English

Ticket Entailment is decidable

Logic in Computer Science 2012-07-06 v6

Abstract

We prove the decidability of Ticket Entailment. Raised by Anderson and Belnap within the framework of relevance logic, this question is equivalent to the question of the decidability of type inhabitation in simply-typed combinatory logic with the partial basis BB'IW. We solve the equivalent problem of type inhabitation for the restriction of simply-typed lambda-calculus to hereditarily right-maximal terms.

Cite

@article{arxiv.1106.1875,
  title  = {Ticket Entailment is decidable},
  author = {Vincent Padovani},
  journal= {arXiv preprint arXiv:1106.1875},
  year   = {2012}
}

Comments

Submitted on 06/09/2010 to Math. Struct. in Comp. Science. Accepted for publication on 12/19/2011. Last revision on 03/06/2012

R2 v1 2026-06-21T18:20:09.571Z