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Exponential lower bounds for the pigeonhole principle

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/rsa.3240070103openalex-snapshot
An exponential lower bound to the size of bounded depth frege proofs of the pigeonhole principle
inferredcites →https://doi.org/10.1007/3-540-16486-3_102openalex-snapshot
A depth-size tradeoff for boolean circuits with unbounded fan-in
inferredcites →https://doi.org/10.1007/978-3-642-81955-1_28openalex-snapshot
On the Complexity of Derivation in Propositional Calculus
inferredcites →https://doi.org/10.1007/bf01744431openalex-snapshot
Parity, circuits, and the polynomial-time hierarchy
inferredcites →https://doi.org/10.1016/0166-218x(90)90079-ropenalex-snapshot
Lower bounds for recognizing small cliques on CRCW PRAM's
inferredcites →https://doi.org/10.1016/0168-0072(83)90038-6openalex-snapshot
∑11-Formulae on finite structures
inferredcites →https://doi.org/10.1016/0304-3975(85)90144-6openalex-snapshot
The intractability of resolution
inferredcites →https://doi.org/10.1017/s0022481200028061openalex-snapshot
Provability of the pigeonhole principle and the existence of infinitely many primes
inferredcites →https://doi.org/10.1109/sfcs.1985.49openalex-snapshot
Separating the polynomial-time hierarchy by oracles
inferredcites →https://doi.org/10.1109/sfcs.1988.21951openalex-snapshot
The complexity of the pigeonhole principle
inferredcites →https://doi.org/10.1137/0221068openalex-snapshot
Approximation and Small-Depth Frege Proofs
inferredcites →https://doi.org/10.1145/129712.129733openalex-snapshot
Exponential lower bounds for the pigeonhole principle
inferredcites →https://doi.org/10.1145/65950.65958openalex-snapshot
Optimal bounds for decision problems on the CRCW PRAM
inferredcites →https://doi.org/10.1145/7531.8928openalex-snapshot
Hard examples for resolution
inferredcites →https://doi.org/10.2307/2273702openalex-snapshot
The relative efficiency of propositional proof systems
inferredcites →https://doi.org/10.2307/2273826openalex-snapshot
Polynomial size proofs of the propositional pigeonhole principle
inferredcites →https://doi.org/10.2307/2275228openalex-snapshot
The deduction rule and linear and near-linear proof simulations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/1521-3870(200111)47:4<461::aid-malq461>3.0.co;2-bopenalex-snapshot
Monotone Proofs of the Pigeon Hole Principle
inferred← citeshttps://doi.org/10.1002/1521-3870(200204)48:3<375::aid-malq375>3.0.co;2-lopenalex-snapshot
A Note on Conservativity Relations among Bounded Arithmetic Theories
inferred← citeshttps://doi.org/10.1002/malq.19970430313openalex-snapshot
Forcing in Finite Structures
inferred← citeshttps://doi.org/10.1002/malq.200410019openalex-snapshot
An unexpected separation result in Linearly Bounded Arithmetic
inferred← citeshttps://doi.org/10.1002/malq.200710069openalex-snapshot
On the correspondence between arithmetic theories and propositional proof systems – a survey
inferred← citeshttps://doi.org/10.1002/rsa.3240070103openalex-snapshot
An exponential lower bound to the size of bounded depth frege proofs of the pigeonhole principle
inferred← citeshttps://doi.org/10.1006/jcss.2002.1830openalex-snapshot
A New Proof of the Weak Pigeonhole Principle
inferred← citeshttps://doi.org/10.1007/3-540-44683-4_14openalex-snapshot
Improved Bounds on the Weak Pigeonhole Principle and Infinitely Many Primes from Weaker Axioms
inferred← citeshttps://doi.org/10.1007/3-540-46011-x_8openalex-snapshot
Proof Complexity of Pigeonhole Principles
inferred← citeshttps://doi.org/10.1007/3-540-61440-0_116openalex-snapshot
Lower bounds for prepositional proofs and independence results in bounded arithmetic
inferred← citeshttps://doi.org/10.1007/978-1-4612-2566-9_1openalex-snapshot
On the Existence of modulo p Cardinality Functions
inferred← citeshttps://doi.org/10.1007/978-1-4612-2566-9_10openalex-snapshot
On Frege and Extended Frege Proof Systems
inferred← citeshttps://doi.org/10.1007/978-1-4612-2566-9_3openalex-snapshot
Are there Hard Examples for Frege Systems?
