NDLI: Nonlocal Flow of Control and Kleene Algebra with Tests

Content Provider	IEEE Xplore Digital Library
Author	Kozen, D.
Copyright Year	2008
Description	Author affiliation: Dept. of Comput. Sci., Cornell Univ., Ithaca, NY (Kozen, D.)
Abstract	Kleene algebra with tests (KAT) is an equational system for program verification that combines Kleene algebra (KA), or the algebra of regular expressions, with Boolean algebra. It can model basic programming and verification constructs such as conditional tests, while loops, and Hoare triples, thus providing a relatively simple equational approach to program equivalence and partial correctness. In this paper we show how KAT can be used to give a rigorous equational treatment of control constructs involving nonlocal transfer of control such as unconditional jumps, loop statements with multi-level breaks, and exception handlers. We develop a compositional semantics and a complete equational axiomatization. The approach has some novel technical features, including a treatment of multi-level break statements that is reminiscent of de Bruijn indices in the variable-free lambda calculus. We illustrate the use of the system by giving a purely calculational proof that every deterministic flowchart is equivalent to a loop program with multi-level breaks.
Starting Page	105
Ending Page	117
File Size	311012
Page Count	13
File Format	PDF
ISBN	9780769531830
ISSN	10436871
DOI	10.1109/LICS.2008.32
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-24
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Equations Automata System testing Logic testing Boolean algebra Logic programming Computer science Calculus Flowcharts Automatic testing control flow Kleene algebra Kleene algebra with tests program restructuring
Content Type	Text
Resource Type	Article
Subject	Mathematics Software

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