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» A Term Calculus for Intuitionistic Linear Logic
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IANDC
2010
125views more  IANDC 2010»
14 years 10 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»
14 years 11 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»
14 years 11 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
15 years 5 months 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
14 years 11 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