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Classical non-associative Lambek calculus - MaRDI portal

Classical non-associative Lambek calculus (Q1850952)

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scientific article; zbMATH DE number 1845368
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Classical non-associative Lambek calculus
scientific article; zbMATH DE number 1845368

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    Classical non-associative Lambek calculus (English)
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    15 December 2002
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    The aim of the paper is to present CNL, a classical version of the nonassociative Lambek calculus NL. CNL is presented as a sequent calculus, along with its associated theory of proof-nets. This theory includes a correctness criterion, which is defined on the cut-free proof-structure. It is proved that CNL is decidable in polynomial time. It is also shown that CNL can be treated as a conservative extension of NL.
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    non-associative Lambek calculus
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    linear logic
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    proof-net
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    sequent calculus
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