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» Formalizing Desargues' theorem in Coq using ranks
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POPL
2006
ACM
14 years 6 months ago
Formal certification of a compiler back-end or: programming a compiler with a proof assistant
This paper reports on the development and formal certification (proof of semantic preservation) of a compiler from Cminor (a Clike imperative language) to PowerPC assembly code, u...
Xavier Leroy
TYPES
2000
Springer
13 years 9 months ago
A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals
Abstract. In the FTA project in Nijmegen we have formalized a constructive proof of the Fundamental Theorem of Algebra. In the formalization, we have first defined the (constructiv...
Herman Geuvers, Freek Wiedijk, Jan Zwanenburg
CSFW
2010
IEEE
13 years 10 months ago
A Machine-Checked Formalization of Sigma-Protocols
—Zero-knowledge proofs have a vast applicability in the domain of cryptography, stemming from the fact that they can be used to force potentially malicious parties to abide by th...
Gilles Barthe, Daniel Hedin, Santiago Zanella B&ea...
TPHOL
2003
IEEE
13 years 11 months ago
Program Extraction from Large Proof Developments
Abstract. It is well known that mathematical proofs often contain (abstract) algorithms, but although these algorithms can be understood by a human, it still takes a lot of time an...
Luís Cruz-Filipe, Bas Spitters
ICFP
2012
ACM
11 years 8 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