of Computer Science (sfcs 1983).
[13] Christos H. Papadimitriou,et al. Reversible Simulation of Space-Bounded Computations , 1995, Theor. Comput. Sci..
[14] Pierre McKenzie,et al. On the complexity of some problems on groups input as multiplication tables , 2000, Proceedings 15th Annual IEEE Conference on Computational Complexity.
[15] Juris Hartmanis. Collapsing Hierarchies , 1993, Current Trends in Theoretical Computer Science.
[16] Joshua Buresh-Oppenheim,et al. Relativized NP search problems and propositional proof systems , 2004, Proceedings. 19th IEEE Annual Conference on Computational Complexity, 2004..
[17] Stephen A. Cook,et al. A Taxonomy of Problems with Fast Parallel Algorithms , 1985, Inf. Control..
[18] Larry Rudolph,et al. A Complexity Theory of Efficient Parallel Algorithms , 1990, Theor. Comput. Sci..
[19] Osamu Watanabe,et al. A Comparison of Polynomial Time Completeness Notions , 1987, Theor. Comput. Sci..
[20] Mihalis Yannakakis,et al. The complexity of facets (and some facets of complexity) , 1982, STOC '82.
[21] Jin-Yi Cai,et al. On the Power of Parity Polynomial Time , 1989, STACS.
[22] Christian Glaßer,et al. A Protocol for Serializing Unique Strategies , 2004, MFCS.
[23] Wim van Dam,et al. Quantum Algorithms for Hidden Coset ProblemsWim , 2001 .
[24] Dexter Kozen. On the Myhill-Nerode Theorem for Trees , 1992 .
[25] Michael Sipser,et al. On Relativization and the Existence of Complete Sets , 1982, ICALP.
[26] Gerd Wechsung,et al. On the Power of Probabilistic Polynomial Time: (extended abstract) , 1989 .
[27] Vaughan R. Pratt,et al. Every Prime has a Succinct Certificate , 1975, SIAM J. Comput..
[28] James Aspnes,et al. The expressive power of voting polynomials , 1994, Comb..
[29] John Watrous,et al. Space-Bounded Quantum Complexity , 1999, J. Comput. Syst. Sci..
[30] László Lovász,et al. Approximating clique is almost NP-complete , 1991, [1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science.
[31] Marek Karpinski,et al. On the Power of Randomized Ordered Branching Programs , 1998, Electron. Colloquium Comput. Complex..
[32] Volker Strassen,et al. A Fast Monte-Carlo Test for Primality , 1977, SIAM J. Comput..
[33] Peter Bürgisser,et al. Completeness and Reduction in Algebraic Complexity Theory , 2000, Algorithms and computation in mathematics.
[34] E. Kushilevitz,et al. Cryptography in NC/sup 0/ , 2004, 45th Annual IEEE Symposium on Foundations of Computer Science.
[35] Andrew Chiu,et al. Division in logspace-uniform NC1 , 2001, RAIRO Theor. Informatics Appl..
[36] Kenneth W. Regan. Understanding the Mulmuley-Sohoni Approach to P vs. NP , 2002, Bull. EATCS.
[37] Edith Hemaspaandra,et al. What's up with downward collapse: using the easy-hard technique to link Boolean and polynomial hierarchy collapses , 1998, SIGA.
[38] Yehoshua Bar-Hillel,et al. The Intrinsic Computational Difficulty of Functions , 1969 .
[39] J. Edmonds. Paths, Trees, and Flowers , 1965, Canadian Journal of Mathematics.
[40] Stephen A. Cook,et al. Deterministic CFL's are accepted simultaneously in polynomial time and log squared space , 1979, STOC.
[41] Uriel Feige,et al. On Limited versus Polynomial Nondeterminism , 1997, Chic. J. Theor. Comput. Sci..
[42] Marek Karpinski,et al. On real Turing machines that toss coins , 1995, STOC '95.
[43] Alan L. Selman,et al. P-selective sets, tally languages, and the behavior of polynomial time reducibilities onNP , 1979, Mathematical systems theory.
[44] Christian Glaßer,et al. Error-bounded probabilistic computations between MA and AM , 2003, J. Comput. Syst. Sci..
[45] Oded Goldreich,et al. Comparing entropies in statistical zero knowledge with applications to the structure of SZK , 1999, Proceedings. Fourteenth Annual IEEE Conference on Computational Complexity (Formerly: Structure in Complexity Theory Conference) (Cat.No.99CB36317).
[46] Michael Ben-Or,et al. Trading Help for Interaction in Statistical Zero-Knowledge Proofs , 2003, Journal of Cryptology.
[47] Jin-Yi Cai,et al. With probability one, a random oracle separates PSPACE from the polynomial-time hierarchy , 1986, STOC '86.
[48] Liming Cai,et al. On Fixed-Parameter Tractability and Approximability of NP Optimization Problems , 1997, J. Comput. Syst. Sci..
[49] Juris Hartmanis,et al. Some Observations about Relativization of Space Bounded Computations , 1988, Current Trends in Theoretical Computer Science.
[50] Lane A. Hemaspaandra,et al. A Complexity Theory for Feasible Closure Properties , 1991, J. Comput. Syst. Sci..
[51] Dorit Aharonov,et al. A lattice problem in quantum NP , 2003, 44th Annual IEEE Symposium on Foundations of Computer Science, 2003. Proceedings..
[52] Ulrich Hertrampf,et al. Relations Among Mod-Classes , 1990, Theor. Comput. Sci..
[53] Marek Karpinski,et al. Simulating Threshold Circuits by Majority Circuits , 1998, SIAM J. Comput..
