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» Logics with an existential modality
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APAL
2010
97views more  APAL 2010»
13 years 11 months ago
A modal logic framework for reasoning about comparative distances and topology
We propose and investigate a uniform modal logic framework for reasoning about topology and relative distance in metric and more general distance spaces, thus enabling the compari...
Mikhail Sheremet, Frank Wolter, Michael Zakharyasc...
IJCAI
2007
14 years 12 days ago
From Answer Set Logic Programming to Circumscription via Logic of GK
We first provide a mapping from Pearce’s equilibrium logic and Ferraris’s general logic programs to Lin and Shoham’s logic of knowledge and justified assumptions, a nonmon...
Fangzhen Lin, Yi Zhou
AIML
2008
14 years 12 days ago
Modal logics for mereotopological relations
We present a complete axiomatization of a logic denoted by MTML (Mereo-Topological Modal Logic) based on the following set of mereotopological relations: part-of, overlap, underlap...
Yavor Nenov, Dimiter Vakarelov
TABLEAUX
2009
Springer
14 years 5 months ago
A Tableau-Based System for Spatial Reasoning about Directional Relations
Abstract. The management of qualitative spatial information is an important research area in computer science and AI. Modal logic provides a natural framework for the formalization...
Davide Bresolin, Angelo Montanari, Pietro Sala, Gu...
MFCS
1999
Springer
14 years 3 months ago
A New Space Bound for the Modal Logics K4, KD4 and S4
We propose so called clausal tableau systems for the common modal logics K4, KD4 and S4. Basing on these systems, we give more efficient decision procedures than those hitherto kno...
Linh Anh Nguyen