Title
Finite Satisfiability of Unary Negation Fragment with Transitivity.
Abstract
We show that the finite satisfiability problem for the unary negation fragment with arbitrary number of transitive relations is decidable and 2-ExpTime-complete. Our result actually holds for a more general setting in which one can require that some binary symbols are interpreted as arbitrary transitive relations, some as partial orders and some as equivalences. We also consider finite satisfiability of various extensions of our primary logic, in particular capturing the concepts of nominals and role hierarchies known from description logic. As the unary negation fragment can express unions of conjunctive queries our results have interesting implications for the problem of finite query answering, both in the classical scenario and in the description logics setting.
Year
Venue
Field
2018
MFCS
Discrete mathematics,Combinatorics,Finite satisfiability,Negation,Unary operation,Computer science,Transitive relation
DocType
Volume
Citations 
Journal
abs/1809.03245
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Daniel Danielski100.68
Emanuel Kieronski211413.85