Advertisement
Published in:
2015 | OriginalPaper | Chapter
On the Complexity of Fragments of the Modal Logic of Allen’s Relations over Dense Structures
Authors : Davide Bresolin, Dario Della Monica, Angelo Montanari, Pietro Sala, Guido Sciavicco
Published in: Language and Automata Theory and Applications
Publisher: Springer International Publishing
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
Interval temporal logics provide a natural framework for temporal reasoning about interval structures over linearly ordered domains, where intervals are taken as the primitive ontological entities. Their computational behaviour and expressive power mainly depend on two parameters: the set of modalities they feature and the linear orders over which they are interpreted. In this paper, we consider all fragments of Halpern and Shoham’s interval temporal logic HS with a decidable satisfiability problem over the class of all dense linear orders, and we provide a complete classification of them in terms of their complexity and expressiveness by solving the last two open cases.