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» Intersection Types and Lambda Theories
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LICS
2002
IEEE
13 years 10 months ago
Remarks on Isomorphisms in Typed Lambda Calculi with Empty and Sum Types
Tarski asked whether the arithmetic identities taught in high school are complete for showing all arithmetic equations valid for the natural numbers. The answer to this question f...
Marcelo P. Fiore, Roberto Di Cosmo, Vincent Balat
ENTCS
2002
128views more  ENTCS 2002»
13 years 5 months ago
Rewriting Calculus with(out) Types
The last few years have seen the development of a new calculus which can be considered as an outcome of the last decade of various researches on (higher order) term rewriting syst...
Horatiu Cirstea, Claude Kirchner, Luigi Liquori
ICFP
1996
ACM
13 years 9 months ago
Inductive, Coinductive, and Pointed Types
An extension of the simply-typed lambda calculus is presented which contains both well-structured inductive and coinductive types, and which also identifies a class of types for w...
Brian T. Howard
TLCA
2007
Springer
13 years 11 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
POPL
2004
ACM
14 years 6 months ago
Extensional normalisation and type-directed partial evaluation for typed lambda calculus with sums
We present a notion of -long ? -normal term for the typed lambda calculus with sums and prove, using Grothendieck logical relations, that every term is equivalent to one in norm...
Vincent Balat, Roberto Di Cosmo, Marcelo P. Fiore