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AIML
2006
13 years 9 months ago
Deep Sequent Systems for Modal Logic
We see a systematic set of cut-free axiomatisations for all the basic normal modal logics formed by some combination the axioms d, t, b, 4, 5. They employ a form of deep inference ...
Kai Brünnler
AIML
2006
13 years 9 months ago
A General Semantics for Quantified Modal Logic
In [9] we developed a semantics for quantified relevant logic that uses general frames. In this paper, we adapt that model theory to treat quantified modal logics, giving a complet...
Robert Goldblatt, Edwin D. Mares
JANCL
2006
105views more  JANCL 2006»
13 years 7 months ago
BDD-based decision procedures for the modal logic K
We describe BDD-based decision procedures for the modal logic K. Our approach is inspired by the automata-theoretic approach, but we avoid explicit automata construction. Instead, ...
Guoqiang Pan, Ulrike Sattler, Moshe Y. Vardi
KI
1999
Springer
14 years 1 days ago
On the Translation of Qualitative Spatial Reasoning Problems into Modal Logics
Among the formalisms for qualitative spatial reasoning, the Region Connection Calculus and its variant, the constraint algebra RCC8, have received particular attention recently. A...
Werner Nutt
TABLEAUX
2009
Springer
14 years 2 months ago
Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies
We present a terminating tableau calculus for graded hybrid logic with global modalities, reflexivity, transitivity and role hierarchies. Termination of the system is achieved thr...
Mark Kaminski, Sigurd Schneider, Gert Smolka