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» On optimal proof systems and logics for PTIME
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ECCC
2010
82views more  ECCC 2010»
13 years 7 months ago
On optimal proof systems and logics for PTIME
We prove that TAUT has a p-optimal proof system if and only if a logic related to least fixed-point logic captures polynomial time on all finite structures. Furthermore, we show t...
Yijia Chen, Jörg Flum
ICALP
2010
Springer
14 years 10 days ago
On p-Optimal Proof Systems and Logics for PTIME
We prove that TAUT has a p-optimal proof system if and only if a logic related to least fixed-point logic captures polynomial time on all finite structures. Furthermore, we show ...
Yijia Chen, Jörg Flum
ICTCS
2003
Springer
14 years 22 days ago
On the Computational Complexity of Cut-Elimination in Linear Logic
Abstract. Given two proofs in a logical system with a confluent cutelimination procedure, the cut-elimination problem (CEP) is to decide whether these proofs reduce to the same no...
Harry G. Mairson, Kazushige Terui
CSL
2010
Springer
13 years 8 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
SAS
2009
Springer
175views Formal Methods» more  SAS 2009»
14 years 8 months ago
Automatic Parallelization and Optimization of Programs by Proof Rewriting
We show how, given a program and its separation logic proof, one can parallelize and optimize this program and transform its proof simultaneously to obtain a proven parallelized an...
Clément Hurlin