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» Proof Systems for Effectively Propositional Logic
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JSYML
2002
170views more  JSYML 2002»
13 years 7 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»
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
LICS
2010
IEEE
13 years 5 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
13 years 8 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
13 years 11 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