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» On the Automatizability of Resolution and Related Propositio...
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JSYML
2008
73views more  JSYML 2008»
14 years 9 months ago
Examining fragments of the quantified propositional calculus
When restricted to proving q i formulas, the quantified propositional proof system G i is closely related to the b i theorems of Buss's theory Si 2. Namely, G i has polynomial...
Steven Perron
LOGCOM
2002
105views more  LOGCOM 2002»
14 years 9 months ago
Labelled Tableaux for Nonmonotonic Reasoning: Cumulative Consequence Relations
In this paper we present a labelled proof method for computing nonmonotonic consequence relations in a conditional logic setting. The method exploits the strong connection between...
Alberto Artosi, Guido Governatori, Antonino Rotolo
94
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TABLEAUX
2000
Springer
15 years 1 months ago
A Labelled Tableau Calculus for Nonmonotonic (Cumulative) Consequence Relations
Abstract. In this paper we present a labelled proof method for computing nonmonotonic consequence relations in a conditional logic setting. The method is based on the usual possibl...
Alberto Artosi, Guido Governatori, Antonino Rotolo
CSL
2007
Springer
15 years 3 months ago
Game Characterizations and the PSPACE-Completeness of Tree Resolution Space
The Prover/Delayer game is a combinatorial game that can be used to prove upper and lower bounds on the size of Tree Resolution proofs, and also perfectly characterizes the space ...
Alexander Hertel, Alasdair Urquhart
CORR
2010
Springer
194views Education» more  CORR 2010»
14 years 6 months ago
A Focused Sequent Calculus Framework for Proof Search in Pure Type Systems
Basic proof search tactics in logic and type theory can be seen as the root-rst applications of rules in an appropriate sequent calculus, preferably without the redundancies gener...
Stéphane Lengrand, Roy Dyckhoff, James McKi...