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JOLLI
2006
78views more  JOLLI 2006»
14 years 9 months ago
A 'Natural Logic' inference system using the Lambek calculus
This paper develops an inference system for natural language within the `Natural Logic' paradigm as advocated by Van Benthem [11], S
Anna Zamansky, Nissim Francez, Yoad Winter
90
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ACL
1989
14 years 10 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
WOLLIC
2007
Springer
15 years 3 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
IANDC
2010
125views more  IANDC 2010»
14 years 8 months ago
Continuation semantics for the Lambek-Grishin calculus
Categorial grammars in the tradition of Lambek [18, 19] are asymmetric: sequent statements are of the form Γ ⇒ A, where the succedent is a single formula A, the antecedent a st...
Raffaella Bernardi, Michael Moortgat
TABLEAUX
2009
Springer
15 years 4 months ago
Taming Displayed Tense Logics Using Nested Sequents with Deep Inference
We consider two sequent calculi for tense logic in which the syntactic judgements are nested sequents, i.e., a tree of traditional onesided sequents built from multisets of formula...
Rajeev Goré, Linda Postniece, Alwen Tiu