English

The Complexity of Clausal Fragments of LTL

Logic in Computer Science 2013-10-11 v4 Computational Complexity

Abstract

We introduce and investigate a number of fragments of propo- sitional temporal logic LTL over the flow of time (Z, <). The fragments are defined in terms of the available temporal operators and the structure of the clausal normal form of the temporal formulas. We determine the computational complexity of the satisfiability problem for each of the fragments, which ranges from NLogSpace to PTime, NP and PSpace.

Keywords

Cite

@article{arxiv.1306.5088,
  title  = {The Complexity of Clausal Fragments of LTL},
  author = {A. Artale and R. Kontchakov and V. Ryzhikov and M. Zakharyaschev},
  journal= {arXiv preprint arXiv:1306.5088},
  year   = {2013}
}

Comments

arXiv admin note: text overlap with arXiv:1209.5571