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JOLLI
2011
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13 years 5 months ago
The Displacement Calculus
We define and study a calculus of discontinuity, a version of displacement calculus, which is a logic of segmented strings in exactly the same sense that the Lambek calculus is a ...
Glyn Morrill, Oriol Valentín, Mario Fadda
ACL
1989
13 years 12 months ago
Parsing as Natural Deduction
The logic behind parsers for categorial grammars can be formalized in several different ways. Lambek Calculus (LC) constitutes an example for a natural deduction 1 style parsing m...
Esther König
COLING
2000
14 years 5 days ago
Generation, Lambek Calculus, Montague's Semantics and Semantic Proof Nets
Most of the studies in the framework of Lambek calculus have considered the parsing process and ignored the generation process. This paper wants to rely on the close link between ...
Sylvain Pogodalla
LACL
1998
Springer
14 years 2 months ago
Lambek Calculus Proofs and Tree Automata
Abstract. We investigate natural deduction proofs of the Lambek calculus from the point of view of tree automata. The main result is that the set of proofs of the Lambek calculus c...
Hans-Jörg Tiede
LICS
1993
IEEE
14 years 2 months ago
Lambek Grammars Are Context Free
In this paper the Chomsky Conjecture is proved: all languages recognized by the Lambek calculus are context free.
Mati Pentus
WOLLIC
2007
Springer
14 years 5 months ago
Symmetries in Natural Language Syntax and Semantics: The Lambek-Grishin Calculus
In this paper, we explore the Lambek-Grishin calculus LG: a symmetric version of categorial grammar based on the generalizations of Lambek calculus studied in Grishin [1]. The voca...
Michael Moortgat
LFCS
2009
Springer
14 years 5 months ago
Product-Free Lambek Calculus Is NP-Complete
In this paper we prove that the derivability problems for productfree Lambek calculus and product-free Lambek calculus allowing empty premises are NP-complete. Also we introduce a...
Yury Savateev