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Constrained Horn Clauses (CHCs) are an intermediate program representation that can be generated by several verification tools, and that can be processed and solved by a number of Horn solvers. One of the main challenges when using CHCs in…

Logic in Computer Science · Computer Science 2021-04-12 Zafer Esen , Philipp Rümmer

This work proposes a novel approach for automatic verification and synthesis of infinite-state reactive programs with respect to ${CTL}^*$ specifications, based on translation to Existential Horn Clauses (EHCs). $CTL^*$ is a powerful…

Logic in Computer Science · Computer Science 2026-05-13 Mishel Carelli , Orna Grumberg

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

Constrained Horn Clauses (CHCs) are widely adopted as intermediate representations for a variety of verification tasks, including safety checking, invariant synthesis, and interprocedural analysis. This paper introduces CHCVERIF, a…

Software Engineering · Computer Science 2025-10-31 Mihály Dobos-Kovács , Levente Bajczi , András Vörös

This paper presents a verification framework based on a new class of predicate Constraint Satisfaction Problems called pCSP where constraints are represented as clauses modulo first-order theories over function variables and predicate…

Programming Languages · Computer Science 2020-07-08 Hiroshi Unno , Yuki Satake , Tachio Terauchi , Eric Koskinen

Formal verification provides strong guarantees of correctness of software, which are especially important in safety or security critical systems. Hoare logic is a widely used formalism for rigorous verification of software against…

Programming Languages · Computer Science 2021-03-11 Jayaraj Poroor

In recent years they have been numerous works that aim to automate relational verification. Meanwhile, although Constrained Horn Clauses (CHCs) empower a wide range of verification techniques and tools, they lack the ability to express…

Programming Languages · Computer Science 2021-06-07 Hiroshi Unno , Tachio Terauchi , Eric Koskinen

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

This paper presents a proof system for reasoning about execution time bounds for a core imperative programming language. Proof systems are defined for three different scenarios: approximations of the worst-case execution time, exact time…

Programming Languages · Computer Science 2022-10-28 Ana Carolina Silva , Manuel Barbosa , Mario Florido

We present an approach to constrained Horn clause (CHC) verification combining three techniques: abstract interpretation over a domain of convex polyhedra, specialisation of the constraints in CHCs using abstract interpretation of…

Logic in Computer Science · Computer Science 2014-12-04 Bishoksan Kafle , John P. Gallagher

Constrained Horn Clauses (CHCs) are often used in automated program verification. Thus, techniques for (dis-)proving satisfiability of CHCs are a very active field of research. On the other hand, acceleration techniques for computing…

Logic in Computer Science · Computer Science 2023-07-17 Florian Frohn , Jürgen Giesl

Verification problems of programs written in various paradigms (such as imperative, logic, concurrent, functional, and object-oriented ones) can be reduced to problems of solving Horn clause constraints on predicate variables that represent…

Programming Languages · Computer Science 2016-10-24 Hiroshi Unno , Sho Torii

We present a method based on program analysis and formal verification to identify conditionally relevant variables (CRVs) - variables which could lead to violation of safety properties in control software when affected by single event…

Software Engineering · Computer Science 2025-05-13 Ganesha , Sujit Kumar Chakrabarti

For high-assurance software, source-level reasoning is insufficient: we need binary-level guarantees. Despite constrained Horn clause (CHC) solving being one of the most popular forms of automated verification, prior work has not evaluated…

Programming Languages · Computer Science 2026-03-31 Aaron Bembenek , Toby Murray

It is well-known that the verification of partial correctness properties of imperative programs can be reduced to the satisfiability problem for constrained Horn clauses (CHCs). However, state-of-the-art solvers for CHCs (CHC solvers) based…

Logic in Computer Science · Computer Science 2018-06-29 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

It is known that the verification of imperative, functional, and logic programs can be reduced to the satisfiability of constrained Horn clauses (CHCs), and this satisfiability check can be performed by using CHC solvers, such as Eldarica…

Logic in Computer Science · Computer Science 2019-08-21 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

Despite decades of research, there are still a number of concepts commonly found in software programs that are considered challenging for verification: among others, such concepts include concurrency, and the compositional analysis of…

Logic in Computer Science · Computer Science 2013-02-19 Philipp Rümmer , Hossein Hojjat , Viktor Kuncak

We study the problem of completely automatically verifying uninterpreted programs---programs that work over arbitrary data models that provide an interpretation for the constants, functions and relations the program uses. The verification…

Programming Languages · Computer Science 2020-08-27 Umang Mathur , P. Madhusudan , Mahesh Viswanathan

We present a verification technique for program safety that combines Iterated Specialization and Interpolating Horn Clause Solving. Our new method composes together these two techniques in a modular way by exploiting the common Horn Clause…

Logic in Computer Science · Computer Science 2014-12-04 Emanuele De Angelis , Fabio Fioravanti , Jorge A. Navas , Maurizio Proietti

We address the problem of checking the satisfiability of a set of constrained Horn clauses (CHCs) possibly including more than one query. We propose a transformation technique that takes as input a set of CHCs, including a set of queries,…

Logic in Computer Science · Computer Science 2024-01-15 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti