Title :
On the consistency problem for the INDU calculus
Author :
Balbiani, Philippe ; Condotta, Jean-Francçis ; Ligozat, Gérard
Author_Institution :
IRIT, Toulouse, France
Abstract :
In this paper, we further investigate the consistency problem for the qualitative temporal calculus INDU introduced by A. K. Pujari et al. (1999). We prove the intractability of the consistency problem for the subset of preconvex relations. On the other hand, we show the tractability of strongly preconvex relations. Furthermore, we also define another interesting set of relations for which the consistency problem can be decided by a method similar to the usual path-consistency method.
Keywords :
computational complexity; process algebra; temporal logic; temporal reasoning; Horn classes; INDU calculus; consistency problem; geometrical approach; path-consistency method; preconvex relations; qualitative temporal calculus; syntactic approach; Algebra; Calculus; Logic functions; Natural languages;
Conference_Titel :
Temporal Representation and Reasoning, 2003 and Fourth International Conference on Temporal Logic. Proceedings. 10th International Symposium on
Print_ISBN :
0-7695-1912-1
DOI :
10.1109/TIME.2003.1214897
