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» Proof search and Co-NP completeness for many-valued logics
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CSL
2007
Springer
13 years 10 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
CSL
2007
Springer
13 years 10 months ago
Focusing and Polarization in Intuitionistic Logic
A focused proof system provides a normal form to cut-free proofs that structures the application of invertible and non-invertible inference rules. The focused proof system of Andre...
Chuck Liang, Dale Miller
LPAR
2012
Springer
12 years 3 days ago
E-Matching with Free Variables
E-matching is the most commonly used technique to handle quantifiers in SMT solvers. It works by identifying characteristic subexpressions of quantified formulae, named triggers,...
Philipp Rümmer
CADE
2006
Springer
14 years 4 months ago
Geometric Resolution: A Proof Procedure Based on Finite Model Search
We present a proof procedure that is complete for first-order logic, but which can also be used when searching for finite models. The procedure uses a normal form which is based on...
Hans de Nivelle, Jia Meng
TABLEAUX
2009
Springer
13 years 9 months ago
Proof Search and Counter-Model Construction for Bi-intuitionistic Propositional Logic with Labelled Sequents
Abstract. Bi-intuitionistic logic is a conservative extension of intuitionistic logic with a connective dual to implication, called exclusion. We present a sound and complete cut-f...
Luis Pinto, Tarmo Uustalu