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TPHOL
2007
IEEE
14 years 1 months ago
Extracting Purely Functional Contents from Logical Inductive Types
We propose a method to extract purely functional contents from logical inductive types in the context of the Calculus of Inductive Constructions. This method is based on a mode con...
David Delahaye, Catherine Dubois, Jean-Fréd...
TPHOL
1999
IEEE
13 years 11 months ago
Inductive Datatypes in HOL - Lessons Learned in Formal-Logic Engineering
Abstract. Isabelle/HOL has recently acquired new versions of definitional packages for inductive datatypes and primitive recursive functions. In contrast to its predecessors and mo...
Stefan Berghofer, Markus Wenzel
MPC
1995
Springer
125views Mathematics» more  MPC 1995»
13 years 10 months ago
Synthesizing Proofs from Programs in the Calculus of Inductive Constructions
We want to prove \automatically" that a program is correct with respect to a set of given properties that is a speci cation. Proofs of speci cations contain logical parts and ...
Catherine Parent
ML
2006
ACM
143views Machine Learning» more  ML 2006»
13 years 6 months ago
Mathematical applications of inductive logic programming
The application of Inductive Logic Programming to scientific datasets has been highly successful. Such applications have led to breakthroughs in the domain of interest and have dri...
Simon Colton, Stephen Muggleton
ICFP
2008
ACM
14 years 6 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...