Improved bounds on the Weak Pigeonhole Principle and infinitely many primes from weaker axioms

Author:

Atserias Albert

Publisher

Elsevier BV

Subject

General Computer Science,Theoretical Computer Science

Reference24 articles.

1. The complexity of the pigeonhole principle;Ajtai,1988

2. Combinatorial principles in elementary number theory;Berarducci;Ann. Pure Appl. Logic,1991

3. Polynomial size proofs of the propositional pigeonhole principle;Buss;J. Symbol. Logic,1997

4. Resolution proofs of generalized pigeonhole principles;Buss;Theoret. Comput. Sci.,1988

5. The relative efficiency of propositional proof systems;Cook;J. Symbol. Logic,1979

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1. Proof Complexity and the Binary Encoding of Combinatorial Principles;SIAM Journal on Computing;2024-06-24

2. Iterated multiplication in $$ VTC ^0$$;Archive for Mathematical Logic;2022-01-04

3. Resolution and the Binary Encoding of Combinatorial Principles;LEIBNIZ INT PR INFOR;2019

4. LOWER BOUNDS FOR DNF-REFUTATIONS OF A RELATIVIZED WEAK PIGEONHOLE PRINCIPLE;The Journal of Symbolic Logic;2015-04-22

5. Lower Bounds for DNF-refutations of a Relativized Weak Pigeonhole Principle;2013 IEEE Conference on Computational Complexity;2013-06

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