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CLP(H) is an instantiation of the general constraint logic programming scheme with the constraint domain of hedges. Hedges are finite sequences of unranked terms, built over variadic function symbols and three kinds of variables: for terms,…

Logic in Computer Science · Computer Science 2016-08-08 Besik Dundua , Mário Florido , Temur Kutsia , Mircea Marin

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

Causal reasoning and compositional reasoning are two core aspirations in AI. Measuring the extent of these behaviors requires principled evaluation methods. We explore a unified perspective that considers both behaviors simultaneously,…

Computation and Language · Computer Science 2025-06-11 Jacqueline R. M. A. Maasch , Alihan Hüyük , Xinnuo Xu , Aditya V. Nori , Javier Gonzalez

This paper surveys recent work on applying analysis and transformation techniques that originate in the field of constraint logic programming (CLP) to the problem of verifying software systems. We present specialisation-based techniques for…

Logic in Computer Science · Computer Science 2021-08-03 Emanuele De Angelis , Fabio Fioravanti , John P. Gallagher , Manuel V. Hermenegildo , Alberto Pettorossi , Maurizio Proietti

We present a compositional SMT-based algorithm for safety of procedural C programs that takes the heap into consideration as well. Existing SMT-based approaches are either largely restricted to handling linear arithmetic operations and…

Logic in Computer Science · Computer Science 2015-08-07 Anvesh Komuravelli , Nikolaj Bjorner , Arie Gurfinkel , Kenneth L. McMillan

We consider constrained Horn clause solving from the more general point of view of solving formula equations. Constrained Horn clauses correspond to the subclass of Horn formula equations. We state and prove a fixed-point theorem for Horn…

Logic in Computer Science · Computer Science 2021-09-13 Stefan Hetzl , Johannes Kloibhofer

Several techniques and tools have been developed for verification of properties expressed as Horn clauses with constraints over a background theory (CHC). Current CHC verification tools implement intricate algorithms and are often limited…

Programming Languages · Computer Science 2014-05-16 John P. Gallagher , Bishoksan Kafle

A desired but challenging property of compiler verification is compositionality, in the sense that the compilation correctness of a program can be deduced incrementally from that of its substructures ranging from statements, functions, and…

Programming Languages · Computer Science 2026-03-31 Zhang Cheng , Jiyang Wu , Di Wang , Qinxiang Cao

Contextual refinement (CR) is one of the standard notions of specifying open programs. CR has two main advantages: (i) (horizontal and vertical) compositionality that allows us to decompose a large contextual refinement into many smaller…

Programming Languages · Computer Science 2022-03-16 Youngju Song , Minki Cho , Dongjae Lee , Chung-Kil Hur

Writing specifications for computer programs is not easy since one has to take into account the disparate conceptual worlds of the application domain and of software development. To bridge this conceptual gap we propose controlled natural…

cmp-lg · Computer Science 2008-02-03 Norbert E. Fuchs , Rolf Schwitter

This paper presents a study of operational and type-theoretic properties of different resolution strategies in Horn clause logic. We distinguish four different kinds of resolution: resolution by unification (SLD-resolution), resolution by…

Logic in Computer Science · Computer Science 2016-10-31 Peng Fu , Ekaterina Komendantskaya

String constraint solving refers to solving combinatorial problems involving constraints over string variables. String solving approaches have become popular over the last years given the massive use of strings in different application…

Artificial Intelligence · Computer Science 2021-07-01 Roberto Amadini

Linear constraints are the linear counterpart of Haskell's class constraints. Linearly typed parameters allow the programmer to control resources such as file handles and manually managed memory as linear arguments. Indeed, a linear type…

Programming Languages · Computer Science 2026-04-24 Arnaud Spiwack , Csongor Kiss , Jean-Philippe Bernardy , Nicolas Wu , Richard A. Eisenberg

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

Logically constrained term rewriting systems (LCTRSs) are a program analyzing formalism with native support for data types which are not (co)inductively defined. As a first-order formalism, LCTRSs have accommodated only analysis of…

Logic in Computer Science · Computer Science 2023-07-26 Liye Guo , Cynthia Kop

This paper presents a programming language which includes paradigms that are usually associated with declarative languages, such as sets, rules and search, into an imperative (functional) language. Although these paradigms are separately…

Programming Languages · Computer Science 2007-05-23 Yves Caseau , Francois-Xavier Josset , Francois Laburthe

Compositional Explanations is a method for identifying logical formulas of concepts that approximate the neurons' behavior. However, these explanations are linked to the small spectrum of neuron activations (i.e., the highest ones) used to…

Machine Learning · Computer Science 2023-10-31 Biagio La Rosa , Leilani H. Gilpin , Roberto Capobianco

Recursion-free Constrained Horn Clauses (CHCs) are logic-programming problems that can model safety properties of programs with bounded iteration and recursion. In addition, many CHC solvers reduce recursive systems to a series of…

Logic in Computer Science · Computer Science 2018-09-18 Qi Zhou , David Heath , William Harris

The literature on concurrency theory offers a wealth of examples of characteristic-formula constructions for various behavioural relations over finite labelled transition systems and Kripke structures that are defined in terms of fixed…

Logic in Computer Science · Computer Science 2009-11-11 Luca Aceto , Anna Ingolfsdottir , Joshua Sack

Component frameworks are complex systems that rely on many layers of abstraction to function properly. One essential requirement is a consistent means of describing each individual component and how it relates to both other components and…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-09 Gabrielle Allen , Tom Goodale , Frank Löffler , David Rideout , Erik Schnetter , Eric L. Seidel