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Correctness of program transformations in extended lambda calculi with a contextual semantics is usually based on reasoning about the operational semantics which is a rewrite semantics. A successful approach to proving correctness is the…

Programming Languages · Computer Science 2010-12-23 Conrad Rau , Manfred Schmidt-Schauß

We show that verification of object-oriented programs by means of the assertional method can be achieved in a simple way by exploiting a syntax-directed transformation from object-oriented programs to recursive programs. This transformation…

Logic in Computer Science · Computer Science 2011-11-09 Krzysztof R. Apt , Frank S. de Boer , Ernst-Ruediger Olderog , Stijn de Gouw

In this paper we show how prescritive type checking and constraint solving can be combined to increase automation during software verification. We do so by defining a type system and implementing a typechecker for {log} (read `setlog'), a…

Logic in Computer Science · Computer Science 2025-01-22 Maximiliano Cristiá , Gianfranco Rossi

Testing is a vital part of the software development process. Test Case Generation (TCG) is the process of automatically generating a collection of test cases which are applied to a system under test. White-box TCG is usually performed by…

Programming Languages · Computer Science 2010-07-30 Miguel Gómez-Zamalloa , Elvira Albert , Germán Puebla

There are two kinds of approaches for termination analysis of logic programs: "transformational" and "direct" ones. Direct approaches prove termination directly on the basis of the logic program. Transformational approaches transform a…

Logic in Computer Science · Computer Science 2008-09-01 P. Schneider-Kamp , J. Giesl , A. Serebrenik , R. Thiemann

We extend a technique called Compiling Control. The technique transforms coroutining logic programs into logic programs that, when executed under the standard left-to-right selection rule (and not using any delay features) have the same…

Programming Languages · Computer Science 2017-08-28 Vincent Nys , Danny De Schreye

An approximate program transformation is a transformation that can change the semantics of a program within a specified empirical error bound. Such transformations have wide applications: they can decrease computation time, power…

Programming Languages · Computer Science 2013-04-23 Edwin Westbrook , Swarat Chaudhuri

Our research is part of a wider project that aims to investigate and reason about the correctness of scheme-based source code transformations of Erlang programs. In order to formally reason about the definition of a programming language and…

Programming Languages · Computer Science 2020-08-19 Péter Bereczky , Dániel Horpácsi , Simon Thompson

The system PL permits the translation of abstract proofs of program correctness into programs in a variety of programming languages. A programming language satisfying certain axioms may be the target of such a translation. The system PL…

Software Engineering · Computer Science 2007-05-23 David A. Plaisted

We report on the automation of a technique to prove the correctness of program transformations in higher-order program calculi which may permit recursive let-bindings as they occur in functional programming languages. A program…

Logic in Computer Science · Computer Science 2019-02-25 David Sabel

We propose a modular method for proving termination of general logic programs (i.e., logic programs with negation). It is based on the notion of acceptable programs, but it allows us to prove termination in a truly modular way. We consider…

Logic in Computer Science · Computer Science 2025-06-18 Annalisa Bossi , Nicoletta Cocco , Sandro Etalle , Sabina Rossi

An integer program is called ideal if its continuous relaxation coincides with its convex hull allowing the problem to be solved as a continuous program and offering substantial computational advantages. Proving idealness analytically can…

Optimization and Control · Mathematics 2026-01-22 Jamie Fravel , Robert Hildebrand

We present a logical framework for the verification of relational properties in imperative programs. Our work is motivated by relational properties which come from security applications and often require reasoning about formulas with…

Logic in Computer Science · Computer Science 2019-08-13 Gilles Barthe , Renate Eilers , Pamina Georgiou , Bernhard Gleiss , Laura Kovacs , Matteo Maffei

The latest paradigm shift in software development brings in the innovation and automation afforded by Large Language Models (LLMs), showcased by Generative Pre-trained Transformer (GPT), which has shown remarkable capacity to generate code…

Software Engineering · Computer Science 2024-06-12 Xiaoyin Wang , Dakai Zhu

The use of temporal logics has long been recognised as a fundamental approach to the formal specification and verification of reactive systems. In this paper, we take on the problem of automatically verifying a temporal property, given by a…

Logic in Computer Science · Computer Science 2016-07-18 Tewodros A. Beyene , Corneliu Popeea , Andrey Rybalchenko

This paper studies how to verify the conformity of a program with its specification and proposes a novel constraint-programming framework for bounded program verification (CPBPV). The CPBPV framework uses constraint stores to represent the…

Software Engineering · Computer Science 2008-07-16 Hélène Collavizza , Michel Rueher , Pascal Van Hentenryck

Arrays are commonly used in a variety of software to store and process data in loops. Automatically proving safety properties of such programs that manipulate arrays is challenging. We present a novel verification technique, called…

Programming Languages · Computer Science 2022-09-27 Supratik Chakraborty , Ashutosh Gupta , Divyesh Unadkat

Large language models (LLMs) are increasingly used for program verification, and yet little is known about \emph{how} they reason about program semantics during this process. In this work, we focus on abstract interpretation based-reasoning…

Machine Learning · Computer Science 2025-10-01 Jacqueline L. Mitchell , Brian Hyeongseok Kim , Chenyu Zhou , Chao Wang

Logic programming is a flexible programming paradigm due to the use of predicates without a fixed data flow. To extend logic languages with the compact notation of functional programming, there are various proposals to map evaluable…

Programming Languages · Computer Science 2022-05-17 Michael Hanus

In various provers and deductive verification tools, logical transformations are used extensively in order to reduce a proof task into a number of simpler tasks. Logical transformations are often part of the trusted base of such tools. In…

Logic in Computer Science · Computer Science 2021-07-07 Quentin Garchery
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