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» Program Calculation in Coq
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ICFP
2002
ACM
14 years 10 months ago
A compiled implementation of strong reduction
Motivated by applications to proof assistants based on dependent types, we develop and prove correct a strong reducer and equivalence checker for the -calculus with products, sums...
Benjamin Grégoire, Xavier Leroy
TLCA
1993
Springer
14 years 2 months ago
Program Extraction from Normalization Proofs
This paper describes formalizations of Tait’s normalization proof for the simply typed λ-calculus in the proof assistants Minlog, Coq and Isabelle/HOL. From the formal proofs p...
Ulrich Berger
ICFP
2009
ACM
14 years 10 months ago
Effective interactive proofs for higher-order imperative programs
We present a new approach for constructing and verifying higherorder, imperative programs using the Coq proof assistant. We build on the past work on the Ynot system, which is bas...
Adam J. Chlipala, J. Gregory Malecha, Greg Morrise...
ICFP
2008
ACM
14 years 10 months ago
Ynot: dependent types for imperative programs
We describe an axiomatic extension to the Coq proof assistant, that supports writing, reasoning about, and extracting higher-order, dependently-typed programs with side-effects. C...
Aleksandar Nanevski, Greg Morrisett, Avraham Shinn...