inferred← citeshttps://doi.org/10.1007/978-3-030-24258-9_5openalex-snapshot
DRAT Proofs, Propagation Redundancy, and Extended Resolution
inferred← citeshttps://doi.org/10.1007/978-3-030-71430-7_18openalex-snapshot
Reflections on Proof Complexity and Counting Principles
inferred← citeshttps://doi.org/10.1007/978-3-0348-9110-3_9openalex-snapshot
The Power of Exponentiation in Arithmetic
inferred← citeshttps://doi.org/10.1007/978-3-319-09284-3_11openalex-snapshot
Proof Complexity and the Kneser-Lovász Theorem
inferred← citeshttps://doi.org/10.1007/978-3-319-40970-2_2openalex-snapshot
Satisfiability via Smooth Pictures
inferred← citeshttps://doi.org/10.1007/978-3-540-79709-8_4openalex-snapshot
Twelve Problems in Proof Complexity
inferred← citeshttps://doi.org/10.1007/978-3-642-13562-0_3openalex-snapshot
Proof Complexity of Non-classical Logics
inferred← citeshttps://doi.org/10.1007/978-3-642-13562-0_7openalex-snapshot
Algebraic Proofs over Noncommutative Formulas
inferred← citeshttps://doi.org/10.1007/978-3-642-22006-7_53openalex-snapshot
Parameterized Bounded-Depth Frege Is Not Optimal
inferred← citeshttps://doi.org/10.1007/978-3-642-30870-3_15openalex-snapshot
Complexity of Deep Inference via Atomic Flows
inferred← citeshttps://doi.org/10.1007/978-3-642-31485-8openalex-snapshot
Lectures on Logic and Computation
inferred← citeshttps://doi.org/10.1007/978-3-642-31485-8_1openalex-snapshot
Proof Complexity of Non-classical Logics
inferred← citeshttps://doi.org/10.1007/978-3-642-58622-4_5openalex-snapshot
Propositional Proof Complexity an Introduction
inferred← citeshttps://doi.org/10.1007/978-3-662-21963-8_6openalex-snapshot
A bottom-up approach to foundations of mathematics
inferred← citeshttps://doi.org/10.1007/978-3-7091-9461-4_4openalex-snapshot
A Fundamental Problem of Mathematical Logic
inferred← citeshttps://doi.org/10.1007/978-3-7091-9461-4_5openalex-snapshot
On the lengths of proofs of consistency
inferred← citeshttps://doi.org/10.1007/978-94-017-0487-8_4openalex-snapshot
On Methods for Proving Lower Bounds in Propositional Logic
inferred← citeshttps://doi.org/10.1007/bf01294258openalex-snapshot
Proof complexity in algebraic systems and bounded depth Frege systems with modular counting
inferred← citeshttps://doi.org/10.1007/bf02391554openalex-snapshot
Some remarks on lengths of propositional proofs
inferred← citeshttps://doi.org/10.1007/bfb0028012openalex-snapshot
Resolution and the weak pigeonhole principle
inferred← citeshttps://doi.org/10.1007/bfb0029951openalex-snapshot
Lower bounds for a proof system with an exponential speed-up over constant-depth Frege systems and over polynomial calculus
inferred← citeshttps://doi.org/10.1007/s00037-002-0172-5openalex-snapshot
Hard examples for the bounded depth Frege proof system
inferred← citeshttps://doi.org/10.1007/s00037-008-0246-0openalex-snapshot
The Strength of Multilinear Proofs
inferred← citeshttps://doi.org/10.1007/s00037-013-0064-xopenalex-snapshot
Lifting lower bounds for tree-like proofs
inferred← citeshttps://doi.org/10.1007/s00037-020-00202-xopenalex-snapshot
Resolution with Counting: Dag-Like Lower Bounds and Different Moduli
inferred← citeshttps://doi.org/10.1007/s00153-003-0205-zopenalex-snapshot
Matrix identities and the pigeonhole principle
inferred← citeshttps://doi.org/10.1007/s00153-005-0325-8openalex-snapshot
Upper bounds on complexity of Frege proofs with limited use of certain schemata
