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» Proof Theory for Kleene Algebra
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CONCUR
2009
Springer
14 years 2 days ago
Concurrent Kleene Algebra
Abstract. A concurrent Kleene algebra offers, next to choice and iteration, operators for sequential and concurrent composition, related by an inequational form of the exchange la...
C. A. R. Hoare, Bernhard Möller, Georg Struth...
CALCO
2009
Springer
138views Mathematics» more  CALCO 2009»
14 years 2 months ago
Kleene Monads: Handling Iteration in a Framework of Generic Effects
Abstract. Monads are a well-established tool for modelling various computational effects. They form the semantic basis of Moggi’s computational metalanguage, the metalanguage of ...
Sergey Goncharov, Lutz Schröder, Till Mossako...
JANCL
2006
112views more  JANCL 2006»
13 years 7 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
CL
2000
Springer
13 years 11 months ago
Certification of Compiler Optimizations Using Kleene Algebra with Tests
We use Kleene algebra with tests to verify a wide assortment of common compiler optimizations, including dead code elimination, common subexpression elimination, copy propagation,...
Dexter Kozen, Maria-Christina Patron
FCT
1999
Springer
13 years 11 months ago
On Recognizable Languages in Divisibility Monoids
Kleene’s theorem on recognizable languages in free monoids is considered to be of eminent importance in theoretical computer science. It has been generalized into various directi...
Manfred Droste, Dietrich Kuske