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» A Unified Completeness Theorem for Quantified Modal Logics
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AML
2006
49views more  AML 2006»
13 years 4 months ago
No Escape from Vardanyan's theorem
Vardanyan's Theorem states that the set of PA-valid principles of Quantified Modal Logic, QML, is complete 0 2. We generalize this result to a wide class of theories. The cru...
Albert Visser, Maartje de Jonge
JANCL
2008
170views more  JANCL 2008»
13 years 4 months ago
Algorithmic correspondence and completeness in modal logic
ABSTRACT. In [CON 06b] we introduced the algorithm SQEMA for computing first-order equivalents and proving canonicity of modal formulae, and thus established a very general corresp...
Willem Conradie, Valentin Goranko
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
JSYML
2002
114views more  JSYML 2002»
13 years 4 months ago
Interpolation for First Order S5
An interpolation theorem holds for many standard modal logics, but first order S5 is a prominent example of a logic for which it fails. In this paper it is shown that a first orde...
Melvin Fitting