inferred← citeshttps://doi.org/10.1007/s00153-008-0068-4openalex-snapshot
On meta complexity of propositional formulas and propositional proofs
inferred← citeshttps://doi.org/10.1007/s00153-010-0212-9openalex-snapshot
A note on propositional proof complexity of some Ramsey-type statements
inferred← citeshttps://doi.org/10.1007/s00153-011-0240-0openalex-snapshot
Higher complexity search problems for bounded arithmetic and a formalized no-gap theorem
inferred← citeshttps://doi.org/10.1007/s00153-014-0398-3openalex-snapshot
Partially definable forcing and bounded arithmetic
inferred← citeshttps://doi.org/10.1007/s00153-024-00938-1openalex-snapshot
On some $$\Sigma ^{B}_{0}$$-formulae generalizing counting principles over $$V^{0}$$
inferred← citeshttps://doi.org/10.1007/s001530050060openalex-snapshot
Count( $q$ ) versus the pigeon-hole principle
inferred← citeshttps://doi.org/10.1016/0168-0072(96)83747-xopenalex-snapshot
An exponential separation between the parity principle and the pigeonhole principle
inferred← citeshttps://doi.org/10.1016/j.apal.2005.05.002openalex-snapshot
Separation results for the size of constant-depth propositional proofs
inferred← citeshttps://doi.org/10.1016/j.apal.2011.09.009openalex-snapshot
Towards NP – P via proof complexity and search
inferred← citeshttps://doi.org/10.1016/j.apal.2019.05.002openalex-snapshot
On transformations of constant depth propositional proofs
inferred← citeshttps://doi.org/10.1016/j.apal.2022.103166openalex-snapshot
Bounded-depth Frege complexity of Tseitin formulas for all graphs
inferred← citeshttps://doi.org/10.1016/j.apal.2024.103538openalex-snapshot
Strength and limitations of Sherali-Adams and Nullstellensatz proof systems
inferred← citeshttps://doi.org/10.1016/j.ic.2011.07.004openalex-snapshot
Algebraic proofs over noncommutative formulas
inferred← citeshttps://doi.org/10.1016/j.tcs.2005.09.021openalex-snapshot
LA, permutations, and the Hajós Calculus
inferred← citeshttps://doi.org/10.1016/j.tcs.2006.03.011openalex-snapshot
Polynomial-size Frege and resolution proofs of st-connectivity and Hex tautologies
inferred← citeshttps://doi.org/10.1016/s0049-237x(98)80023-2openalex-snapshot
The Lengths of Proofs
inferred← citeshttps://doi.org/10.1016/s0304-3975(02)00394-8openalex-snapshot
Improved bounds on the Weak Pigeonhole Principle and infinitely many primes from weaker axioms
inferred← citeshttps://doi.org/10.1016/s0304-3975(02)00446-2openalex-snapshot
Algebraic proof systems over formulas
inferred← citeshttps://doi.org/10.1017/9781108242066openalex-snapshot
Proof Complexity
inferred← citeshttps://doi.org/10.1017/9781108242066.001openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1017/9781108242066.002openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1017/9781108242066.003openalex-snapshot
Concepts and Problems
inferred← citeshttps://doi.org/10.1017/9781108242066.004openalex-snapshot
Frege Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.005openalex-snapshot
Sequent Calculus
inferred← citeshttps://doi.org/10.1017/9781108242066.006openalex-snapshot
Quantified Propositional Calculus
inferred← citeshttps://doi.org/10.1017/9781108242066.007openalex-snapshot
Resolution
inferred← citeshttps://doi.org/10.1017/9781108242066.008openalex-snapshot
Algebraic and Geometric Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.009openalex-snapshot
