English

A Sequent Calculus and a Theorem Prover for Standard Conditional Logics

Logic in Computer Science 2007-05-23 v1 Artificial Intelligence

Abstract

In this paper we present a cut-free sequent calculus, called SeqS, for some standard conditional logics, namely CK, CK+ID, CK+MP and CK+MP+ID. The calculus uses labels and transition formulas and can be used to prove decidability and space complexity bounds for the respective logics. We also present CondLean, a theorem prover for these logics implementing SeqS calculi written in SICStus Prolog.

Keywords

Cite

@article{arxiv.cs/0407064,
  title  = {A Sequent Calculus and a Theorem Prover for Standard Conditional Logics},
  author = {Nicola Olivetti and Gian Luca Pozzato and Camilla Schwind},
  journal= {arXiv preprint arXiv:cs/0407064},
  year   = {2007}
}

Comments

45 pages with 2 figures, uses prooftree.sty