Classical Non-Associative Lambek Calculus
Studia Logica 71 (3):355 - 388 (2002)
| Abstract | We introduce non-associative linear logic, which may be seen as the classical version of the non-associative Lambek calculus. We define its sequent calculus, its theory of proof-nets, for which we give a correctness criterion and a sequentialization theorem, and we show proof search in it is polynomial. | |||||||||
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Philippe de Groote & François Lamarche (2002). Classical Non-Associative Lambek Calculus. Studia Logica 71 (3):355-388.
Maria Bulińska (2005). The Pentus Theorem for Lambek Calculus with Simple Nonlogical Axioms. Studia Logica 81 (1):43 - 59.
Heinrich Wansing (2002). A Rule-Extension of the Non-Associative Lambek Calculus. Studia Logica 71 (3):443-451.
Richard Moot & Quintijn Puite (2002). Proof Nets for the Multimodal Lambek Calculus. Studia Logica 71 (3):415-442.
Maria Bulińska (2009). On the Complexity of Nonassociative Lambek Calculus with Unit. Studia Logica 93 (1).
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Erik Aarts (1994). Proving Theorems of the Second Order Lambek Calculus in Polynomial Time. Studia Logica 53 (3):373 - 387.
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Makoto Kanazawa (1992). The Lambek Calculus Enriched with Additional Connectives. Journal of Logic, Language and Information 1 (2).
V. Michele Abrusci & Elena Maringelli (1998). A New Correctness Criterion for Cyclic Proof Nets. Journal of Logic, Language and Information 7 (4):449-459.
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