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KAT and PHL in Coq

Title
KAT and PHL in Coq
Type
Article in International Scientific Journal
Year
2008
Authors
David Pereira
(Author)
Other
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Nelma Moreira
(Author)
FCUP
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Journal
Vol. 5
Pages: 137-160
ISSN: 1820-0214
Publisher: ComSIS Consortium
Scientific classification
FOS: Natural sciences > Computer and information sciences
Other information
Authenticus ID: P-003-TD0
Abstract (EN): In this article we describe an implementation of Kleene algebra with tests ( KAT) in the Coq theorem prover. KAT is an equational system that has been successfully applied in program verification and, in particular, it subsumes the propositional Hoare logic (PHL). We also present an PHL encoding in KAT, by deriving its deduction rules as theorems of KAT. Some examples of simple program's formal correctness are given. This work is part of a study of the feasibility of using KAT in the automatic production of certificates in the context of (source-level) Proof-Carrying-Code (PCC).
Language: English
Type (Professor's evaluation): Scientific
Contact: dpereira@ncc.up.pt; nam@ncc.up.pt
No. of pages: 24
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