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» A Term Calculus for Intuitionistic Linear Logic
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IANDC
2010
125views more  IANDC 2010»
13 years 6 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
ENTCS
2002
71views more  ENTCS 2002»
13 years 7 months ago
A Simplified Account of the Metatheory of Linear LF
We present a variant of the linear logical framework LLF that avoids the restriction l-typed terms be in pre-canonical form and adds -abstraction at the level of families. We aban...
Joseph Vanderwaart, Karl Crary
JSYML
2007
85views more  JSYML 2007»
13 years 7 months ago
Substructural fuzzy logics
Substructural fuzzy logics are substructural logics that are complete with respect to algebras whose lattice reduct is the real unit interval [0, 1]. In this paper, we introduce Un...
George Metcalfe, Franco Montagna
LOPSTR
2004
Springer
14 years 27 days ago
Graph-Based Proof Counting and Enumeration with Applications for Program Fragment Synthesis
For use in earlier approaches to automated module interface adaptation, we seek a restricted form of program synthesis. Given some typing assumptions and a desired result type, we ...
J. B. Wells, Boris Yakobowski
TCS
2008
13 years 7 months ago
A typed lambda calculus with intersection types
Intersection types are well-known to type theorists mainly for two reasons. Firstly, they type all and only the strongly normalizable lambda terms. Secondly, the intersection type...
Viviana Bono, Betti Venneri, Lorenzo Bettini