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LATA
2009
Springer
15 years 7 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 ...
107
Voted
CSL
2010
Springer
15 years 1 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
121
Voted
SAT
2009
Springer
153views Hardware» more  SAT 2009»
15 years 7 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
74
Voted
APLAS
2008
ACM
15 years 2 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...
85
Voted
COCO
2009
Springer
117views Algorithms» more  COCO 2009»
15 years 7 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