97 research outputs found

    Formal Verification of Recursive Predicates

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    October 4, 1962

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    https://scholarlycommons.obu.edu/arbaptnews/1243/thumbnail.jp

    Series of Events on Tap to Celebrate Fitz\u27s Presidency

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    News release announces that the presidency of Brother Raymond L. Fitz, S.M., will be celebrated with several events

    Abstract interpretation of symbolic execution with explicit state updates

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    Systems for deductive software verification model the semantics of their target programming language with full precision. On the other hand, abstraction based approaches work with approximations of the semantics in order to be fully automatic. In this paper we aim at providing a uniform framework for both fully precise and approximate reasoning about programs. We present a sound dynamic logic calculus that integrates abstraction in the sense of abstract interpretation theory. In the second part of the paper, we apply the approach to the analysis of secure information flow

    Integrating deductive verification and symbolic execution for abstract object creation in dynamic logic

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    We present a fully abstract weakest precondition calculus and its integration with symbolic execution. Our assertion language allows both specifying and verifying properties of objects at the abstraction level of the programming language, abstracting from a specific implementation of object creation. Objects which are not (yet) created never play any role. The corresponding proof theory is discussed and justified formally by soundness theorems. The usage of the assertion language and proof rules is illustrated with an example of a linked list reachability property. All proof rules presented are fully implemented in a version of the KeY verification system for Java programs

    Weak Arithmetic Completeness of Object-Oriented First-Order Assertion Networks

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    We present a completeness proof of the inductive assertion method for object-oriented programs extended with auxiliary variables. The class of programs considered are assumed to compute over structures which include the standard interpretation of Presburger arithmetic. Further, the assertion language is first-order, i.e., quantification only ranges over basic types like that of the natural numbers, Boolean and Object

    Delta-based Verification of Software Product Families

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    The quest for feature- and family-oriented deductive verification of software product lines resulted in several proposals. In this paper we look at delta-oriented modeling of product lines and combine two new ideas: first, we extend Hähnle & Schaefer’s delta-oriented version of Liskov’s substitution principle for behavioral subtyping to work also for overridden behavior in benign cases. For this to succeed, programs need to be in a certain normal form. The required normal form turns out to be achievable in many cases by a set of program transformations, whose correctness is ensured by the recent technique of abstract execution. This is a generalization of symbolic execution that permits reasoning about abstract code elements. It is needed, because code deltas contain partially unknown code contexts in terms of “original” calls. Second, we devise a modular verification procedure for deltas based on abstract execution, representing deltas as abstract programs calling into unknown contexts. The result is a “delta-based” verification approach, where each modification of a method in a code delta is verified in isolation, but which overcomes the strict limitations of behavioral subtyping and works for many practical programs. The latter claim is substantiated with case studies and benchmarks

    OpenJDK's Java.utils.Collection.sort() Is Broken: The Good, the Bad and the Worst Case

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    We investigate the correctness of TimSort, which is the main sorting algorithm provided by the Java standard library. The goal is functional verification with mechanical proofs. During our verification attempt we discovered a bug which causes the implementation to crash. We characterize the conditions under which the bug occurs, and from this we derive a bug-free version that does not compromise the performance. We formally specify the new version and mechanically verify the absence of this bug with KeY, a state-of-the-art verification tool for Java

    Testing abstract behavioral specifications

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    We present a range of testing techniques for the Abstract Behavioral Specification (ABS) language and apply them to an industrial case study. ABS is a formal modeling language for highly variable, concurrent, component-based systems. The nature of these systems makes them susceptible to the introduction of subtle bugs that are hard to detect in the presence of steady adaptation. While static analysis techniques are available for an abstract language such as ABS, testing is still indispensable and complements analytic methods. We focus on fully automated testing techniques including black-box and glass-box test generation as well as runtime assertion checking, which are shown to be effective in an industrial setting
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