[54] Lance Fortnow,et al. Complexity limitations on quantum computation , 1999, J. Comput. Syst. Sci..
[55] Hava T. Siegelmann,et al. A Theory of Complexity for Continuous Time Systems , 2002, J. Complex..
[56] Stathis Zachos,et al. Probabilistic Quantifiers and Games , 1988, J. Comput. Syst. Sci..
[57] Hirotada Kobayashi. Non-Interactive Quantum Statistical and Perfect Zero-Knowledge Hirotada Kobayashi , 2022 .
[58] Ronald V. Book. On Collapsing the Polynomial-Time Hierarchy , 1994, Inf. Process. Lett..
[59] M. Sipser,et al. Monotone complexity , 1992 .
[60] Daniel A. Spielman,et al. PP is closed under intersection , 1991, STOC '91.
[61] Carme Àlvarez,et al. A very hard log space counting class , 1990, Proceedings Fifth Annual Structure in Complexity Theory Conference.
[62] Ming Li,et al. An Introduction to Kolmogorov Complexity and Its Applications , 2019, Texts in Computer Science.
[63] Juris Hartmanis,et al. The Boolean Hierarchy I: Structural Properties , 1988, SIAM J. Comput..
[64] Shafi Goldwasser,et al. Private coins versus public coins in interactive proof systems , 1986, STOC '86.
[65] Masaki Nakanishi,et al. Ordered Quantum Branching Programs Are More Powerful than Ordered Probabilistic Branching Programs under a Bounded-Width Restriction , 2000, COCOON.
[66] Omer Reingold,et al. Undirected ST-connectivity in log-space , 2005, STOC '05.
[67] Joan Feigenbaum,et al. Probabilistically checkable debate systems and approximation algorithms for PSPACE-hard functions , 1993, STOC.
[68] Gary L. Miller. Riemann's Hypothesis and Tests for Primality , 1976, J. Comput. Syst. Sci..
[69] Sanjay Gupta,et al. Closure Properties and Witness Reduction , 1995, J. Comput. Syst. Sci..
[70] Ivan Hal Sudborough,et al. On the Tape Complexity of Deterministic Context-Free Languages , 1978, JACM.
[71] Manuel Blum,et al. Designing programs that check their work , 1989, STOC '89.
[72] Carsten Lund,et al. Proof verification and the hardness of approximation problems , 1998, JACM.
[73] C. Papadimitriou,et al. Two remarks on the power of counting , 1983 .
[74] Andreas Blass,et al. On the Unique Satisfiability Problem , 1982, Inf. Control..
[75] G. Vidal. Efficient classical simulation of slightly entangled quantum computations. , 2003, Physical review letters.
[76] Jacobo Torán,et al. On counting and approximation , 1989, Acta Informatica.
[77] Christos H. Papadimitriou,et al. On graph-theoretic lemmata and complexity classes , 1990, Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science.
[78] N. V. Vinodchandran,et al. Polylogarithmic-round interactive proofs for coNP collapse the exponential hierarchy , 2004, Proceedings. 19th IEEE Annual Conference on Computational Complexity, 2004..
[79] J. Hartmanis,et al. On the Computational Complexity of Algorithms , 1965 .
[80] Stephen A. Fenner. PP-Lowness and a Simple Definition of AWPP , 2002, Theory of Computing Systems.
[81] Thomas Schwentick,et al. The Power of the Middle Bit of a #P Function , 1995, J. Comput. Syst. Sci..
[82] Eric Allender,et al. The complexity of matrix rank and feasible systems of linear equations , 1999, computational complexity.
[83] Silvio Micali,et al. The knowledge complexity of interactive proof-systems , 1985, STOC '85.
[84] Ronald Fagin. Generalized first-order spectra, and polynomial. time recognizable sets , 1974 .
[85] Christos H. Papadimitriou,et al. On Total Functions, Existence Theorems and Computational Complexity , 1991, Theor. Comput. Sci..
[86] A. Church. The calculi of lambda-conversion , 1941 .
[87] Rajeev Motwani,et al. On syntactic versus computational views of approximability , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.
[88] Stathis Zachos,et al. Does co-NP Have Short Interactive Proofs? , 1987, Inf. Process. Lett..
[89] Juris Hartmanis. Feasible computations and provable complexity properties , 1989, CBMS-NSF regional conference series in applied mathematics.
[90] Jacobo Torán. Counting the Number of Solutions , 1990, MFCS.
[91] Osamu Watanabe,et al. New Collapse Consequences of NP Having Small Circuits , 1995, ICALP.
[92] Ker-I Ko,et al. On Some Natural Complete Operators , 1985, Theor. Comput. Sci..
[93] Lane A. Hemaspaandra,et al. Threshold Computation and Cryptographic Security , 1993, ISAAC.
[94] David Zuckerman. Simulating BPP using a general weak random source , 2005, Algorithmica.
[95] Stephen A. Cook,et al. Characterizations of Pushdown Machines in Terms of Time-Bounded Computers , 1971, J. ACM.
[96] Allan Borodin,et al. Parallel Computation for Well-Endowed Rings and Space-Bounded Probabilistic Machines , 1984, Inf. Control..
[97] Mihir Bellare,et al. Knowledge on the average—perfect, statistical and logarithmic , 1995, STOC '95.
[98] Nikolai K. Vereshchagin,et al. Banishing Robust Turing Completeness , 1992, LFCS.
[99] M. B. Plenio,et al. Efficient factorization with a single pure qubit , 2000 .
[100] Andrew Chi-Chih Yao,et al. Quantum Circuit Complexity , 1993, FOCS.
