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ENTCS
2008
101views more  ENTCS 2008»
13 years 7 months ago
Normalization for the Simply-Typed Lambda-Calculus in Twelf
Normalization for the simply-typed -calculus is proven in Twelf, an implementation of the Edinburgh Logical Framework. Since due to proof-theoretical restrictions Twelf Tait'...
Andreas Abel
CORR
2006
Springer
99views Education» more  CORR 2006»
13 years 7 months ago
An Embedding of the BSS Model of Computation in Light Affine Lambda-Calculus
This paper brings together two lines of research: implicit characterization of complexity classes by Linear Logic (LL) on the one hand, and computation over an arbitrary ring in t...
Patrick Baillot, Marco Pedicini
TLCA
2007
Springer
14 years 1 months ago
Higher-Order Logic Programming Languages with Constraints: A Semantics
A Kripke Semantics is defined for a higher-order logic programming language with constraints, based on Church’s Theory of Types and a generic constraint formalism. Our syntactic...
James Lipton, Susana Nieva
CORR
2010
Springer
151views Education» more  CORR 2010»
13 years 7 months ago
Redundancies in Dependently Typed Lambda Calculi and Their Relevance to Proof Search
Dependently typed -calculi such as the Logical Framework (LF) are capable of representing relationships between terms through types. By exploiting the "formulas-as-types"...
Zachary Snow, David Baelde, Gopalan Nadathur
TLCA
2007
Springer
14 years 1 months ago
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
Denis Cousineau 0002, Gilles Dowek