Title
Strong Backdoors for Linear Temporal Logic.
Abstract
In the present paper we introduce the notion of strong backdoors into the field of temporal logic for the CNF-fragment of linear temporal logic introduced by Fisher. We study the parameterised complexity of the satisfiability problem parameterised by the size of the backdoor. We distinguish between backdoor detection and evaluation of backdoors into the fragments of horn and krom formulas. Here we classify the operator fragments of globally-operators for past or future, and the combination of both. Detection is shown to be in FPT whereas the complexity of evaluation behaves different. We show that for krom formulas the problem is paraNP-complete. For horn formulas the complexity is shown to be either fixed parameter tractable or paraNP-complete depending on the considered operator fragment.
Year
Venue
Field
2016
arXiv: Logic in Computer Science
Discrete mathematics,Boolean satisfiability problem,Algorithm,Linear temporal logic,Backdoor,Operator (computer programming),Temporal logic,Mathematics
DocType
Volume
Citations 
Journal
abs/1602.04934
0
PageRank 
References 
Authors
0.34
12
4
Name
Order
Citations
PageRank
Arne Meier112619.00
Sebastian Ordyniak217630.27
M. S. Ramanujan322228.33
Irena Schindler400.34