Titlebook: Verification, Model Checking, and Abstract Interpretation; 6th International Co Radhia Cousot Conference proceedings 2005 Springer-Verlag B

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The Verifying Compiler, a Grand Challenge for Computing Research between parts of a program. The idea of mechanical theorem proving dates back to Leibniz; it has been explored in practice on modern computers by McCarthy, Milner, and many others since. A proposal for ’a program verifier’, combining these two technologies, was the subject of a Doctoral dissertatio

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Checking Herbrand Equalities and Beyond problem of . validity of positive Boolean combinations of Herbrand equalities at a given program point is decidable – even in presence of disequality guards. This result vastly extends the reach of classical methods for global value numbering which cannot deal with disjunctions and are always based

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Static Analysis by Abstract Interpretation of the Quasi-synchronous Composition of Synchronous Progr is close to electronic diagrams. In particular, it uses logic and arithmetic gates, connected by wires, and models synchronous subsystems as boxes containing these gates..In our approach, we introduce a continuous-time semantics, connecting each point of the diagram to a value, at . moment. We then

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Termination of Polynomial Programs analysis. The technique is based on finite differences of expressions over transition systems. Although no complete method exists for determining termination for this class of loops, we show that our technique is useful in practice. We demonstrate that our prototype implementation for C source code

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Abstraction for Livenesste-state systems. These are the methods of . and . (FA). Finitary abstraction is the process which provides an abstraction mapping, mapping a potentially infinite-state system into a finite-state one. After obtaining the finite-state abstraction, we may apply model checking in order to verify the pr

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Shape Analysis by Predicate Abstractionprogram variables pointing into the heap, we are able to analyze functional properties of programs with destructive heap updates, such as list reversal and various in-place list sorts. The approach allows verification of both safety and liveness properties. The abstraction we use does not require an