[101] Leonard M. Adleman,et al. Quantum Computability , 1997, SIAM J. Comput..
[102] Heribert Vollmer,et al. A note on closure properties of logspace MOD classes , 2000, Information Processing Letters.
[103] David S. Johnson,et al. Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .
[104] Leonid A. Levin,et al. No better ways to generate hard NP instances than picking uniformly at random , 1990, Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science.
[105] John Gill,et al. Counting Classes: Thresholds, Parity, Mods, and Fewness , 1990, Theoretical Computer Science.
[106] Mikhail N. Vyalyi,et al. Classical and Quantum Computation , 2002, Graduate studies in mathematics.
[107] Mihalis Yannakakis,et al. Optimization, approximation, and complexity classes , 1991, STOC '88.
[108] Samuel R. Buss,et al. On Truth-Table Reducibility to SAT , 1991, Inf. Comput..
[109] Harry Buhrman,et al. Quantum bounded query complexity , 1999, Proceedings. Fourteenth Annual IEEE Conference on Computational Complexity (Formerly: Structure in Complexity Theory Conference) (Cat.No.99CB36317).
[110] Howard J. Karloff. A las vegas rnc algorithm for maximum matching , 1986, Comb..
[111] Adi Shamir,et al. IP = PSPACE , 1992, JACM.
[112] Leslie G. Valiant,et al. Three problems in computer science , 2003, JACM.
[113] Ulrich Hertrampf. Acceptance by transformation monoids (with an application to local self reductions) , 1997, Proceedings of Computational Complexity. Twelfth Annual IEEE Conference.
[114] Yuri Gurevich. Complete and incomplete randomized NP problems , 1987, 28th Annual Symposium on Foundations of Computer Science (sfcs 1987).
[115] Vikraman Arvind,et al. If NP has Polynomial-Size Circuits, then MA=AM , 1995, Theor. Comput. Sci..
[116] H. Venkateswaran. Properties that Characterize LOGCFL , 1991, J. Comput. Syst. Sci..
[117] Peter Bro Miltersen,et al. Derandomizing Arthur–Merlin Games using Hitting Sets , 1999, 40th Annual Symposium on Foundations of Computer Science (Cat. No.99CB37039).
[118] Michael Sipser,et al. Monotone separation of logspace from NC/sup 1/ , 1991, [1991] Proceedings of the Sixth Annual Structure in Complexity Theory Conference.
[119] Steven Homer,et al. Oracles for structural properties: the isomorphism problem and public-key cryptography , 1989, [1989] Proceedings. Structure in Complexity Theory Fourth Annual Conference.
[120] Harumichi Nishimura,et al. Polynomial time quantum computation with advice , 2003, Inf. Process. Lett..
[121] Stuart A. Kurtz,et al. An oracle builder's toolkit , 2003, Inf. Comput..
[122] Stuart A. Kurtz. On the Random Oracle Hypothesis , 1983, Inf. Control..
[123] Michael J. Fischer,et al. Separating Nondeterministic Time Complexity Classes , 1978, JACM.
[124] Lance Fortnow,et al. NP might not be as easy as detecting unique solutions , 1997, STOC '98.
[125] Andris Ambainis,et al. On Counting AC0 Circuits with Negative Constants , 1998, MFCS.
[126] Jin-Yi Cai,et al. Hardness and hierarchy theorems for probabilistic quasi-polynomial time , 1999, STOC '99.
[127] Oded Goldreich,et al. On the theory of average case complexity , 1989, STOC '89.
[128] Leonid A. Levin,et al. Average Case Complete Problems , 1986, SIAM J. Comput..
[129] Alan L. Selman,et al. Complexity Measures for Public-Key Cryptosystems , 1988, SIAM J. Comput..
[130] Boaz Barak,et al. A Probabilistic-Time Hierarchy Theorem for "Slightly Non-uniform" Algorithms , 2002, RANDOM.
[131] Leslie G. Valiant,et al. Cryptographic Limitations on Learning Boolean Formulae and Finite Automata , 1993, Machine Learning: From Theory to Applications.
[132] Carsten Damm,et al. Problems Complete for +L , 1990, IMYCS.
[133] Mayur Thakur,et al. One-way permutations and self-witnessing languages , 2002, J. Comput. Syst. Sci..
[134] Michael R. Fellows,et al. Threshold Dominating Sets and an Improved Characterization of W[2] , 1998, Theor. Comput. Sci..
[135] J. Hartmanis,et al. Computation Times of NP Sets of Different Densities , 1984, Theor. Comput. Sci..
[136] Moni Naor,et al. Number-theoretic constructions of efficient pseudo-random functions , 1997, Proceedings 38th Annual Symposium on Foundations of Computer Science.
[137] Jack H. Lutz,et al. The Complexity and Distribution of Hard Problems , 1995, SIAM J. Comput..
[138] Stephen A. Cook,et al. The complexity of theorem-proving procedures , 1971, STOC.
[139] Franz-Josef Brandenburg. On one-way auxiliary pushdown automata , 1977, Theoretical Computer Science.
[140] Michael Sipser,et al. The history and status of the P versus NP question , 1992, STOC '92.
[141] Mihalis Yannakakis,et al. On limited nondeterminism and the complexity of the V-C dimension , 1993, [1993] Proceedings of the Eigth Annual Structure in Complexity Theory Conference.
[142] Noam Nisan,et al. Hardness vs Randomness , 1994, J. Comput. Syst. Sci..
[143] A. Yao. Separating the polynomial-time hierarchy by oracles , 1985 .
