ACL '89 Proceedings of the 27th annual meeting on Association for Computational Linguistics
Normal form theorem proving for the Lambek Calculus
COLING '90 Proceedings of the 13th conference on Computational linguistics - Volume 2
On anaphora and the binding principles in categorial grammar
WoLLIC'10 Proceedings of the 17th international conference on Logic, language, information and computation
Journal of Logic, Language and Information
Displacement logic for anaphora
Journal of Computer and System Sciences
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The displacement calculus of Morrill, Valentín and Fadda (2011)[12] forms a foundation for type logical categorial grammar in which discontinuity is accommodated alongside continuity in a logic which is free of structural rules and which enjoys Cut-elimination, the subformula property, decidability, and the finite reading property. The calculus deploys a new kind of sequent calculus which we call hypersequent calculus in which types and configurations have not only external context but also internal context, in the case that they are discontinuous. In this paper we consider the logic programming of backward chaining hypersequent proof search for the displacement calculus. We show how focusing eliminates all spurious ambiguity in the fragment without antecedent tensors and we illustrate coding of the essential features of displacement. In this way we lay a basis for parsing/theorem proving for this calculus, which is being used and extended in a system CatLog currently under development.