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87
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TLCA
2007
Springer
15 years 3 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
89
Voted
FOSSACS
2008
Springer
14 years 11 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
89
Voted
CORR
2010
Springer
194views Education» more  CORR 2010»
14 years 7 months ago
A Focused Sequent Calculus Framework for Proof Search in Pure Type Systems
Basic proof search tactics in logic and type theory can be seen as the root-rst applications of rules in an appropriate sequent calculus, preferably without the redundancies gener...
Stéphane Lengrand, Roy Dyckhoff, James McKi...
60
Voted
TLCA
1993
Springer
15 years 1 months ago
Pure Type Systems Formalized
James McKinna, Robert Pollack
POPL
2010
ACM
15 years 7 months ago
Pure Subtype Systems
This paper introduces a new approach to type theory called pure subtype systems. Pure subtype systems differ from traditional approaches to type theory (such as pure type systems)...
DeLesley S. Hutchins