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» Proof Systems for Effectively Propositional Logic
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JSYML
2002
170views more  JSYML 2002»
14 years 9 months ago
Representability in Second-Order Propositional Poly-Modal Logic
A propositional system of modal logic is second-order if it contains quantifiers p and p, which, in the standard interpretation, are construed as ranging over sets of possible worl...
Gian Aldo Antonelli, Richmond H. Thomason
ECCC
2010
82views more  ECCC 2010»
14 years 9 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
LICS
2010
IEEE
14 years 8 months ago
Breaking Paths in Atomic Flows for Classical Logic
This work belongs to a wider effort aimed at eliminating syntactic bureaucracy from proof systems. In this paper, we present a novel cut elimination procedure for classical propos...
Alessio Guglielmi, Tom Gundersen, Lutz Straß...
AIML
2004
14 years 11 months ago
A Systematic Proof Theory for Several Modal Logics
The family of normal propositional modal logic systems are given a highly systematic organisation by their model theory. This model theory is generally given using Kripkean frame s...
Charles Stewart, Phiniki Stouppa
LICS
1991
IEEE
15 years 1 months ago
On the Deduction Rule and the Number of Proof Lines
d Abstract) Maria Luisa Bonet∗ Samuel R. Buss∗ Department of Mathematics Department of Mathematics U.C. Berkeley U.C. San Diego Berkeley, California 94720 La Jolla, California ...
Maria Luisa Bonet, Samuel R. Buss