Further Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.010openalex-snapshot
Basic Example of the Correspondence between Theories and Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.011openalex-snapshot
The Two Worlds of Bounded Arithmetic
inferred← citeshttps://doi.org/10.1017/9781108242066.012openalex-snapshot
Up to EF via the 〈. . .〉 Translation
inferred← citeshttps://doi.org/10.1017/9781108242066.013openalex-snapshot
Examples of Upper Bounds and p-Simulations
inferred← citeshttps://doi.org/10.1017/9781108242066.014openalex-snapshot
Beyond EF via the || . . . || Translation
inferred← citeshttps://doi.org/10.1017/9781108242066.015openalex-snapshot
R and R-Like Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.016openalex-snapshot
LKd+1/2 and Combinatorial Restrictions
inferred← citeshttps://doi.org/10.1017/9781108242066.017openalex-snapshot
Fd and Logical Restrictions
inferred← citeshttps://doi.org/10.1017/9781108242066.018openalex-snapshot
Algebraic and Geometric Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.019openalex-snapshot
Feasible Interpolation: A Framework
inferred← citeshttps://doi.org/10.1017/9781108242066.020openalex-snapshot
Feasible Interpolation: Applications
inferred← citeshttps://doi.org/10.1017/9781108242066.021openalex-snapshot
Hard Tautologies
inferred← citeshttps://doi.org/10.1017/9781108242066.022openalex-snapshot
Model Theory and Lower Bounds
inferred← citeshttps://doi.org/10.1017/9781108242066.023openalex-snapshot
Optimality
inferred← citeshttps://doi.org/10.1017/9781108242066.024openalex-snapshot
The Nature of Proof Complexity
inferred← citeshttps://doi.org/10.1017/9781108242066.025openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1017/9781108242066.026openalex-snapshot
Index
inferred← citeshttps://doi.org/10.1017/9781316716939.007openalex-snapshot
A bottom-up approach to foundations of mathematics
inferred← citeshttps://doi.org/10.1017/9781316716939.008openalex-snapshot
K-graph Machines: generalizing Turing's machines and arguments
inferred← citeshttps://doi.org/10.1017/jsl.2014.56openalex-snapshot
LOWER BOUNDS FOR DNF-REFUTATIONS OF A RELATIVIZED WEAK PIGEONHOLE PRINCIPLE
inferred← citeshttps://doi.org/10.1090/dimacs/039/01openalex-snapshot
Plausibly hard combinatorial tautologies
inferred← citeshttps://doi.org/10.1090/dimacs/039/02openalex-snapshot
More on the relative strength of counting principles
inferred← citeshttps://doi.org/10.1090/proc/16709openalex-snapshot
Extended Nullstellensatz proof systems
inferred← citeshttps://doi.org/10.1090/s0002-9939-2015-12610-xopenalex-snapshot
A reduction of proof complexity to computational complexity for 𝐴𝐶⁰[𝑝] Frege systems
inferred← citeshttps://doi.org/10.1090/s0002-9947-2015-06233-3openalex-snapshot
Collapsing modular counting in bounded arithmetic and constant depth propositional proofs
inferred← citeshttps://doi.org/10.1090/s0273-0979-97-00715-5openalex-snapshot
Making proofs without Modus Ponens: An introduction to the combinatorics and complexity of cut elimination
inferred← citeshttps://doi.org/10.1090/tran/8494openalex-snapshot
Where pigeonhole principles meet König lemmas
inferred← citeshttps://doi.org/10.1093/ietfec/e91-a.9.2301openalex-snapshot
New Graph Calculi for Planar Non-3-Colorable Graphs
inferred← citeshttps://doi.org/10.1093/logcom/exi035openalex-snapshot
Uniform Proof Complexity
inferred← citeshttps://doi.org/10.1109/ccc.2002.1004321openalex-snapshot
