Title
Equivalence closure in the two-variable guarded fragment.
Abstract
We consider the satisfiability and finite satisfiability problems for the extension of the two-variable guarded fragment in which an equivalence closure operator can be applied to two distinguished binary predicates. We show that the satisfiability and finite satisfiability problems for this logic are 2-ExpTime-complete. This contrasts with an earlier result that the corresponding problems for the full two-variable logic with equivalence closures of two binary predicates are 2-NExpTime-complete.
Year
DOI
Venue
2017
10.1093/logcom/exv075
JOURNAL OF LOGIC AND COMPUTATION
Keywords
Field
DocType
Satisfiability problem,computational complexity,decidability,guarded fragment,equivalence closure
Discrete mathematics,Combinatorics,Closure operator,Boolean satisfiability problem,Satisfiability,Algorithm,Decidability,Equivalence (measure theory),Predicate (grammar),Mathematics,Binary number,Computational complexity theory
Journal
Volume
Issue
ISSN
27
4
0955-792X
Citations 
PageRank 
References 
0
0.34
10
Authors
3
Name
Order
Citations
PageRank
Emanuel Kieronski111413.85
Ian Pratt-Hartmann234735.43
Lidia Tendera322020.80