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JLP
2011
106views more  JLP 2011»
12 years 7 months ago
Concurrent Kleene Algebra and its Foundations
A Concurrent Kleene Algebra offers two composition operators, related by a weak version of an exchange law: when applied in a trace model of program semantics, one of them stands...
Tony Hoare, Bernhard Möller, Georg Struth, Ia...
SBMF
2010
Springer
164views Formal Methods» more  SBMF 2010»
12 years 11 months ago
A Decision Procedure for Bisimilarity of Generalized Regular Expressions
A notion of generalized regular expressions for a large class of systems modeled as coalgebras, and an analogue of Kleene's theorem and Kleene algebra, were recently proposed ...
Marcello M. Bonsangue, Georgiana Caltais, Eugen-Io...
JLP
2010
85views more  JLP 2010»
12 years 11 months ago
Synchronous Kleene algebra
The work presented here investigates the combination of Kleene algebra with the synchrony model of concurrency from Milner's SCCS calculus. The resulting algebraic structure ...
Cristian Prisacariu
JANCL
2006
112views more  JANCL 2006»
13 years 4 months ago
KAT-ML: an interactive theorem prover for Kleene algebra with tests
We describe KAT-ML, an implementation of an interactive theorem prover for Kleene algebra with tests (KAT). The system is designed to reflect the natural style of reasoning with K...
Kamal Aboul-Hosn, Dexter Kozen
JLP
2008
91views more  JLP 2008»
13 years 4 months ago
Local variable scoping and Kleene algebra with tests
We explore the power of relational semantics and equational reasoning in the style of Kleene algebra for analyzing programs with mutable, statically scoped local variables. We prov...
Kamal Aboul-Hosn, Dexter Kozen
STACS
2001
Springer
13 years 9 months ago
Myhill-Nerode Relations on Automatic Systems and the Completeness of Kleene Algebra
It is well known that finite square matrices over a Kleene algebra again form a Kleene algebra. This is also true for infinite matrices under suitable restrictions. One can use t...
Dexter Kozen
MPC
2004
Springer
115views Mathematics» more  MPC 2004»
13 years 10 months ago
A Free Construction of Kleene Algebras with Tests
In this paper we define Kleene algebra with tests in a slightly more general way than Kozen’s definition. Then we give an explicit construction of the free Kleene algebra with...
Hitoshi Furusawa
LICS
2008
IEEE
13 years 11 months ago
Nonlocal Flow of Control and Kleene Algebra with Tests
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. I...
Dexter Kozen