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Related papers: ADCL: Acceleration Driven Clause Learning for Cons…

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We recently proposed Acceleration Driven Clause Learning (ADCL), a novel calculus to analyze satisfiability of Constrained Horn Clauses (CHCs). Here, we adapt ADCL to disprove termination of transition systems, and we evaluate its…

Logic in Computer Science · Computer Science 2023-07-20 Florian Frohn , Jürgen Giesl

We recently proposed Acceleration Driven Clause Learning (ADCL), a novel calculus to analyze satisfiability of Constrained Horn Clauses (CHCs). Here, we adapt ADCL to transition systems and introduce ADCL-NT, a variant for disproving…

Logic in Computer Science · Computer Science 2023-07-10 Florian Frohn , Jürgen Giesl

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

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

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 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

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

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

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

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

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

Catamorphisms are functions that are recursively defined on list and trees and, in general, on Algebraic Data Types (ADTs), and are often used to compute suitable abstractions of programs that manipulate ADTs. Examples of catamorphisms…

Logic in Computer Science · Computer Science 2025-02-19 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

Recursion-free Constrained Horn Clauses (CHCs) are logic-programming problems that can model safety properties of programs with bounded iteration and recursion. In addition, many CHC solvers reduce recursive systems to a series of…

Logic in Computer Science · Computer Science 2018-09-18 Qi Zhou , David Heath , William Harris

Neural networks in safety-critical applications face increasing safety and security concerns due to their susceptibility to little disturbance. In this paper, we propose DeepCDCL, a novel neural network verification framework based on the…

Machine Learning · Computer Science 2024-03-14 Zongxin Liu , Pengfei Yang , Lijun Zhang , Xiaowei Huang

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

The success of Conflict Driven Clause Learning (CDCL) for Boolean satisfiability has inspired adoption in other domains. We present a novel lifting of CDCL to program analysis called Abstract Conflict Driven Learning for Programs (ACDLP).…

Logic in Computer Science · Computer Science 2017-07-10 Rajdeep Mukherjee , Peter Schrammel , Leopold Haller , Daniel Kroening , Tom Melham

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

Loop acceleration can be used to prove safety, reachability, runtime bounds, and (non-)termination of programs. To this end, a variety of acceleration techniques has been proposed. However, so far all of them have been monolithic, i.e., a…

Logic in Computer Science · Computer Science 2022-06-09 Florian Frohn , Carsten Fuhs

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

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
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