Hard examples for bounded depth frege
inferred← citeshttps://doi.org/10.1109/ccc.2004.1313795openalex-snapshot
Relativized NP search problems and propositional proof systems
inferred← citeshttps://doi.org/10.1109/ccc.2004.30openalex-snapshot
Relativized NP search problems and propositional proof systems
inferred← citeshttps://doi.org/10.1109/ccc.2011.34openalex-snapshot
Relativized Separations of Worst-Case and Average-Case Complexities for NP
inferred← citeshttps://doi.org/10.1109/ccc.2013.20openalex-snapshot
Lower Bounds for DNF-refutations of a Relativized Weak Pigeonhole Principle
inferred← citeshttps://doi.org/10.1109/focs.2014.20openalex-snapshot
Circuit Complexity, Proof Complexity, and Polynomial Identity Testing
inferred← citeshttps://doi.org/10.1109/focs.2015.67openalex-snapshot
An Average-Case Depth Hierarchy Theorem for Boolean Circuits
inferred← citeshttps://doi.org/10.1109/focs.2017.18openalex-snapshot
On Small-Depth Frege Proofs for Tseitin for Grids
inferred← citeshttps://doi.org/10.1109/focs.2019.00080openalex-snapshot
Why are Proof Complexity Lower Bounds Hard?
inferred← citeshttps://doi.org/10.1109/focs52979.2021.00052openalex-snapshot
Tradeoffs for small-depth Frege proofs
inferred← citeshttps://doi.org/10.1109/focs54457.2022.00110openalex-snapshot
On Bounded Depth Proofs for Tseitin Formulas on the Grid; Revisited
inferred← citeshttps://doi.org/10.1109/focs57990.2023.00010openalex-snapshot
On small-depth Frege proofs for PHP
inferred← citeshttps://doi.org/10.1109/lics.1993.287577openalex-snapshot
An exponential separation between the matching principle and the pigeonhole principle
inferred← citeshttps://doi.org/10.1109/lics.2006.19openalex-snapshot
Conditional Lower Bound for a System of Constant-Depth Proofs with Modular Connectives
inferred← citeshttps://doi.org/10.1109/sct.1995.514725openalex-snapshot
Intractability of read-once resolution
inferred← citeshttps://doi.org/10.1109/sfcs.1994.365714openalex-snapshot
Lower bounds on Hilbert's Nullstellensatz and propositional proofs
inferred← citeshttps://doi.org/10.1109/sfcs.2001.959894openalex-snapshot
Counting axioms do not polynomially simulate counting gates
inferred← citeshttps://doi.org/10.1109/sfcs.2002.1181982openalex-snapshot
Bounded-depth Frege lower bounds for weaker pigeonhole principles
inferred← citeshttps://doi.org/10.1112/plms/pdq044openalex-snapshot
The provably total search problems of bounded arithmetic
inferred← citeshttps://doi.org/10.1112/plms/s3-69.1.1openalex-snapshot
An Application of Boolean Complexity to Separation Problems in Bounded Arithmetic
inferred← citeshttps://doi.org/10.1137/16m1107632openalex-snapshot
Characterizing Propositional Proofs as Noncommutative Formulas
inferred← citeshttps://doi.org/10.1137/20m1375851openalex-snapshot
Why Extension-Based Proofs Fail
inferred← citeshttps://doi.org/10.1137/21m1447519openalex-snapshot
Iterated Lower Bound Formulas: A Diagonalization-Based Approach to Proof Complexity
inferred← citeshttps://doi.org/10.1137/22m153851xopenalex-snapshot
On Bounded Depth Proofs for Tseitin Formulas on the Grid; Revisited
inferred← citeshttps://doi.org/10.1137/s0097539703433146openalex-snapshot
Bounded-Depth Frege Lower Bounds for Weaker Pigeonhole Principles
inferred← citeshttps://doi.org/10.1142/s021906132250012xopenalex-snapshot
Approximate counting and NP search problems
inferred← citeshttps://doi.org/10.1145/1131313.1131314openalex-snapshot
