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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...
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...
ECAI
2010
Springer
13 years 5 months ago
Metric Propositional Neighborhood Logics: Expressiveness, Decidability, and Undecidability
Abstract. Interval temporal logics formalize reasoning about interval structures over (usually) linearly ordered domains, where time intervals are the primitive ontological entitie...
Davide Bresolin, Dario Della Monica, Valentin Gora...
IANDC
2007
127views more  IANDC 2007»
13 years 4 months ago
Temporal logics with incommensurable distances are undecidable
Temporal logic based on the two modalities “Since” and “Until” (TL) is the most popular logic for the specification of reactive systems. It is often called the linear tim...
Alexander Rabinovich
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...