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ENTCS
2008
101views more  ENTCS 2008»
14 years 11 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
92
Voted
CORR
2006
Springer
99views Education» more  CORR 2006»
14 years 11 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
15 years 5 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
102
Voted
CORR
2010
Springer
151views Education» more  CORR 2010»
14 years 11 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
97
Voted
TLCA
2007
Springer
15 years 5 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