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We present a method for synthesizing recursive functions that provably satisfy a given specification in the form of a polymorphic refinement type. We observe that such specifications are particularly suitable for program synthesis for two…

Programming Languages · Computer Science 2016-04-22 Nadia Polikarpova , Ivan Kuraj , Armando Solar-Lezama

A wide-spectrum language integrates specification constructs into a programming language in a manner that treats a specification command just like any other command. This paper investigates a semantic model for a wide-spectrum language that…

Logic in Computer Science · Computer Science 2016-09-02 Robert J. Colvin , Ian J. Hayes , Larissa A. Meinicke

This article shows a correspondence between abstract interpretation of imperative programs and the refinement calculus: in the refinement calculus, an abstract interpretation of a program is a specification which is a function. This…

Programming Languages · Computer Science 2014-06-16 Arnaud Spiwack

Widely used complex code refactoring tools lack a solid reasoning about the correctness of the transformations they implement, whilst interest in proven correct refactoring is ever increasing as only formal verification can provide true…

Software Engineering · Computer Science 2017-08-25 Dániel Horpácsi , Judit Kőszegi , Zoltán Horváth

Semantics of logic programs has been given by proof theory, model theory and by fixpoint of the immediate-consequence operator. If clausal logic is a programming language, then it should also have a compositional semantics. Compositional…

Programming Languages · Computer Science 2007-05-23 M. H. van Emden

The idea of using unfolding as a way of computing a program semantics has been applied successfully to logic programs and has shown itself a powerful tool that provides concrete, implementable results, as its outcome is actually source…

Programming Languages · Computer Science 2017-08-29 José María Rey-Poza , Julio Mariño-Carballo

The present work presents some results about the categorial relation between logics and its categories of structures. A (propositional, finitary) logic is a pair given by a signature and Tarskian consequence relation on its formula algebra.…

Category Theory · Mathematics 2016-03-04 Darllan Conceição Pinto , Hugo Luiz Mariano

The CEGAR loop in software model checking notoriously diverges when the abstraction refinement procedure does not derive a loop invariant. An abstraction refinement procedure based on an SMT solver is applied to a trace, i.e., a restricted…

Logic in Computer Science · Computer Science 2017-02-09 Marius Greitschus , Daniel Dietsch , Andreas Podelski

Modularity is the fundamental aspect of modern software engineering, however many advanced modularity techniques requires prospective technologies as part of development and operation process. In this paper, we present Refinable Function,…

Programming Languages · Computer Science 2021-09-15 Hiun Kim

The work relates to the automatic generation of logical specifications, considered as sets of temporal logic formulas, extracted directly from developed software models. The extraction process is based on the assumption that the whole…

Software Engineering · Computer Science 2014-06-27 Radoslaw Klimek

Testing has become an indispensable activity of software development, yet writing good and relevant tests remains a quite challenging task. One well-known problem is that it often is impossible or unrealistic to test for every outcome, as…

Programming Languages · Computer Science 2017-08-18 Dimitri Racordon , Didier Buchs

We present a new approach to termination analysis of logic programs. The essence of the approach is that we make use of general term-orderings (instead of level mappings), like it is done in transformational approaches to logic program…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

Rewriting logic is naturally concurrent: several subterms of the state term can be rewritten simultaneously. But state terms are global, which makes compositionality difficult to achieve. Compositionality here means being able to decompose…

Logic in Computer Science · Computer Science 2020-01-31 Óscar Martín , Alberto Verdejo , Narciso Martí-Oliet

Refinement is one of the cornerstones of a formal approach to software engineering. Refinement is the process of developing a more detailed design or implementation from an abstract specification through a sequence of mathematically-based…

Logic in Computer Science · Computer Science 2018-10-23 John Derrick , Brijesh Dongol , Steve Reeves

The notion of an equational shell is studied to involve the objects and their environment. Appropriate methods are studied as valid embeddings of refined objects. The refinement process determines the linkages between the variety of…

Logic in Computer Science · Computer Science 2007-05-23 Larissa Ismailova

This paper presents a study of the metaphorism pattern of relational specification, showing how it can be refined into recursive programs. Metaphorisms express input-output relationships which preserve relevant information while at the same…

Logic in Computer Science · Computer Science 2017-09-27 J. N. Oliveira

Many software analysis methods have come to rely on machine learning approaches. Code segmentation - the process of decomposing source code into meaningful blocks - can augment these methods by featurizing code, reducing noise, and limiting…

Software Engineering · Computer Science 2019-07-23 Jacob Dormuth , Ben Gelman , Jessica Moore , David Slater

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

Processing programs as data is one of the successes of functional and logic programming. Higher-order functions, as program-processing programs are called in functional programming, and meta-programs, as they are called in logic…

Logic in Computer Science · Computer Science 2020-04-21 François Bry

Iterative abstraction refinement techniques are one of the most prominent paradigms for the analysis and verification of systems with large or infinite state spaces. This paper investigates the changes of truth values of system properties…

Logic in Computer Science · Computer Science 2026-01-14 Jakob Piribauer , Vinzent Zschuppe