Constant-depth Frege systems with counting axioms polynomially simulate Nullstellensatz refutations
inferred← citeshttps://doi.org/10.1145/129712.129733openalex-snapshot
Exponential lower bounds for the pigeonhole principle
inferred← citeshttps://doi.org/10.1145/1740582.1740587openalex-snapshot
Lower bounds for bounded depth Frege proofs via Pudlák-Buss games
inferred← citeshttps://doi.org/10.1145/2603088.2603164openalex-snapshot
On the pigeonhole and related principles in deep inference and monotone systems
inferred← citeshttps://doi.org/10.1145/2656209openalex-snapshot
Exponential Lower Bounds for AC 0 -Frege Imply Superpolynomial Frege Lower Bounds
inferred← citeshttps://doi.org/10.1145/2840728.2840740openalex-snapshot
Lower Bounds
inferred← citeshttps://doi.org/10.1145/2897518.2897637openalex-snapshot
Poly-logarithmic Frege depth lower bounds via an expander switching lemma
inferred← citeshttps://doi.org/10.1145/2933575.2933597openalex-snapshot
Understanding Gentzen and Frege Systems for QBF
inferred← citeshttps://doi.org/10.1145/2951860.2951874openalex-snapshot
SIGACT News Complexity Theory Column 91
inferred← citeshttps://doi.org/10.1145/2951860.2951875openalex-snapshot
Guest Column
inferred← citeshttps://doi.org/10.1145/3095799openalex-snapshot
An Average-Case Depth Hierarchy Theorem for Boolean Circuits
inferred← citeshttps://doi.org/10.1145/335305.335348openalex-snapshot
A new proof of the weak pigeonhole principle
inferred← citeshttps://doi.org/10.1145/3378665openalex-snapshot
Reasons for Hardness in QBF Proof Systems
inferred← citeshttps://doi.org/10.1145/3381881openalex-snapshot
Frege Systems for Quantified Boolean Logic
inferred← citeshttps://doi.org/10.1145/3406325.3451010openalex-snapshot
Iterated lower bound formulas: a diagonalization-based approach to proof complexity
inferred← citeshttps://doi.org/10.1145/3425606openalex-snapshot
On Small-depth Frege Proofs for Tseitin for Grids
inferred← citeshttps://doi.org/10.1145/3471469.3471478openalex-snapshot
SIGACT News Complexity Theory Column 109
inferred← citeshttps://doi.org/10.1145/3471469.3471479openalex-snapshot
Guest Column
inferred← citeshttps://doi.org/10.1145/3506702openalex-snapshot
On Proof Complexity of Resolution over Polynomial Calculus
inferred← citeshttps://doi.org/10.1145/3531130.3533344openalex-snapshot
On the strength of Sherali-Adams and Nullstellensatz as propositional proof systems
inferred← citeshttps://doi.org/10.1145/3579997openalex-snapshot
Circular (Yet Sound) Proofs in Propositional Logic
inferred← citeshttps://doi.org/10.1145/3618260.3649616openalex-snapshot
Functional Lower Bounds in Algebraic Proofs: Symmetry, Lifting, and Barriers
inferred← citeshttps://doi.org/10.1145/3798129.3800735openalex-snapshot
The Weak Rank Principle: Lower Bounds and Applications
inferred← citeshttps://doi.org/10.1145/3798129.3800809openalex-snapshot
Lower Bounds for Near-Quadratic-Depth Resolution over Parities
inferred← citeshttps://doi.org/10.1145/3801091openalex-snapshot
Towards P≠NP from Extended Frege lower bounds
inferred← citeshttps://doi.org/10.1145/509907.509988openalex-snapshot
Hard examples for bounded depth frege
inferred← citeshttps://doi.org/10.1305/ndjfl/1040046140openalex-snapshot
Simplified Lower Bounds for Propositional Proofs
inferred← citeshttps://doi.org/10.14778/3275536.3275539openalex-snapshot
Pigeonring
inferred← citeshttps://doi.org/10.2168/lmcs-11(1:4)2015openalex-snapshot
