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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
LICS
2005
IEEE
13 years 10 months ago
Proof Theory for Kleene Algebra
The universal Horn theory of relational Kleene algebra with tests (RKAT) is of practical interest, particularly for program semantics. We develop an (infinitary) proof system, ba...
Chris Hardin
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
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...
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