Ticket Entailment is decidable

Vincent Padovani (1)

1 PPS - Preuves, Programmes et Systèmes

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.

Mots clés: relevance logic; ticket entailment; decidability

Domaines: Logique en informatique [cs.LO]

Vincent Padovani. Ticket Entailment is decidable. 2010. ⟨hal-00599342v6⟩