[144] Yaoyun Shi. Quantum and classical tradeoffs , 2005, Theor. Comput. Sci..
[145] Thierry Paul,et al. Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.
[146] Jacobo Torán,et al. Complexity classes defined by counting quantifiers , 1991, JACM.
[147] Eric Allender,et al. Counting Hierarchies: Polynomial Time and Constant Depth Circuits , 1993, Current Trends in Theoretical Computer Science.
[148] Russell Impagliazzo,et al. Derandomizing Polynomial Identity Tests Means Proving Circuit Lower Bounds , 2003, STOC '03.
[149] Russell Impagliazzo,et al. Which Problems Have Strongly Exponential Complexity? , 2001, J. Comput. Syst. Sci..
[150] Neil Immerman,et al. Complete problems for dynamic complexity classes , 2002, Proceedings 17th Annual IEEE Symposium on Logic in Computer Science.
[151] Avi Wigderson,et al. An O(log(n)4/3) space algorithm for (s, t) connectivity in undirected graphs , 2000, JACM.
[152] Oded Goldreich,et al. Quantifying knowledge complexity , 1991, [1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science.
[153] Luca Trevisan,et al. On Approximation Scheme Preserving Reducibility and Its Applications , 2000, Theory Comput. Syst..
[154] Rajeev Motwani,et al. Randomized Algorithms , 1995, SIGA.
[155] Stephen A. Fenner. Quantum NP is Hard for PH , 1998 .
[156] Ran Canetti. More on BPP and the Polynomial-Time Hierarchy , 1996, Inf. Process. Lett..
[157] L. Hemachandra. The strong exponential hierarchy collapses , 1987, STOC 1987.
[158] David A. Mix Barrington,et al. Bounded-Width Polynomial-Size Branching Programs Recognize Exactly Those Languages in NC¹ , 1989, J. Comput. Syst. Sci..
[159] Lenore Blum,et al. Complexity and Real Computation , 1997, Springer New York.
[160] Mitsunori Ogihara. On Serializable Languages , 1994, Int. J. Found. Comput. Sci..
[161] M. Rabin. Degree of difficulty of computing a function and a partial ordering of recursive sets , 1960 .
[162] Moni Naor,et al. Efficient cryptographic schemes provably as secure as subset sum , 1989, 30th Annual Symposium on Foundations of Computer Science.
[163] Eli Upfal,et al. Constructing a perfect matching is in random NC , 1985, STOC '85.
[164] Eric Allender,et al. Making Nondeterminism Unambiguous , 2000, SIAM J. Comput..
[165] Lance Fortnow,et al. One-sided Versus Two-sided Randomness , 1998 .
[166] Scott Aaronson,et al. Quantum lower bound for the collision problem , 2001, STOC '02.
[167] Jin-Yi Cai,et al. PSPACE Survives Constant-Width Bottlenecks , 1991, Int. J. Found. Comput. Sci..
[168] Vijay V. Vazirani,et al. Matching is as easy as matrix inversion , 1987, STOC.
[169] Lane A. Hemaspaandra,et al. Computing Solutions Uniquely Collapses the Polynomial Hierarchy , 1996, SIAM J. Comput..
[170] Amnon Ta-Shma,et al. Uniform hardness versus randomness tradeoffs for Arthur-Merlin games , 2003, 18th IEEE Annual Conference on Computational Complexity, 2003. Proceedings..
[171] Johannes Köbler. Strukturelle Komplexität von Anzahlproblemen , 1989 .
[172] Avi Wigderson,et al. Monotone circuits for connectivity require super-logarithmic depth , 1990, STOC '88.
[173] Pavel Pudlák,et al. Threshold circuits of bounded depth , 1987, 28th Annual Symposium on Foundations of Computer Science (sfcs 1987).
[174] Johan Håstad,et al. Statistical Zero-Knowledge Languages can be Recognized in Two Rounds , 1991, J. Comput. Syst. Sci..
[175] Sanjeev Arora,et al. Probabilistic checking of proofs; a new characterization of NP , 1992, Proceedings., 33rd Annual Symposium on Foundations of Computer Science.
[176] Vikraman Arvind,et al. Graph Isomorphism is in SPP , 2006, Inf. Comput..
[177] Martin Nilsson,et al. Parallel Quantum Computation and Quantum Codes , 2001, SIAM J. Comput..
[178] Carme Àlvarez,et al. A compendium of problems complete for symmetric logarithmic space , 2000, computational complexity.
[179] Roy Steven Rubinstein. Structural complexity classes of sparse sets: intractability, data compression and printability , 1988 .
[180] Amit Sahai,et al. Can Statistical Zero Knowledge Be Made Non-interactive? or On the Relationship of SZK and NISZK , 1998, CRYPTO.
[181] Leonard M. Adleman,et al. Recognizing primes in random polynomial time , 1987, STOC.
[182] Roman Smolensky,et al. Algebraic methods in the theory of lower bounds for Boolean circuit complexity , 1987, STOC.
[183] M. Jerrum. Counting, Sampling and Integrating: Algorithms and Complexity , 2003 .
[184] Stephen R. Mahaney. Sparse Complete Sets of NP: Solution of a Conjecture of Berman and Hartmanis , 1982, J. Comput. Syst. Sci..
[185] N. V. Vinodchandran. A note on the circuit complexity of PP , 2005, Theor. Comput. Sci..
[186] Leslie G. Valiant,et al. Completeness classes in algebra , 1979, STOC.
[187] Giorgio Gambosi,et al. Complexity and approximation: combinatorial optimization problems and their approximability properties , 1999 .
