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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

Motivated by applications in automated verification of higher-order functional programs, we develop a notion of constrained Horn clauses in higher-order logic and a decision problem concerning their satisfiability. We show that, although…

Programming Languages · Computer Science 2017-08-02 Toby Cathcart Burn , C. -H. Luke Ong , Steven J. Ramsay

The functional properties of a program are often specified by providing a contract for each of its functions. A contract of a function consists of a pair of formulas, called a precondition and a postcondition, which, respectively, should…

Logic in Computer Science · Computer Science 2022-11-23 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

Precondition inference is a non-trivial problem with important applications in program analysis and verification. We present a novel iterative method for automatically deriving preconditions for the safety and unsafety of programs. Each…

Programming Languages · Computer Science 2023-06-22 Bishoksan Kafle , Graeme Gange , Peter J. Stuckey , Peter Schachte , Harald Sondergaard

Precondition inference is a non-trivial task with several applications in program analysis and verification. We present a novel iterative method for automatically deriving sufficient preconditions for safety and unsafety of programs which…

Logic in Computer Science · Computer Science 2018-11-19 Bishoksan Kafle , Graeme Gange , Peter Schachte , Harald Sondergaard , Peter J. Stuckey

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

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

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

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

Constrained Horn Clauses (CHCs) have conventionally been used as a low-level representation in formal verification. Most existing solvers use a diverse set of specialized techniques, including direct state space traversal or…

Logic in Computer Science · Computer Science 2024-04-24 Márk Somorjai , Mihály Dobos-Kovács , Zsófia Ádám , Levente Bajczi , András Vörös

Many transformation techniques developed for constraint logic programs, also known as constrained Horn clauses (CHCs), have found new useful applications in the field of program verification. In this paper, we work out a nontrivial case…

Logic in Computer Science · Computer Science 2020-08-10 Emanuele De Angelis , Fabio Fioravanti , Maurizio Proietti

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

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

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 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

We propose a novel method for inferring refinement types of higher-order functional programs. The main advantage of the proposed method is that it can infer maximally preferred (i.e., Pareto optimal) refinement types with respect to a…

Programming Languages · Computer Science 2015-05-19 Kodai Hashimoto , Hiroshi Unno

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

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 present a method for verifying the correctness of imperative programs which is based on the automated transformation of their specifications. Given a program prog, we consider a partial correctness specification of the form $\{\varphi\}$…

Logic in Computer Science · Computer Science 2020-02-19 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

We address the problem of verifying that the functions of a program meet their contracts, specified by pre/postconditions. We follow an approach based on constrained Horn clauses (CHCs) by which the verification problem is reduced to the…

Logic in Computer Science · Computer Science 2022-09-08 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti
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