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Formal verification techniques are widely used for detecting design flaws in software systems. Formal verification can be done by transforming an already implemented source code to a formal model and attempting to prove certain properties…

Software Engineering · Computer Science 2017-08-28 Gyula Sallai , Ákos Hajdu , Tamás Tóth , Zoltán Micskei

Linear programming (LP) problems with gainfree Leontief substitution systems have been intensively studied in economics and operations research, and include the feasibility problem of a class of Horn systems, which arises in, e.g.,…

Data Structures and Algorithms · Computer Science 2023-06-07 Kei Kimura , Kazuhisa Makino

In this paper, we show how the notion of tree dimension can be used in the verification of constrained Horn clauses (CHCs). The dimension of a tree is a numerical measure of its branching complexity and the concept here applies to Horn…

Logic in Computer Science · Computer Science 2018-03-07 Bishoksan Kafle , John P. Gallagher , Pierre Ganty

Software verification has emerged as a key concern for ensuring the continued progress of information technology. Full verification generally requires, as a crucial step, equipping each loop with a "loop invariant". Beyond their role in…

Software Engineering · Computer Science 2014-01-14 Carlo A. Furia , Bertrand Meyer , Sergey Velder

Large Language Models (LLMs) have shown remarkable capabilities in solving various programming tasks, such as code generation. However, their potential for code optimization, particularly in performance enhancement, remains largely…

Programming Languages · Computer Science 2026-02-26 Tong Ye , Tengfei Ma , Xuhong Zhang , Hang Yu , Jianwei Yin , Wenhai Wang

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

We propose a novel approach to satisfiability checking of Constrained Horn Clauses (CHCs) over Algebraic Data Types (ADTs). CHC-based automated verification has gained considerable attention in recent years, leading to the development of…

Logic in Computer Science · Computer Science 2025-07-29 Hiroyuki Katsura , Naoki Kobayashi , Ken Sakayori , Ryosuke Sato

Automatic software verification tools help to find hard-to-detect faults in programs checked against specified requirements non-interactively. Besides, they can prove program correctness formally under certain assumptions. These…

Software Engineering · Computer Science 2023-09-29 Ilja Zakharov , Evgeny Novikov , Ilya Shchepetkov

We explore an approach to verification of programs via program transformation applied to an interpreter of a programming language. A specialization technique known as Turchin's supercompilation is used to specialize some interpreters with…

Programming Languages · Computer Science 2017-08-31 Alexei P. Lisitsa , Andrei P. Nemytykh

Optimizing compilers have become a cornerstone for high-performance program generation in research and industry. Optimizations, including those implemented manually by a user and those target-specific and non-target-specific, are used to…

Programming Languages · Computer Science 2026-05-05 Emily Tucker , Louis-Noël Pouchet , Erika Hunhoff , Stephen Neuendorffer , Erwei Wang

We present Ultimate TreeAutomizer, a solver for satisfiability of sets of constrained Horn clauses. Constrained Horn clauses (CHC) are a fragment of first order logic with attractive properties in terms of expressiveness and accessibility…

Logic in Computer Science · Computer Science 2019-07-10 Daniel Dietsch , Matthias Heizmann , Jochen Hoenicke , Alexander Nutz , Andreas Podelski

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

We introduce a transformation system for concurrent constraint programming (CCP). We define suitable applicability conditions for the transformations which guarantee that the input/output CCP semantics is preserved also when distinguishing…

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

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

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

We explore an approach to verification of programs via program transformation applied to an interpreter of a programming language. A specialization technique known as Turchin's supercompilation is used to specialize some interpreters with…

Programming Languages · Computer Science 2017-05-22 Alexei P. Lisitsa , Andrei P. Nemytykh

Nowadays, formal methods are used in various areas for the verification of programs or for code generation from models in order to increase the quality of software and to reduce costs. However, there are still fields in which formal methods…

Software Engineering · Computer Science 2021-07-01 Matthias Weiß , Philipp Marks , Benjamin Maschler , Dustin White , Pascal Kesseli , Michael Weyrich

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

An important aspect of many particle accelerators is the constant evolution and frequent configuration changes that are needed to perform the experiments they are designed for. This often leads to the design of configurable software that…

Constraint Handling Rules (CHR) is a committed-choice rule-based language that was originally intended for writing constraint solvers. In this paper we show that it is also possible to write the classic union-find algorithm and variants in…

Programming Languages · Computer Science 2007-05-23 Tom Schrijvers , Thom Fruehwirth
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