[188] S.-Y. Kuroda,et al. Classes of Languages and Linear-Bounded Automata , 1964, Inf. Control..
[189] Hermann Jung. On Probabilistic Time and Space , 1985, ICALP.
[190] Michael Alekhnovich,et al. Resolution Is Not Automatizable Unless W[P] Is Tractable , 2008, SIAM J. Comput..
[191] Liming Cai,et al. On fixed-parameter tractability and approximability of NP-hard optimization problems , 1993, [1993] The 2nd Israel Symposium on Theory and Computing Systems.
[192] José L. Balcázar,et al. Sparse Sets, Lowness and Highness , 1986, SIAM J. Comput..
[193] Philippe Schnoebelen,et al. Oracle Circuits for Branching-Time Model Checking , 2003, ICALP.
[194] Jehoshua Bruck,et al. Polynomial threshold functions, AC functions and spectrum norms , 1990, Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science.
[195] John Watrous,et al. PSPACE has constant-round quantum interactive proof systems , 1999, 40th Annual Symposium on Foundations of Computer Science (Cat. No.99CB37039).
[196] Jack H. Lutz,et al. An Upward Measure Separation Theorem , 1991, Theor. Comput. Sci..
[197] Albert R. Meyer,et al. Cosmological lower bound on the circuit complexity of a small problem in logic , 2002, JACM.
[198] Phokion G. Kolaitis,et al. Logical Definability of NP Optimization Problems , 1994, Inf. Comput..
[199] Eitan M. Gurari,et al. Introduction to the theory of computation , 1989 .
[200] Mihalis Yannakakis,et al. How easy is local search? , 1985, 26th Annual Symposium on Foundations of Computer Science (sfcs 1985).
[201] J. Hopcroft,et al. Independence results in computer science , 1976, SIGA.
[202] Keiji Matsumoto,et al. Quantum multi-prover interactive proof systems with limited prior entanglement , 2003, J. Comput. Syst. Sci..
[203] Anne Condon,et al. The Complexity of Stochastic Games , 1992, Inf. Comput..
[204] Cristopher Moore,et al. Quantum and Stochastic Branching Programs of Bounded Width , 2002, ICALP.
[205] Janos Simon,et al. BPP and the polynomial time hierarchy in communication complexity , 1986 .
[206] Christopher B. Wilson. Relativized circuit complexity , 1983, 24th Annual Symposium on Foundations of Computer Science (sfcs 1983).
[207] Christoph Meinel,et al. Structure and Importance of Logspace-MOD-Classes , 1991, STACS.
[208] Jörg Flum,et al. The Parameterized Complexity of Counting Problems , 2004, SIAM J. Comput..
[209] J. Köbler,et al. The Graph Isomorphism Problem: Its Structural Complexity , 1993 .
[210] Rafail Ostrovsky,et al. One-way functions are essential for non-trivial zero-knowledge , 1993, [1993] The 2nd Israel Symposium on Theory and Computing Systems.
[211] Troy Lee,et al. Arithmetical definability over finite structures , 2003, Math. Log. Q..
[212] Silvio Micali,et al. Proofs that yield nothing but their validity or all languages in NP have zero-knowledge proof systems , 1991, JACM.
[213] Seymour Ginsburg,et al. Deterministic Context Free Languages , 1966, Inf. Control..
[214] Andrew Chi-Chih Yao. Circuits and local computation , 1989, STOC '89.
[215] Pierre McKenzie,et al. Reversible space equals deterministic space , 1997, Proceedings of Computational Complexity. Twelfth Annual IEEE Conference.
[216] José L. Balcázar,et al. Generalized Kolmogorov Complexity in Relativized Separations (Extended Abstract) , 1990, MFCS.
[217] Charles Rackoff,et al. Relativized questions involving probabilistic algorithms , 1978, STOC 1978.
[218] Nikolai K. Vereshchagin. On The Power of PP , 1992, Computational Complexity Conference.
[219] Eric Allender,et al. Measure on small complexity classes, with applications for BPP , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.
[220] Rocco A. Servedio,et al. Learnability beyond AC0 , 2002, STOC '02.
[221] Avi Wigderson,et al. Boolean complexity classes vs. their arithmetic analogs , 1996, Random Struct. Algorithms.
[222] Richard Cleve,et al. Fast parallel circuits for the quantum Fourier transform , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.
[223] Alexei Y. Kitaev,et al. Parallelization, amplification, and exponential time simulation of quantum interactive proof systems , 2000, STOC '00.
[224] Lance Fortnow,et al. Hierarchy theorems for probabilistic polynomial time , 2004, 45th Annual IEEE Symposium on Foundations of Computer Science.
[225] Peter Bro Miltersen,et al. Super-Polynomial Versus Half-Exponential Circuit Size in the Exponential Hierarchy , 1999 .
[226] Seinosuke Toda,et al. On the power of generalized Mod-classes , 1993, [1993] Proceedings of the Eigth Annual Structure in Complexity Theory Conference.
[227] Neil Immerman. Nondeterministic Space is Closed Under Complementation , 1988, SIAM J. Comput..
[228] Stuart A. Kurtz,et al. Gap-definable counting classes , 1991, [1991] Proceedings of the Sixth Annual Structure in Complexity Theory Conference.
[229] Jacobo Torán,et al. Turing Machines with Few Accepting Computations and Low Sets for PP , 1992, J. Comput. Syst. Sci..
[230] Ravi Kannan,et al. Circuit-Size Lower Bounds and Non-Reducibility to Sparse Sets , 1982, Inf. Control..
[231] John Watrous,et al. Limits on the power of quantum statistical zero-knowledge , 2002, The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002. Proceedings..
