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» On p-Optimal Proof Systems and Logics for PTIME
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ICALP
2010
Springer
13 years 9 months 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
ECCC
2010
82views more  ECCC 2010»
13 years 5 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
ICTCS
2003
Springer
13 years 10 months 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