Modal logics are widely used in computer science. The complexity of modal satisfiability problems has been investigated since the 1970s, usually proving results on a case-by-case b...
The standard reasoning problem, concept satisfiability, in the basic description logic ALC is PSPACE-complete, and it is EXPTIMEcomplete in the presence of unrestricted axioms. Sev...
Dominance constraints are logical descriptions of trees that are widely used in computational linguistics. Their general satisfiability problem is known to be NP-complete. Here we...
A fragment of linear time temporal logic (LTL) is presented. It is proved that the satisfiability problem for this fragment is NPcomplete. The fragment is larger than previously kn...
We study and give a summary of the complexity of 15 basic normal monomodal logics under the restriction to the Horn fragment and/or bounded modal depth. As new results, we show tha...
We consider an extension of integer linear arithmetic with a "star" operator takes closure under vector addition of the solution set of a linear arithmetic subformula. We...
Motivated by description logics, we investigate what happens to the complexity of modal satisfiability problems if we only allow formulas built from literals, , 3, and 2. Previous...
The ability to reduce either the number of variables or clauses in instances of the Satisfiability problem (SAT) impacts the expected computational effort of solving a given instan...
Abstract. Logics of knowledge have important applications for reasoning about security protocols and multi-agent systems. We extend the semantics for the logic of necessity with lo...
In this paper, we tackle the satisfiability problem for multi-context systems. First, we establish a satisfiability algorithm based on an encoding into propositional logic. Then, w...