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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

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

The proof of a program property can be reduced to the proof of satisfiability of a set of constrained Horn clauses (CHCs) which can be automatically generated from the program and the property. In this paper we have conducted a case study…

Logic in Computer Science · Computer Science 2019-07-10 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

Many Program Verification and Synthesis problems of interest can be modeled directly using Horn clauses and many recent advances in the CLP and CAV communities have centered around efficiently solving problems presented as Horn clauses. The…

Logic in Computer Science · Computer Science 2018-09-13 Temesghen Kahsai , German Vidal

We present a method for verifying properties of time-aware business processes, that is, business process where time constraints on the activities are explicitly taken into account. Business processes are specified using an extension of the…

Logic in Computer Science · Computer Science 2016-08-10 Emanuele De Angelis , Fabio Fioravanti , Maria Chiara Meo , Alberto Pettorossi , Maurizio Proietti

We present a method for automatic inference of conditions on the initial states of a program that guarantee that the safety assertions in the program are not violated. Constrained Horn clauses (CHCs) are used to model the program and…

Logic in Computer Science · Computer Science 2018-04-18 Bishoksan Kafle , John P. Gallagher , Graeme Gange , Peter Schachte , Harald Sondergaard , Peter J. Stuckey

We show how automatic tools for the verification of linear and branching time properties of procedural, multi-threaded, and functional programs as well as program synthesis can be naturally and uniformly seen as solvers of constraints in…

Logic in Computer Science · Computer Science 2014-06-02 Andrey Rybalchenko

Verifying programs that manipulate tree data structures often requires complex, ad-hoc proofs that are hard to generalize and automate. This paper introduces an automatic technique for analyzing such programs. Our approach combines automata…

Programming Languages · Computer Science 2024-10-15 Marco Faella , Gennaro Parlato

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

Programs that manipulate tree-shaped data structures often require complex, specialized proofs that are difficult to generalize and automate. This paper introduces a unified, foundational approach to verifying such programs. Central to our…

Programming Languages · Computer Science 2025-05-21 Marco Faella , Gennaro Parlato

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

Analyzing and verifying heap-manipulating programs automatically is challenging. A key for fighting the complexity is to develop compositional methods. For instance, many existing verifiers for heap-manipulating programs require…

Programming Languages · Computer Science 2019-08-28 Long H. Pham , Jun Sun , Quang Loc Le

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

Verification conditions (VCs) are logical formulas whose satisfiability guarantees program correctness. We consider VCs in the form of constrained Horn clauses (CHC) which are automatically generated from the encoding of (an interpreter of)…

Logic in Computer Science · Computer Science 2016-07-18 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

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

Concurrent separation logic with fractional permissions (CSLPerm) provides a promising reasoning system to verify most complex sequential and concurrent fine-grained programs. The logic with strong and weak separating conjunctions offers a…

Logic in Computer Science · Computer Science 2025-10-07 Quang Loc Le

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

Reduction to the satisfiability problem for constrained Horn clauses (CHCs) is a widely studied approach to automated program verification. The current CHC-based methods for pointer-manipulating programs, however, are not very scalable.…

Programming Languages · Computer Science 2020-06-12 Yusuke Matsushita , Takeshi Tsukada , Naoki Kobayashi

The use of temporal logics has long been recognised as a fundamental approach to the formal specification and verification of reactive systems. In this paper, we take on the problem of automatically verifying a temporal property, given by a…

Logic in Computer Science · Computer Science 2016-07-18 Tewodros A. Beyene , Corneliu Popeea , Andrey Rybalchenko

We address the problem of verifying the satisfiability of Constrained Horn Clauses (CHCs) based on theories of inductively defined data structures, such as lists and trees. We propose a transformation technique whose objective is the…

Logic in Computer Science · Computer Science 2018-10-23 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti
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