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We describe an approach to the verified implementation of transformations on functional programs that exploits the higher-order representation of syntax. In this approach, transformations are specified using the logic of hereditary Harrop…

Programming Languages · Computer Science 2016-01-26 Yuting Wang , Gopalan Nadathur

Context. Variability-intensive programs (program families) appear in many application areas and for many reasons today. Different family members, called variants, are derived by switching statically configurable options (features) on and…

Programming Languages · Computer Science 2017-02-01 Alexandru Florin Iosif-Lazar , Jean Melo , Aleksandar S. Dimovski , Claus Brabrand , Andrzej Wasowski

For engineering software with formal correctness proofs it is crucial that proofs can be efficiently reused in case the software or its specification is changed. Unfortunately, in reality even slight changes in the code or its specification…

Software Engineering · Computer Science 2015-01-20 Maria Pelevina

We present a technique for the automated verification of abstract models of multithreaded programs providing fresh name generation, name mobility, and unbounded control. As high level specification language we adopt here an extension of…

Logic in Computer Science · Computer Science 2007-05-23 Giorgio Delzanno

We consider the decidability of the verification problem of programs \emph{modulo axioms} --- that is, verifying whether programs satisfy their assertions, when the functions and relations it uses are assumed to interpreted by arbitrary…

Programming Languages · Computer Science 2019-10-30 Umang Mathur , P. Madhusudan , Mahesh Viswanathan

Program transformation is an appealing technique which allows to improve run-time efficiency, space-consumption and more generally to optimize a given program. Essentially it consists of a sequence of syntactic program manipulations which…

Programming Languages · Computer Science 2008-07-28 Maurizio Gabbrielli , Maria Chiara Meo , Paolo Tacchella

Model transformations are the cornerstone of Model-Driven Engineering, and provide the essential mechanisms for manipulating and transforming models. Checking whether the output of a model transformation is correct is a manual and…

Software Engineering · Computer Science 2018-05-01 Javier Troya , Sergio Segura , Antonio Ruiz-Cortés

Control barrier functions are a popular method of ensuring system safety, and these functions can be used to enforce invariance of a set under the dynamics of a system. A control barrier function must have certain properties, and one must…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Ellie Pond , Matthew Hale

The boolean satisfiability (SAT) problem asks whether there exists an assignment of boolean values to the variables of an arbitrary boolean formula making the formula evaluate to True. It is well-known that all NP-problems can be coded as…

Machine Learning · Computer Science 2024-10-22 Christopher R. Serrano , Jonathan Gallagher , Kenji Yamada , Alexei Kopylov , Michael A. Warren

Constraint Handling Rules (CHR) is a rule-based programming language that rewrites collections of constraints. It is typically embedded into a general-purpose language. There exists a plethora of implementation for numerous host languages.…

Programming Languages · Computer Science 2025-08-26 Sascha Rechenberger , Thom Frühwirth

We apply program verification technology to the problem of specifying and verifying automatic differentiation (AD) algorithms. We focus on define-by-run, a style of AD where the program that must be differentiated is executed and monitored…

Logic in Computer Science · Computer Science 2024-02-14 Paulo Emílio de Vilhena , François Pottier

A fertile area of recent research has demonstrated concrete polynomial time lower bounds for solving natural hard problems on restricted computational models. Among these problems are Satisfiability, Vertex Cover, Hamilton Path, Mod6-SAT,…

Computational Complexity · Computer Science 2010-02-03 Ryan Williams

Cyber-physical systems (CPS) such as autonomous cars, aircraft, and robots are often also safety-critical; thus it is imperative that they operate as intended with a high degree of certainty. Formal verification has been employed to verify…

Programming Languages · Computer Science 2026-05-07 Serra Z. Dane , Jiawei Chen , Marc Pouzet , Jean-Baptiste Jeannin

Constraint Handling Rules (CHR) are a committed-choice declarative language which has been designed for writing constraint solvers. A CHR program consists of multi-headed guarded rules which allow one to rewrite constraints into simpler…

Programming Languages · Computer Science 2007-05-23 Maurizio Gabbrielli , Maria Chiara Meo

We demonstrate that traits are a natural way to support correctness-by-construction (CbC) in an existing programming language in the presence of traditional post-hoc verification (PhV). With Correctness-by-Construction, programs are…

Programming Languages · Computer Science 2022-04-13 Tobias Runge , Alex Potanin , Thomas Thüm , Ina Schaefer

Testing is an essential tool to assure software, especially so in safety-critical applications. To quantify how thoroughly a software item has been tested, a test coverage metric is required. Maybe the strictest such metric known in the…

Software Engineering · Computer Science 2025-11-25 Wanja Zaeske , Pietro Albini , Florian Gilcher , Umut Durak

Constraint Logic Programming (CLP) and Hereditary Harrop formulas (HH) are two well known ways to enhance the expressivity of Horn clauses. In this paper, we present a novel combination of these two approaches. We show how to enrich the…

Programming Languages · Computer Science 2007-05-23 Javier Leach , Susana Nieva , Mario Rodriguez-Artalejo

Clause sets saturated by hierarchic ordered resolution do not offer a model representation that can be effectively queried, in general. They only offer the guarantee of the existence of a model. We present an effective symbolic model…

Logic in Computer Science · Computer Science 2023-09-19 Martin Bromberger , Lorenz Leutgeb , Christoph Weidenbach

Many applications require conformance with specifications that constrain the use of resources, such as execution time, energy, bandwidth, etc. We have presented a configurable framework for static resource usage verification where…

Programming Languages · Computer Science 2018-03-14 Pedro Lopez-Garcia , Luthfi Darmawan , Maximiliano Klemen , Umer Liqat , Francisco Bueno , Manuel V. Hermenegildo

Manifest contract calculi, which integrate cast-based dynamic contract checking and refinement type systems, have been studied as foundations for hybrid contract checking. In this article, we study techniques to reasoning about a…

Programming Languages · Computer Science 2018-06-20 Taro Sekiyama , Atsushi Igarashi
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