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TLCA
2007
Springer
15 years 10 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
FPCA
1989
15 years 7 months ago
Theorems for Free!
Parametric polymorphism constrains the behavior of pure functional programs in a way that allows the derivation of interesting theorems about them solely from their types, i.e., v...
Philip Wadler
DAC
2007
ACM
16 years 4 months ago
Progressive Decomposition: A Heuristic to Structure Arithmetic Circuits
Despite the impressive progress of logic synthesis in the past decade, finding the best architecture for a given circuit still remains an open problem and largely unsolved. In mos...
Ajay K. Verma, Philip Brisk, Paolo Ienne
POPL
2003
ACM
16 years 4 months ago
Pure patterns type systems
We introduce a new framework of algebraic pure type systems in which we consider rewrite rules as lambda terms with patterns and rewrite rule application as abstraction applicatio...
Gilles Barthe, Horatiu Cirstea, Claude Kirchner, L...
PPDP
2009
Springer
15 years 10 months ago
Reasoning with hypothetical judgments and open terms in hybrid
Hybrid is a system developed to specify and reason about logics, programming languages, and other formal systems expressed in rder abstract syntax (HOAS). An important goal of Hyb...
Amy P. Felty, Alberto Momigliano