Title
Backdoors for Linear Temporal Logic.
Abstract
In the present paper, we introduce the backdoor set approach into the field of temporal logic for the global fragment of linear temporal logic. We study the parameterized complexity of the satisfiability problem parameterized 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/future/always, and the combination of them. Detection is shown to be fixed-parameter tractable whereas the complexity of evaluation behaves differently. 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
DOI
Venue
2019
10.1007/s00453-018-0515-5
IPEC
Keywords
DocType
Volume
Linear temporal logic,Parameterized complexity,Backdoor sets
Journal
81.0
Issue
ISSN
Citations 
SP2
0178-4617
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Arne Meier112619.00
Sebastian Ordyniak217630.27
Ramanujan Sridharan300.34
Irena Schindler420.72