[232] Noam Nisan,et al. Symmetric logspace is closed under complement , 1995, STOC '95.
[233] Keiji Matsumoto,et al. Quantum Certificate Verification: Single versus Multiple Quantum Certificates , 2001, ArXiv.
[234] Leslie G. Valiant,et al. The Complexity of Computing the Permanent , 1979, Theor. Comput. Sci..
[235] Ian Parberry,et al. On the Construction of Parallel Computers from Various Bases of Boolean Functions , 1986, Theor. Comput. Sci..
[236] Desh Ranjan,et al. Relativization: a revisionistic retrospective , 1992, Bull. EATCS.
[237] Juris Hartmanis,et al. On Isomorphisms and Density of NP and Other Complete Sets , 1977, SIAM J. Comput..
[238] Stephen A. Cook,et al. Efficiently Approximable Real-Valued Functions , 2000, Electron. Colloquium Comput. Complex..
[239] Julia Kempe,et al. 3-local Hamiltonian is QMA-complete , 2003, Quantum Inf. Comput..
[240] Harumichi Nishimura,et al. An Algorithmic Argument for Query Complexity Lower Bounds of Advised Quantum Computation , 2003, ArXiv.
[241] Manfred K. Warmuth,et al. Membership for Growing Context-Sensitive Grammars is Polynomial , 1986, J. Comput. Syst. Sci..
[242] Ronald V. Book,et al. Comparing Complexity Classes , 1974, J. Comput. Syst. Sci..
[243] SystemsCarsten Lund,et al. Algebraic Methods for Interactive Proof , 2010 .
[244] H. Siegelmann,et al. Analog computation with dynamical systems , 1998 .
[245] Steven Rudich,et al. Super-bits, Demi-bits, and NP/qpoly-natural Proofs , 1997, RANDOM.
[246] Michael Sipser,et al. Parity, circuits, and the polynomial-time hierarchy , 1981, 22nd Annual Symposium on Foundations of Computer Science (sfcs 1981).
[247] Christian Glaßer,et al. Disjoint NP-pairs , 2003, 18th IEEE Annual Conference on Computational Complexity, 2003. Proceedings..
[248] Richard Beigel,et al. Downward separation fails catastrophically for limited nondeterminism classes , 1994, Proceedings of IEEE 9th Annual Conference on Structure in Complexity Theory.
[249] Richard Edwin Stearns,et al. Hierarchies of memory limited computations , 1965, SWCT.
[250] N. Vereshchagin,et al. Oracle separation of complexity classes and lower bounds for perceptrons solving separation problems , 1995 .
[251] Emil L. Post. Recursively enumerable sets of positive integers and their decision problems , 1944 .
[252] Silvio Micali,et al. Everything Provable is Provable in Zero-Knowledge , 1990, CRYPTO.
[253] Leslie G. Valiant,et al. On Time Versus Space , 1977, JACM.
[254] Elvira Mayordomo. Contributions to the study of resource-bounded measure , 1994 .
[255] Eric Allender,et al. Power from random strings , 2002, The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002. Proceedings..
[256] Rafail Ostrovsky,et al. One-way functions, hard on average problems, and statistical zero-knowledge proofs , 1991, [1991] Proceedings of the Sixth Annual Structure in Complexity Theory Conference.
[257] Elvira Mayordomo. Almost Every Set in Exponential Time is P-bi-Immune , 1994, Theor. Comput. Sci..
[258] Peter Bro Miltersen. Circuit Depth Relative to a Random Oracle , 1992, Inf. Process. Lett..
[259] Dieter van Melkebeek,et al. Graph nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses , 1999, STOC '99.
[260] Rolf Niedermeier,et al. Unambiguous Computations and Locally Definable Acceptance Types , 1998, Theor. Comput. Sci..
[261] Russell Impagliazzo,et al. Hardness as randomness: a survey of universal derandomization , 2003, ArXiv.
[262] Avi Wigderson,et al. P = BPP if E requires exponential circuits: derandomizing the XOR lemma , 1997, STOC '97.
[263] Eric Vigoda,et al. A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries , 2001, STOC '01.
[264] Marek Karpinski,et al. Randomness, Provability, and the Seperation of Monte Carlo Time and Space , 1987, Computation Theory and Logic.
[265] PROBLEMCHRISTER BERG,et al. ON THE BPP HIERARCHY , 1997 .
[266] Harry Buhrman,et al. Separating complexity classes using structural properties , 2004, Proceedings. 19th IEEE Annual Conference on Computational Complexity, 2004..
[267] Alan Cobham,et al. The Recognition Problem for the Set of Perfect Squares , 1966, SWAT.
[268] Michael R. Fellows,et al. The Parameterized Complexity of Relational Database Queries and an Improved Characterization of W[1] , 1996, DMTCS.
[269] Umesh V. Vazirani,et al. Quantum Complexity Theory , 1997, SIAM J. Comput..
[270] L. G. H. Cijan. A polynomial algorithm in linear programming , 1979 .
[271] John C. Shepherdson,et al. The Reduction of Two-Way Automata to One-Way Automata , 1959, IBM J. Res. Dev..
[272] Pascal Koiran. Hilbert's Nullstellensatz Is in the Polynomial Hierarchy , 1996, J. Complex..
[273] Jim Kadin. The Polynomial Time Hierarchy Collapses if the Boolean Hierarchy Collapses , 1988, SIAM J. Comput..
[274] Peter Bro Miltersen,et al. On monotone planar circuits , 1999, Proceedings. Fourteenth Annual IEEE Conference on Computational Complexity (Formerly: Structure in Complexity Theory Conference) (Cat.No.99CB36317).
