Minimalist Grammars in the Light of Logic
SALVATI, Sylvain
Linguistic signs, grammar and meaning: computational logic for natural language [SIGNES]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Linguistic signs, grammar and meaning: computational logic for natural language [SIGNES]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
SALVATI, Sylvain
Linguistic signs, grammar and meaning: computational logic for natural language [SIGNES]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
< Reduce
Linguistic signs, grammar and meaning: computational logic for natural language [SIGNES]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Language
en
Rapport
This item was published in
2011-02-07p. 39
English Abstract
In this paper, we aim at understanding the derivations of minimalist grammars without the shortest move constraint. This leads us to study the relationship of those derivations with logic. In particular we show that the ...Read more >
In this paper, we aim at understanding the derivations of minimalist grammars without the shortest move constraint. This leads us to study the relationship of those derivations with logic. In particular we show that the membership problem of minimalist grammars without the shortest move constraint is as difficult as provability in Multiplicative Exponential Linear Logic. As a byproduct, this result gives us a new representation of those derivations with linear $\lambda$-terms. We show how to interpret those terms in a homomorphic way so as to recover the sentence they analyse. As the homorphisms we describe are rather evolved, we turn to a proof-net representation and explain how Monadic Second Order Logic and related techniques allow us both to define those proof-nets and to retrieve the sentence they analyse.Read less <
Origin
Hal imported