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» Logic of Proofs for Bounded Arithmetic
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MLQ
1998
61views more  MLQ 1998»
14 years 11 months ago
Extracting Algorithms from Intuitionistic Proofs
This paper presents a new method – which does not rely on the cut-elimination theorem – for characterizing the provably total functions of certain intuitionistic subsystems of ...
Fernando Ferreira, António Marques
SAT
2010
Springer
178views Hardware» more  SAT 2010»
15 years 3 months 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...
CSL
2010
Springer
15 years 23 days 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
CSL
2006
Springer
15 years 3 months 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
LICS
2008
IEEE
15 years 6 months ago
On the Computational Complexity of Cut-Reduction
Using appropriate notation systems for proofs, cutreduction can often be rendered feasible on these notations. Explicit bounds can be given. Developing a suitable notation system ...
Klaus Aehlig, Arnold Beckmann