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MFCS
1997
Springer
14 years 23 days ago
Resolution Proofs, Exponential Bounds, and Kolmogorov Complexity
We prove an exponential lower bound for the length of any resolution proof for the same set of clauses as the one used by Urquhart [13]. Our contribution is a significant simpli...
Uwe Schöning
LATINCRYPT
2010
13 years 7 months ago
On the Round Complexity of Zero-Knowledge Proofs Based on One-Way Permutations
We consider the following problem: can we construct constant-round zero-knowledge proofs (with negligible soundness) for NP assuming only the existence of one-way permutations? We...
S. Dov Gordon, Hoeteck Wee, David Xiao, Arkady Yer...
CSL
2006
Springer
14 years 9 days ago
Logical Omniscience Via Proof Complexity
The Hintikka-style modal logic approach to knowledge has a well-known defect of logical omniscience, i.e., an unrealistic feature that an agent knows all logical consequences of he...
Sergei N. Artëmov, Roman Kuznets
AML
2011
204views Mathematics» more  AML 2011»
13 years 3 months ago
A note on propositional proof complexity of some Ramsey-type statements
Any valid Ramsey statement n −→ (k)2 2 can be encoded into a DNF formula RAM(n, k) of size O(nk) and with terms of size k 2 . Let rk be the minimal n for which the statement h...
Jan Krajícek
SAT
2010
Springer
178views Hardware» more  SAT 2010»
14 years 15 days ago
Proof Complexity of Propositional Default Logic
Default logic is one of the most popular and successful formalisms for non-monotonic reasoning. In 2002, Bonatti and Olivetti introduced several sequent calculi for credulous and s...
Olaf Beyersdorff, Arne Meier, Sebastian Mülle...