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  1. Annals of Mathematics and Artificial Intelligence
  2. Annals of Mathematics and Artificial Intelligence : Volume 55
  3. Annals of Mathematics and Artificial Intelligence : Volume 55, Issue 1-2, February 2009
  4. Automated verification of refinement laws
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Annals of Mathematics and Artificial Intelligence : Volume 80
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Annals of Mathematics and Artificial Intelligence : Volume 56
Annals of Mathematics and Artificial Intelligence : Volume 55
Annals of Mathematics and Artificial Intelligence : Volume 55, Issue 3-4, April 2009
Annals of Mathematics and Artificial Intelligence : Volume 55, Issue 1-2, February 2009
Preface
Labelled splitting
Automated verification of refinement laws
Delayed theory combination vs. Nelson-Oppen for satisfiability modulo theories: a comparative analysis
Solving quantified verification conditions using satisfiability modulo theories
Inductive proof search modulo
A new methodology for developing deduction methods
Annals of Mathematics and Artificial Intelligence : Volume 54
Annals of Mathematics and Artificial Intelligence : Volume 53
Annals of Mathematics and Artificial Intelligence : Volume 52
Annals of Mathematics and Artificial Intelligence : Volume 51
Annals of Mathematics and Artificial Intelligence : Volume 50
Annals of Mathematics and Artificial Intelligence : Volume 49
Annals of Mathematics and Artificial Intelligence : Volume 48
Annals of Mathematics and Artificial Intelligence : Volume 47
Annals of Mathematics and Artificial Intelligence : Volume 46
Annals of Mathematics and Artificial Intelligence : Volume 45
Annals of Mathematics and Artificial Intelligence : Volume 44
Annals of Mathematics and Artificial Intelligence : Volume 43
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Automated verification of refinement laws

Content Provider Springer Nature Link
Author Höfner, Peter Sutcliffe, Geoff Struth, Georg
Copyright Year 2009
Abstract Demonic refinement algebras are variants of Kleene algebras. Introduced by von Wright as a light-weight variant of the refinement calculus, their intended semantics are positively disjunctive predicate transformers, and their calculus is entirely within first-order equational logic. So, for the first time, off-the-shelf automated theorem proving (ATP) becomes available for refinement proofs. We used ATP to verify a toolkit of basic refinement laws. Based on this toolkit, we then verified two classical complex refinement laws for action systems by ATP: a data refinement law and Back’s atomicity refinement law. We also present a refinement law for infinite loops that has been discovered through automated analysis. Our proof experiments not only demonstrate that refinement can effectively be automated, they also compare eleven different ATP systems and suggest that program verification with variants of Kleene algebras yields interesting theorem proving benchmarks. Finally, we apply hypothesis learning techniques that seem indispensable for automating more complex proofs.
Ending Page 62
Page Count 28
Starting Page 35
File Format PDF
ISSN 10122443
e-ISSN 15737470
Journal Annals of Mathematics and Artificial Intelligence
Issue Number 1-2
Volume Number 55
Language English
Publisher Springer Netherlands
Publisher Date 2009-07-04
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Specification and verification (program logics, model checking, etc.) Action systems Semirings Mathematics Statistical Physics, Dynamical Systems and Complexity Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) Kleene algebras Automated deduction Refinement calculus Semantics Computer Science Artificial Intelligence (incl. Robotics) Theorem proving (deduction, resolution, etc.)
Content Type Text
Resource Type Article
Subject Applied Mathematics Artificial Intelligence
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