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Higher-order constrained Horn clauses (HoCHC) are a semantically-invariant system of higher-order logic modulo theories. With semi-decidable unsolvability over a semi-decidable background theory, HoCHC is suitable for safety verification.…

Formal Languages and Automata Theory · Computer Science 2021-09-13 Jerome Jochems

Program verification and synthesis frameworks that allow one to customize the language in which one is interested typically require the user to provide a formally defined semantics for the language. Because writing a formal semantics can be…

Programming Languages · Computer Science 2024-09-10 Jiangyi Liu , Charlie Murphy , Anvay Grover , Keith J. C. Johnson , Thomas Reps , Loris D'Antoni

We address the problem of verifying automatically procedural programs manipulating parametric-size arrays of integers, encoded as a constrained Horn clauses solving problem. We propose a new algorithmic method for synthesizing loop…

Programming Languages · Computer Science 2025-05-23 Ahmed Bouajjani , Wael-Amine Boutglay , Peter Habermehl

This article examines the use of the Prolog language for writing verification, analysis and transformation tools. Guided by experience in teaching and the development of verification tools like ProB or specialisation tools like ECCE and…

Programming Languages · Computer Science 2020-08-10 Michael Leuschel

We report on work in progress on automatic procedures for proving properties of programs written in higher-order functional languages. Our approach encodes higher-order programs directly as first-order SMT problems over Horn clauses. It is…

Logic in Computer Science · Computer Science 2013-06-25 Nikolaj Bjorner , Ken McMillan , Andrey Rybalchenko

Formal reasoning about finite sets and cardinality is an important tool for many applications, including software verification, where very often one needs to reason about the size of a given data structure and not only about what its…

Logic in Computer Science · Computer Science 2021-10-06 Maximiliano Cristiá , Gianfranco Rossi

Constraint Handling Rules (CHR) is both an effective concurrent declarative constraint-based programming language and a versatile computational formalism. While conceptually simple, CHR is distinguished by a remarkable combination of…

Programming Languages · Computer Science 2017-01-11 Thom Fruehwirth

This paper proposes an evaluation of the adequacy of the constraint logic programming paradigm for natural language processing. Theoretical aspects of this question have been discussed in several works. We adopt here a pragmatic point of…

cmp-lg · Computer Science 2008-02-03 Philippe Blache , Nabil Hathout

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

Optimization and Control · Mathematics 2023-05-01 Antonio Alcántara , Carlos Ruiz

In order to properly test software, test data of a certain quality is needed. However, useful test data is often unavailable: Existing or hand-crafted data might not be diverse enough to enable desired test cases. Furthermore, using…

Logic in Computer Science · Computer Science 2019-08-28 Sebastian Krings , Joshua Schmidt , Patrick Skowronek , Jannik Dunkelau , Dierk Ehmke

Tabled Constraint Logic Programming is a powerful execution mechanism for dealing with Constraint Logic Programming without worrying about fixpoint computation. Various applications, e.g in the fields of program analysis and model checking,…

Programming Languages · Computer Science 2007-12-27 Tom Schrijvers , Bart Demoen , David S. Warren

Slicing is a program analysis technique originally developed for imperative languages. It facilitates understanding of data flow and debugging. This paper discusses slicing of Constraint Logic Programs. Constraint Logic Programming (CLP) is…

Software Engineering · Computer Science 2007-05-23 Gyongyi Szilagyi , Tibor Gyimothy , Jan Maluszynski

Higher-order constructs extend the expressiveness of first-order (Constraint) Logic Programming ((C)LP) both syntactically and semantically. At the same time assertions have been in use for some time in (C)LP systems helping programmers…

Programming Languages · Computer Science 2014-06-03 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

{log} (read 'setlog') was born as a Constraint Logic Programming (CLP) language where sets and binary relations are first-class citizens, thus fostering set programming. Internally, {log} is a constraint satisfiability solver implementing…

Logic in Computer Science · Computer Science 2026-03-13 Maximiliano Cristiá , Alfredo Capozucca , Gianfranco Rossi

A recent case study from AWS by Chong et al. proposes an effective methodology for Bounded Model Checking in industry. In this paper, we report on a follow up case study that explores the methodology from the perspective of three research…

Software Engineering · Computer Science 2021-07-05 Siddharth Priya , Xiang Zhou , Yusen Su , Yakir Vizel , Yuyan Bao , Arie Gurfinkel

Higher-order constructs extend the expressiveness of first-order (Constraint) Logic Programming ((C)LP) both syntactically and semantically. At the same time assertions have been in use for some time in (C)LP systems helping programmers…

Programming Languages · Computer Science 2014-04-17 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

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

This Survey provides an overview of techniques in termination analysis for programs with numerical variables and transitions defined by linear constraints. This subarea of program analysis is challenging due to the existence of undecidable…

Programming Languages · Computer Science 2026-01-27 Amir M. Ben-Amram , Samir Genaim , Joël Ouaknine , James Worrell

Language models (LMs) can generate code but cannot guarantee its correctness$\unicode{x2014}$often producing outputs that violate type safety, program invariants, or other semantic properties. Constrained decoding offers a solution by…

Programming Languages · Computer Science 2025-12-03 Shaan Nagy , Timothy Zhou , Nadia Polikarpova , Loris D'Antoni

In this paper we discuss the optimizing compilation of Constraint Handling Rules (CHRs). CHRs are a multi-headed committed choice constraint language, commonly applied for writing incremental constraint solvers. CHRs are usually implemented…

Programming Languages · Computer Science 2010-09-03 Christian Holzbaur , Maria Garcia de la Banda , Peter J. Stuckey , Gregory J. Duck