Proof-search in implicative linear logic as a matching problem

Philippe de Groote 1
1 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We reduce the provability of fragments of multiplicative linear logic to matching problems consisting in finding a one-one-correspondence between two sets of first-order terms together with a unifier that equates the corresponding terms. According to the kind of structure to which these first-order terms belong our matching problem corresponds to provability in the implicative fragment of multiplicative linear logic, in the Lambek calculus, or in the non-associative Lambek calculus.
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Conference papers
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Submitted on : Tuesday, September 26, 2006 - 8:51:57 AM
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Philippe de Groote. Proof-search in implicative linear logic as a matching problem. International Conference on Logic for Programming & Automated Reasoning - LPAR'2000, 2000, Reunion Island, France, pp.257-274. ⟨inria-00099221⟩

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