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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
MPC
2004
Springer
115views Mathematics» more  MPC 2004»
13 years 9 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
STACS
2001
Springer
13 years 8 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
CSL
1997
Springer
13 years 8 months ago
Equational Axioms of Test Algebra
We present a complete axiomatization of test algebra ( 24, 18, 29]), the two-sorted algebraic variant of Propositional Dynamic Logic (PDL, 21, 7]). The axiomatization consists of ...
Marco Hollenberg