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ICALP
2010
Springer
13 years 2 months ago
Maximal Decidable Fragments of Halpern and Shoham's Modal Logic of Intervals
In this paper, we focus our attention on the fragment of Halpern and Shoham's modal logic of intervals (HS) that features four modal operators corresponding to the relations &...
Angelo Montanari, Gabriele Puppis, Pietro Sala
ICALP
2010
Springer
13 years 6 months ago
B and D Are Enough to Make the Halpern-Shoham Logic Undecidable
Abstract. The HalpernShoham logic is a modal logic of time intervals. Some eort has been put in last ten years to classify fragments of this beautiful logic with respect to decid...
Jerzy Marcinkowski, Jakub Michaliszyn, Emanuel Kie...
ENTCS
2010
120views more  ENTCS 2010»
13 years 4 months ago
Undecidability of the Logic of Overlap Relation over Discrete Linear Orderings
The validity/satisfiability problem for most propositional interval temporal logics is (highly) undecidable, under very weak assumptions on the class of interval structures in whi...
Davide Bresolin, Dario Della Monica, Valentin Gora...
TIME
2009
IEEE
13 years 11 months ago
Undecidability of Interval Temporal Logics with the Overlap Modality
We investigate fragments of Halpern-Shoham’s interval logic HS involving the modal operators for the relations of left or right overlap of intervals. We prove that most of these...
Davide Bresolin, Dario Della Monica, Valentin Gora...
LOGCOM
2007
91views more  LOGCOM 2007»
13 years 4 months ago
A New Modal Approach to the Logic of Intervals
In Artificial Intelligence there is a need for reasoning about continuous processes, where assertions refer to time intervals rather than time points. Taking our lead from van Ben...
Altaf Hussain