On the relative proof complexity of deep inference via atomic flows
inferred← citeshttps://doi.org/10.2178/bsl/1203350879openalex-snapshot
The Complexity of Propositional Proofs
inferred← citeshttps://doi.org/10.2178/jsl/1080938837openalex-snapshot
Approximate Euler characteristic, dimension, and weak pigeonhole principles
inferred← citeshttps://doi.org/10.2178/jsl/1185803628openalex-snapshot
NP search problems in low fragments of bounded arithmetic
inferred← citeshttps://doi.org/10.2178/jsl/1268917504openalex-snapshot
A form of feasible interpolation for constant depth Frege systems
inferred← citeshttps://doi.org/10.2307/2275228openalex-snapshot
The deduction rule and linear and near-linear proof simulations
inferred← citeshttps://doi.org/10.2307/2586716openalex-snapshot
Forcing on bounded arithmetic II
inferred← citeshttps://doi.org/10.2307/2586729openalex-snapshot
Witnessing functions in bounded arithmetic and search problems
inferred← citeshttps://doi.org/10.2307/421058openalex-snapshot
Combinatorics with Definable Sets: Euler Characteristics and Grothendieck Rings
inferred← citeshttps://doi.org/10.2307/421131openalex-snapshot
The Complexity of Propositional Proofs
inferred← citeshttps://doi.org/10.23638/lmcs-16(1:1)2020openalex-snapshot
On the logical complexity of cyclic arithmetic
inferred← citeshttps://doi.org/10.23638/lmcs-17(2:12)2021openalex-snapshot
DRAT and Propagation Redundancy Proofs Without New Variables
inferred← citeshttps://doi.org/10.29007/2b78openalex-snapshot
Beyond DRAT: Challenges in Certifying UNSAT
inferred← citeshttps://doi.org/10.36253/979-12-215-0778-2.12openalex-snapshot
Sequent calculus and complexity theory
inferred← citeshttps://doi.org/10.4086/toc.2022.v018a004openalex-snapshot
inferred← citeshttps://doi.org/10.4171/owr/2006/52openalex-snapshot
Mini-workshop: Logic, Combinatorics and Independence Results
inferred← citeshttps://doi.org/10.4230/lipics.ccc.2024.33openalex-snapshot
Failure of Feasible Disjunction Property for $k$-DNF Resolution and NP-hardness of Automating It
inferred← citeshttps://doi.org/10.4230/lipics.mfcs.2018.70openalex-snapshot
Tree Tribes and Lower Bounds for Switching Lemmas
inferred← citeshttps://doi.org/10.48550/arxiv.0810.5056openalex-snapshot
P is not equal to NP
inferred← citeshttps://doi.org/10.48550/arxiv.1311.2501openalex-snapshot
A reduction of proof complexity to computational complexity for $AC^0[p]$ Frege systems
inferred← citeshttps://doi.org/10.48550/arxiv.1609.04218openalex-snapshot
The complexity of propositional proofs
inferred← citeshttps://doi.org/10.48550/arxiv.1811.01421openalex-snapshot
Why Extension-Based Proofs Fail
inferred← citeshttps://doi.org/10.48550/arxiv.1909.03691openalex-snapshot
The Cook-Reckhow definition
inferred← citeshttps://doi.org/10.5821/dissertation-2117-94931openalex-snapshot
On the complexity of resolution-based proof systems
inferred← citeshttps://doi.org/10.7146/brics.v1i21.21646openalex-snapshot
Count(q) does not imply Count(p)
inferred← citeshttps://doi.org/10.7146/brics.v1i26.21640openalex-snapshot
Count(q) versus the Pigeon-Hole Principle
inferred← citeshttps://doi.org/10.7146/brics.v6i29.20098openalex-snapshot
A Complexity Gap for Tree-Resolution
inferred← citeshttps://doi.org/10.7282/t32b8wngopenalex-snapshot
Some applications of randomness in computational complexity
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