Precise widening operators for convex polyhedra
نویسندگان
چکیده
منابع مشابه
Precise Widening Operators for Convex Polyhedra
Convex polyhedra constitute the most used abstract domain among those capturing numerical relational information. Since the domain of convex polyhedra admits infinite ascending chains, it has to be used in conjunction with appropriate mechanisms for enforcing and accelerating convergence of the fixpoint computation. Widening operators provide a simple and general characterization for such mecha...
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FuncTion is a static analyzer designed for proving conditional termination of C programs by means of abstract interpretation. Its underlying abstract domain is based on piecewise-defined functions, which provide an upper bound on the number of program execution steps until termination as a function of the program variables. In this paper, we fully parameterize various aspects of the abstract do...
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The abstract domain of polyhedra is sufficiently expressive to be deployed in verification. One consequence of the richness of this domain is that long, possibly infinite, sequences of polyhedra can arise in the analysis of loops. Widening and narrowing have been proposed to infer a single polyhedron that summarises such a sequence of polyhedra. Motivated by precision losses encountered in veri...
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While the definition of the revised widening for polyhedra is defined in terms of inequalities, most implementations use the double description method as a means to an efficient implementation. We show how standard widening can be implemented in a simple and efficient way using a normalized H-representation (constraint-only) which has become popular in recent approximations to polyhedral analys...
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Abstract Interpretation, one of the most applied techniques for semantics based static analysis of software, is based on two main key-concepts: the correspondence between concrete and abstract semantics through Galois connections/insertions, and the feasibility of a fixed point computation of the abstract semantics, through the fast convergence of widening operators. The latter point is crucial...
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ژورنال
عنوان ژورنال: Science of Computer Programming
سال: 2005
ISSN: 0167-6423
DOI: 10.1016/j.scico.2005.02.003