[275] Mihalis Yannakakis,et al. Algorithms for Acyclic Database Schemes , 1981, VLDB.
[276] Christos H. Papadimitriou,et al. On the Complexity of the Parity Argument and Other Inefficient Proofs of Existence , 1994, J. Comput. Syst. Sci..
[277] Mihir Bellare,et al. The Complexity of Decision Versus Search , 1991, SIAM J. Comput..
[278] Carsten Lund,et al. Non-deterministic exponential time has two-prover interactive protocols , 2005, computational complexity.
[279] Eric Allender,et al. The Permanent Requires Large Uniform Threshold Circuits , 1999, Chic. J. Theor. Comput. Sci..
[280] Alexander Russell,et al. Symmetric alternation captures BPP , 1998, computational complexity.
[281] James P. Crutchfield,et al. Quantum automata and quantum grammars , 2000, Theor. Comput. Sci..
[282] Luca Trevisan,et al. On the Efficiency of Polynomial Time Approximation Schemes , 1997, Inf. Process. Lett..
[283] Larry J. Stockmeyer,et al. On Approximation Algorithms for #P , 1985, SIAM J. Comput..
[284] Walter J. Savitch,et al. Relationships Between Nondeterministic and Deterministic Tape Complexities , 1970, J. Comput. Syst. Sci..
[285] Klaus W. Wagner,et al. On Boolean Lowness and Boolean Highness , 1998, COCOON.
[286] S. C. Kleene,et al. Introduction to Metamathematics , 1952 .
[287] Scott Aaronson. Quantum Computing and Dynamical Quantum Models , 2002 .
[288] Peter W. Shor,et al. Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer , 1995, SIAM Rev..
[289] Robert Spalek,et al. Quantum Circuits with Unbounded Fan-out , 2002, STACS.
[290] Mark W. Krentel. The Complexity of Optimization Problems , 1986, Computational Complexity Conference.
[291] Gilles Brassard,et al. Strengths and Weaknesses of Quantum Computing , 1997, SIAM J. Comput..
[292] Stephen A. Cook,et al. Log Depth Circuits for Division and Related Problems , 1984, SIAM J. Comput..
[293] M. Fischer,et al. SUPER-EXPONENTIAL COMPLEXITY OF PRESBURGER ARITHMETIC , 1974 .
[294] Sanjeev Arora,et al. Polynomial time approximation schemes for Euclidean TSP and other geometric problems , 1996, Proceedings of 37th Conference on Foundations of Computer Science.
[295] Mihalis Yannakakis,et al. On Generating All Maximal Independent Sets , 1988, Inf. Process. Lett..
[296] N. V. Vinodchandran. Counting Complexity of Solvable Black-Box Group Problems , 2004, SIAM J. Comput..
[297] Tsuyoshi Morioka. Classification of Search Problems and Their Definability in Bounded Arithmetic , 2001, Electron. Colloquium Comput. Complex..
[298] Richard E. Ladner,et al. On the Structure of Polynomial Time Reducibility , 1975, JACM.
[299] Timothy J. Long,et al. Quantitative Relativizations of Complexity Classes , 1984, SIAM J. Comput..
[300] Lance Fortnow,et al. Nonrelativizing separations , 1998, Proceedings. Thirteenth Annual IEEE Conference on Computational Complexity (Formerly: Structure in Complexity Theory Conference) (Cat. No.98CB36247).
[301] Seinosuke Toda. On the computational power of PP and (+)P , 1989, 30th Annual Symposium on Foundations of Computer Science.
[302] Leslie G. Valiant,et al. Fast Parallel Computation of Polynomials Using Few Processors , 1983, SIAM J. Comput..
[303] E. Szemerédi,et al. Undirected connectivity in O(log/sup 1.5/n) space , 1992, Proceedings., 33rd Annual Symposium on Foundations of Computer Science.
[304] Andrew Chi-Chih Yao,et al. Coherent Functions and Program ( extended abstract ) Checkers , .
[305] Alexander A. Razborov,et al. On provably disjoint NP-pairs , 1994, Electron. Colloquium Comput. Complex..
[306] Nancy A. Lynch,et al. Relativization of questions about log space computability , 1976, Mathematical systems theory.
[307] Allan Borodin,et al. On Relating Time and Space to Size and Depth , 1977, SIAM J. Comput..
[308] Ronald V. Book,et al. On Languages Accepted in Polynomial Time , 1972, SIAM J. Comput..
[309] Russell Impagliazzo,et al. The Relative Complexity of NP Search Problems , 1998, J. Comput. Syst. Sci..
[310] Andris Ambainis,et al. Computing with highly mixed states (extended abstract) , 2000, STOC '00.
[311] Amit Sahai,et al. A complete promise problem for statistical zero-knowledge , 1997, Proceedings 38th Annual Symposium on Foundations of Computer Science.
[312] Peter Bro Miltersen,et al. Searching constant width mazes captures the AC 0 hierarchy , 1997 .
[313] Christos H. Papadimitriou,et al. Symmetric Space-Bounded Computation , 1982, Theor. Comput. Sci..
[314] Juris Hartmanis,et al. Sparse Complete Sets for NP and the Optimal Collapse of the Polynomial Hierarchy , 1993, Current Trends in Theoretical Computer Science.
[315] Scott Aaronson,et al. Lower bounds for local search by quantum arguments , 2003, STOC '04.
[316] Oded Goldreich,et al. The Random Oracle Hypothesis Is False , 1994, J. Comput. Syst. Sci..
