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CORR
2010
Springer
99views Education» more  CORR 2010»
13 years 5 months ago
Pure Type Systems without Explicit Contexts
We present an approach to type theory in which the typing judgments do not have explicit contexts. Instead of judgments of the shape A : B, our systems just have judgments of the ...
Herman Geuvers, Robbert Krebbers, James McKinna, F...
LICS
2010
IEEE
13 years 3 months ago
Equality Is Typable in Semi-full Pure Type Systems
—There are two usual ways to describe equality in a dependent typing system, one that uses an external notion of computation like beta-reduction, and one that introduces a typed ...
Vincent Siles, Hugo Herbelin
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
FOSSACS
2008
Springer
13 years 6 months ago
Erasure and Polymorphism in Pure Type Systems
We introduce Erasure Pure Type Systems, an extension to Pure Type Systems with an erasure semantics centered around a type constructor indicating parametric polymorphism. The eras...
Nathan Mishra-Linger, Tim Sheard
IFIP
2004
Springer
13 years 10 months ago
The Simply-typed Pure Pattern Type System Ensures Strong Normalization
Pure Pattern Type Systems (P2 TS) combine in a unified setting the capabilities of rewriting and λ-calculus. Their type systems, adapted from Barendregt’s λ-cube, are especial...
Benjamin Wack