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» On the Mechanization of the Proof of Hessenberg's Theorem in...
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AISC
2008
Springer
13 years 7 months ago
Mechanising a Proof of Craig's Interpolation Theorem for Intuitionistic Logic in Nominal Isabelle
Craig's Interpolation Theorem is an important meta-theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic w...
Peter Chapman, James McKinna, Christian Urban
CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 5 months ago
Mechanized semantics
The goal of this lecture is to show how modern theorem provers--in this case, the Coq proof assistant--can be used to mechanize the specification of programming languages and their...
Xavier Leroy
ICFP
2012
ACM
11 years 7 months ago
Proof-producing synthesis of ML from higher-order logic
The higher-order logic found in proof assistants such as Coq and various HOL systems provides a convenient setting for the development and verification of pure functional program...
Magnus O. Myreen, Scott Owens
CADE
1992
Springer
13 years 9 months ago
Caching and Lemmaizing in Model Elimination Theorem Provers
Theorem provers based on model elimination have exhibited extremely high inference rates but have lacked a redundancy control mechanism such as subsumption. In this paper we repor...
Owen L. Astrachan, Mark E. Stickel
MKM
2009
Springer
13 years 11 months ago
Combining Coq and Gappa for Certifying Floating-Point Programs
Abstract. Formal verification of numerical programs is notoriously difficult. On the one hand, there exist automatic tools specialized in floatingpoint arithmetic, such as Gappa...
Sylvie Boldo, Jean-Christophe Filliâtre, Gui...