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» Proof Theory for Kleene Algebra
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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
JLP
2008
91views more  JLP 2008»
13 years 7 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
JLP
2011
106views more  JLP 2011»
12 years 10 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...
JLP
2010
85views more  JLP 2010»
13 years 2 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
CSL
2010
Springer
13 years 8 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous