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LMCS
2006
126views more  LMCS 2006»
13 years 4 months ago
The Completeness of Propositional Resolution: A Simple and Constructive Proof
It is well known that the resolution method (for propositional logic) is complete. However, completeness proofs found in the literature use an argument by contradiction showing tha...
Jean H. Gallier
JETAI
2008
86views more  JETAI 2008»
13 years 4 months ago
Weighting strategy for non-clausal resolution
Abstract. This paper describes a proof search procedure for propositional nonclausal resolution based on a new weighting strategy that utilizes search methods for propositional sat...
Zbigniew Stachniak, Anton Belov
APAL
1999
88views more  APAL 1999»
13 years 4 months ago
A Simple Propositional S5 Tableau System
We give a sound and complete propositional S5 tableau system of a particularly simple sort, having an easy completeness proof. It sheds light on why the satisfiability problem for...
Melvin Fitting
CIE
2010
Springer
13 years 6 months ago
The Limits of Tractability in Resolution-Based Propositional Proof Systems
We study classes of propositional contradictions based on the Least Number Principle (LNP) in the refutation system of Resolution and its generalisations with bounded conjunction, ...
Stefan S. Dantchev, Barnaby Martin
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