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Ticket Entailment is decidable


We prove the decidability of the logic T of Ticket Entailment. This issue was first raised by Anderson and Belnap within the framework of relevance logic, and 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.

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J. Barwise (ed.) (1977) Handbook of Mathematical Logic, Studies in Logic and Foundations of Mathematics, North-Holland.

K. Bimbó (2005) Types of I-free hereditary right maximal terms. Journal of Philosophical Logic 34 (5-6) 607620.

S. Broda , L. Damas , M. Finger and P. S. Silva e Silva (2004) The decidability of a fragment of BB′IW-logic. Theoretical Computer Science 318 (3) 373408.

M. W. Bunder (1996) Lambda Terms Definable as Combinators. Theoretical Computer Science 169 (1) 321.

J. B. Kruskal (1972) The theory of well-quasi-ordering: A frequently discovered concept. Journal of Combinatorial Theory, Series A 13 (3) 297305.

P.-A. Melliès (1998) On a duality between Kruskal and Dershowitz theorems. In: K. G Larsen , S. Skyum and G. Winskel (eds.) ICALP. Springer-Verlag Lecture Notes in Computer Science 1443 518529.

P. Trigg , J. R. Hindley and M. W. Bunder (1994) Combinatory abstraction using B, B′ and friends. Theoretical Computer Science 135 (2) 405422.

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Mathematical Structures in Computer Science
  • ISSN: 0960-1295
  • EISSN: 1469-8072
  • URL: /core/journals/mathematical-structures-in-computer-science
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