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» Concurrent Kleene Algebra
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STACS
2001
Springer
13 years 12 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
CTCS
1989
Springer
13 years 11 months ago
Temporal Structures
We combine the principles of the Floyd-Warshall-Kleene algorithm, enriched categories, and Birkhoff arithmetic, to yield a useful class of algebras of transitive vertex-labeled s...
Ross Casley, Roger F. Crew, José Meseguer, ...
LICS
2005
IEEE
14 years 1 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
POPL
2003
ACM
14 years 7 months ago
A generic approach to the static analysis of concurrent programs with procedures
We present a generic aproach to the static analysis of concurrent programs with procedures. We model programs as communicating pushdown systems. It is known that typical dataflow ...
Ahmed Bouajjani, Javier Esparza, Tayssir Touili
CSL
1997
Springer
13 years 11 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