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» Proof Reflection in Coq
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ICFP
2002
ACM
14 years 7 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
JAR
2008
105views more  JAR 2008»
13 years 7 months ago
Proof Synthesis and Reflection for Linear Arithmetic
This article presents detailed implementations of quantifier elimination for both integer and real linear arithmetic for theorem provers. The underlying algorithms are those by Coo...
Amine Chaieb, Tobias Nipkow
TYPES
2004
Springer
14 years 29 days ago
A Content Based Mathematical Search Engine: Whelp
Abstract. The prototype of a content based search engine for mathematical knowledge supporting a small set of queries requiring matching and/or typing operations is described. The ...
Andrea Asperti, Ferruccio Guidi, Claudio Sacerdoti...
TPHOL
1999
IEEE
13 years 12 months ago
Universal Algebra in Type Theory
We present a development of Universal Algebra inside Type Theory, formalized using the proof assistant Coq. We define the notion of a signature and of an algebra over a signature. ...
Venanzio Capretta
SCP
2011
255views Communications» more  SCP 2011»
13 years 2 months ago
Map fusion for nested datatypes in intensional type theory
A definitional extension LNGMIt of the Calculus of Inductive Constructions (CIC), that underlies the proof assistant Coq, is presented that allows also to program with nested dat...
Ralph Matthes