Title
Point algebras for temporal reasoning: algorithms and complexity
Abstract
We investigate the computational complexity of temporal reasoning in different time models such as totally-ordered, partially-ordered and branching time. Our main result concerns the satisfiability problem for point algebras and point algebras extended with disjunctions--for these problems, we identify all tractable subclasses. We also provide a number of additional results; for instance, we present a new time model suitable for reasoning about systems with a bounded number of unsynchronized clocks, we investigate connections with spatial reasoning and we present improved algorithms for deciding satisfiability of the tractable point algebras.
Year
DOI
Venue
2003
10.1016/S0004-3702(03)00075-4
Artif. Intell.
Keywords
Field
DocType
satisfiability problem,additional result,bounded number,different time model,tractable subclasses,new time model,tractable point algebra,spatial reasoning,temporal reasoning,point algebra,satisfiability,total order,constraint satisfaction,computational complexity,partial order
Discrete mathematics,Constraint satisfaction,Spatial intelligence,Boolean satisfiability problem,Satisfiability,Algorithm,Reasoning system,Mathematics,Bounded function,Branching (version control),Computational complexity theory
Journal
Volume
Issue
ISSN
149
2
0004-3702
Citations 
PageRank 
References 
20
1.39
33
Authors
2
Name
Order
Citations
PageRank
Mathias Broxvall130125.54
Peter Jonsson270054.04