[317] John Watrous,et al. Succinct quantum proofs for properties of finite groups , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.
[318] S. Aaronson. Limitations of quantum advice and one-way communication , 2004 .
[319] Michael Kharitonov,et al. Cryptographic hardness of distribution-specific learning , 1993, STOC.
[320] Eric Allender,et al. Isolation, Matching, and Counting Uniform and Nonuniform Upper Bounds , 1999, J. Comput. Syst. Sci..
[321] Stephen A. Cook,et al. Complexity Theory of Parallel Time and Hardware , 1989, Inf. Comput..
[322] Luca Trevisan,et al. Structure in Approximation Classes , 1999, Electron. Colloquium Comput. Complex..
[323] Luca Trevisan,et al. Pseudorandomness and average-case complexity via uniform reductions , 2002, Proceedings 17th IEEE Annual Conference on Computational Complexity.
[324] Richard Beigel,et al. On the relativized power of additional accepting paths , 1989, [1989] Proceedings. Structure in Complexity Theory Fourth Annual Conference.
[325] Chris Pollett,et al. On the complexity of quantum ACC , 2000, Proceedings 15th Annual IEEE Conference on Computational Complexity.
[326] S. Aaronson. Is Quantum Mechanics An Island in Theoryspace , 2004, quant-ph/0401062.
[327] Klaus W. Wagner,et al. The complexity of combinatorial problems with succinct input representation , 1986, Acta Informatica.
[328] Gábor Tardos,et al. Query complexity, or why is it difficult to separateNPA∩coNPA fromPA by random oraclesA? , 1989, Comb..
[329] Avi Wigderson,et al. In search of an easy witness: exponential time vs. probabilistic polynomial time , 2001, Proceedings 16th Annual IEEE Conference on Computational Complexity.
[330] Oscar H. Ibarra. A Note Concerning Nondeterministic Tape Complexities , 1972, JACM.
[331] Ker-I Ko,et al. Some Observations on the Probabilistic Algorithms and NP-hard Problems , 1982, Inf. Process. Lett..
[332] Jacobo Torán,et al. Graph isomorphism is low for PP , 1992, computational complexity.
[333] L. Fortnow,et al. On the power of multi-power interactive protocols , 1988, [1988] Proceedings. Structure in Complexity Theory Third Annual Conference.
[334] Mikhail N. Vyalyi,et al. QMA=PP implies that PP contains PH , 2003, Electron. Colloquium Comput. Complex..
[335] Juris Hartmanis,et al. Complexity Classes without Machines: On Complete Languages for UP , 1986, Theor. Comput. Sci..
[336] Eric Allender,et al. Circuit Complexity before the Dawn of the New Millennium , 1996, FSTTCS.
[337] R. Friedberg,et al. TWO RECURSIVELY ENUMERABLE SETS OF INCOMPARABLE DEGREES OF UNSOLVABILITY (SOLUTION OF POST'S PROBLEM, 1944). , 1957, Proceedings of the National Academy of Sciences of the United States of America.
[338] Scott Aaronson,et al. Multilinear formulas and skepticism of quantum computing , 2003, STOC '04.
[339] A. Turing. On Computable Numbers, with an Application to the Entscheidungsproblem. , 1937 .
[340] Giovanni Di Crescenzo,et al. Image Density is Complete for Non-Interactive-SZK (Extended Abstract) , 1998, ICALP.
[341] John T. Gill,et al. Computational complexity of probabilistic Turing machines , 1974, STOC '74.
[342] László Babai,et al. Arthur-Merlin Games: A Randomized Proof System, and a Hierarchy of Complexity Classes , 1988, J. Comput. Syst. Sci..
[343] Christopher Umans. The Minimum Equivalent DNF Problem and Shortest Implicants , 2001, J. Comput. Syst. Sci..
[344] Tatsuaki Okamoto. On Relationships between Statistical Zero-Knowledge Proofs , 2000, J. Comput. Syst. Sci..
[345] Moni Naor,et al. Pseudo-random functions and factoring (extended abstract) , 2000, STOC '00.
[346] Richard Beigel,et al. Perceptrons, PP, and the polynomial hierarchy , 1992, [1992] Proceedings of the Seventh Annual Structure in Complexity Theory Conference.
[347] Allan Borodin,et al. Two Applications of Inductive Counting for Complementation Problems , 1989, SIAM J. Comput..
[348] Lance Fortnow,et al. The Role of Relativization in Complexity Theory , 1994, Bull. EATCS.
[349] Uwe Schöning,et al. A Low and a High Hierarchy within NP , 1983, J. Comput. Syst. Sci..
[350] Leslie G. Valiant,et al. NP is as easy as detecting unique solutions , 1985, STOC '85.
[351] Avi Wigderson,et al. On span programs , 1993, [1993] Proceedings of the Eigth Annual Structure in Complexity Theory Conference.
[352] Peter Frankl,et al. Complexity classes in communication complexity theory , 1986, 27th Annual Symposium on Foundations of Computer Science (sfcs 1986).
[353] Peter Bro Miltersen,et al. On Pseudorandom Generators in NC , 2001, MFCS.
[354] John Gill,et al. Relative to a Random Oracle A, PA != NPA != co-NPA with Probability 1 , 1981, SIAM J. Comput..
[355] Noam Nisan,et al. Constant depth circuits, Fourier transform, and learnability , 1993, JACM.
[356] Richard J. Lipton,et al. Random walks, universal traversal sequences, and the complexity of maze problems , 1979, 20th Annual Symposium on Foundations of Computer Science (sfcs 1979).