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LATA
2009
Springer
13 years 11 months ago
Nondeterministic Instance Complexity and Proof Systems with Advice
Abstract. Motivated by strong Karp-Lipton collapse results in bounded arithmetic, Cook and Kraj´ıˇcek [7] have recently introduced the notion of propositional proof systems with...
Olaf Beyersdorff, Johannes Köbler, Sebastian ...
CSL
2010
Springer
13 years 5 months ago
On Slicewise Monotone Parameterized Problems and Optimal Proof Systems for TAUT
Abstract. For a reasonable sound and complete proof calculus for firstorder logic consider the problem to decide, given a sentence of firstorder logic and a natural number n, whet...
Yijia Chen, Jörg Flum
SAT
2009
Springer
153views Hardware» more  SAT 2009»
13 years 11 months ago
Does Advice Help to Prove Propositional Tautologies?
One of the starting points of propositional proof complexity is the seminal paper by Cook and Reckhow [6], where they defined propositional proof systems as poly-time computable f...
Olaf Beyersdorff, Sebastian Müller
APLAS
2008
ACM
13 years 6 months ago
The Complexity of Coverage
Abstract. We study the problem of generating a test sequence that achieves maximal coverage for a reactive system under test. We formulate the problem as a repeated game between th...
Krishnendu Chatterjee, Luca de Alfaro, Rupak Majum...
COCO
2009
Springer
117views Algorithms» more  COCO 2009»
13 years 11 months ago
The Proof Complexity of Polynomial Identities
Devising an efficient deterministic – or even a nondeterministic sub-exponential time – algorithm for testing polynomial identities is a fundamental problem in algebraic comp...
Pavel Hrubes, Iddo Tzameret