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We present Alias Refinement Types (ART), a new approach to the verification of correctness properties of linked data structures. While there are many techniques for checking that a heap-manipulating program adheres to its specification,…

Programming Languages · Computer Science 2015-11-03 Alexander Bakst , Ranjit Jhala

This paper investigates the combination of abstract interpretation over the domain of convex polyhedra with interpolant tree automata, in an abstraction-refinement scheme for Horn clause verification. These techniques have been previously…

Logic in Computer Science · Computer Science 2016-07-12 Bishoksan Kafle , John P. Gallagher

We address the problem of proving the satisfiability of Constrained Horn Clauses (CHCs) with Algebraic Data Types (ADTs), such as lists and trees. We propose a new technique for transforming CHCs with ADTs into CHCs where predicates are…

Programming Languages · Computer Science 2020-10-05 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

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

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

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

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

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

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

This paper studies how to use relation algebras, which are useful for high-level specification and verification, for proving the correctness of lower-level array-based implementations of algorithms. We give a simple relation-algebraic…

Logic in Computer Science · Computer Science 2026-04-08 Walter Guttmann

We address the problem of checking the satisfiability of Constrained Horn Clauses (CHCs) defined on Algebraic Data Types (ADTs), such as lists and trees. We propose a new technique for transforming CHCs defined on ADTs into CHCs where the…

Programming Languages · Computer Science 2021-11-24 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

Abstraction (in its various forms) is a powerful established technique in model-checking; still, when unbounded data-structures are concerned, it cannot always cope with divergence phenomena in a satisfactory way. Acceleration is an…

Logic in Computer Science · Computer Science 2013-10-04 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

Convex polyhedra are the basis for several abstractions used in static analysis and computer-aided verification of complex and sometimes mission critical systems. For such applications, the identification of an appropriate…

Computational Geometry · Computer Science 2009-09-29 Roberto Bagnara , Patricia M. Hill , Enea Zaffanella

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

Alternation of forward and backward analyses is a standard technique in abstract interpretation of programs, which is in particular useful when we wish to prove unreachability of some undesired program states. The current state-of-the-art…

Programming Languages · Computer Science 2017-08-08 Alexey Bakhirkin , David Monniaux

Commutativity has proven to be a powerful tool in reasoning about concurrent programs. Recent work has shown that a commutativity-based reduction of a program may admit simpler proofs than the program itself. The framework of…

Programming Languages · Computer Science 2023-11-07 Azadeh Farzan , Dominik Klumpp , Andreas Podelski

Approximate computing (AC) is an emerging paradigm for energy-efficient computation. The basic idea of AC is to sacrifice high precision for low energy by allowing for hardware which only carries out "approximately correct" calculations.…

Software Engineering · Computer Science 2016-05-10 Tobias Isenberg , Marie-Christine Jakobs , Felix Pauck , Heike Wehrheim

Contextual refinement and separation logics are successful verification techniques that are very different in nature. First, the former guarantees behavioral refinement between a concrete program and an abstract program while the latter…

Programming Languages · Computer Science 2021-09-08 Youngju Song , Minki Cho , Dongjae Lee , Chung-Kil Hur

Hyperproperties govern the behavior of a system or systems across multiple executions, and are being recognized as an important extension of regular temporal properties. So far, such properties have resisted comprehensive treatment by…

Logic in Computer Science · Computer Science 2024-02-02 Shachar Itzhaky , Sharon Shoham , Yakir Vizel

Automatically verifying safety properties of programs is hard, and it is even harder if the program acts upon arrays or other forms of maps. Many approaches exist for verifying programs operating upon Boolean and integer values (e.g.…

Programming Languages · Computer Science 2015-10-01 David Monniaux , Laure Gonnord