In this paper I propose linguistic applications of non-commutative logic (NL) developed by Abrusci and Ruet, which constitutes an extension of commutative and non-commutative (cyclic) linear logic. We apply the commutative connec- tives of NL to refine the description of syntactic categories given in Lambek grammars and we use the structural rules of NL to manage the relationship between commutative and non-commutative contexts. In particular, we con- sider local permutation phenomena and unbounded dependencies in Italian, such as topicalization. Moreover a semantic treatment based on proof nets will be given.
Linguistic Applications of Non-commutative Logic
PORELLO D
2008-01-01
Abstract
In this paper I propose linguistic applications of non-commutative logic (NL) developed by Abrusci and Ruet, which constitutes an extension of commutative and non-commutative (cyclic) linear logic. We apply the commutative connec- tives of NL to refine the description of syntactic categories given in Lambek grammars and we use the structural rules of NL to manage the relationship between commutative and non-commutative contexts. In particular, we con- sider local permutation phenomena and unbounded dependencies in Italian, such as topicalization. Moreover a semantic treatment based on proof nets will be given.File in questo prodotto:
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