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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

Modern conflict-driven clause learning (CDCL) SAT solvers are very good in solving conjunctive normal form (CNF) formulas. However, some application problems involve lots of parity (xor) constraints which are not necessarily efficiently…

Logic in Computer Science · Computer Science 2014-07-25 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Higher-order constrained Horn clauses (HoCHC) are a semantically-invariant system of higher-order logic modulo theories. With semi-decidable unsolvability over a semi-decidable background theory, HoCHC is suitable for safety verification.…

Formal Languages and Automata Theory · Computer Science 2021-09-13 Jerome Jochems

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

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

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

Efficient implementations of DPLL with the addition of clause learning are the fastest complete Boolean satisfiability solvers and can handle many significant real-world problems, such as verification, planning and design. Despite its…

Artificial Intelligence · Computer Science 2011-07-04 P. Beame , H. Kautz , A. Sabharwal

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

We previously designed Partial Order Conflict Driven Clause Learning (PO-CDCL), a variation of the satisfiability solving CDCL algorithm with a partial order on decision levels, and showed that it can speed up the solving on problems with a…

Artificial Intelligence · Computer Science 2013-02-01 Anthony Monnet , Roger Villemaire

Conflict-Driven Clause Learning (CDCL) is the mainstream framework for solving the Satisfiability problem (SAT), and CDCL solvers typically rely on various heuristics, which have a significant impact on their performance. Modern CDCL…

Artificial Intelligence · Computer Science 2024-11-14 Yiwen Sun , Furong Ye , Xianyin Zhang , Shiyu Huang , Bingzhen Zhang , Ke Wei , Shaowei Cai

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

Optimization and Control · Mathematics 2023-05-01 Antonio Alcántara , Carlos Ruiz

Efficient decision-making over continuously changing data is essential for many application domains such as cyber-physical systems, industry digitalization, etc. Modern stream reasoning frameworks allow one to model and solve various…

Artificial Intelligence · Computer Science 2020-08-10 Carmine Dodaro , Thomas Eiter , Paul Ogris , Konstantin Schekotihin

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

Constraint Logic Programming (CLP) and Hereditary Harrop formulas (HH) are two well known ways to enhance the expressivity of Horn clauses. In this paper, we present a novel combination of these two approaches. We show how to enrich the…

Programming Languages · Computer Science 2007-05-23 Javier Leach , Susana Nieva , Mario Rodriguez-Artalejo

Boolean Satisfiability (SAT) solving underpins a wide range of applications in Electronic Design Automation (EDA), particularly formal verification. However, this paper observes that the mainstream clause reduction heuristic in modern SAT…

Logic in Computer Science · Computer Science 2026-02-26 Yalun Cai , Xindi Zhang , Zhengyuan Shi , Mengxia Tao , Qiang Xu

The practical success of Boolean Satisfiability (SAT) solvers stems from the CDCL (Conflict-Driven Clause Learning) approach to SAT solving. However, from a propositional proof complexity perspective, CDCL is no more powerful than the…

Logic in Computer Science · Computer Science 2017-07-06 Alexey Ignatiev , Antonio Morgado , Joao Marques-Silva

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

Argument component detection (ACD) is an important sub-task in argumentation mining. ACD aims at detecting and classifying different argument components in natural language texts. Historical annotations (HAs) are important features the…

Computation and Language · Computer Science 2017-02-22 Yang Gao , Hao Wang , Chen Zhang , Wei Wang

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 propose a new parameter called proofdoor in an attempt to explain the efficiency of CDCL SAT solvers over formulas derived from circuit (esp., arithmetic) verification applications. Informally, given an unsatisfiable CNF formula F over n…

Computational Complexity · Computer Science 2026-03-30 Sunidhi Singh , Vincent Liew , Marc Vinyals , Vijay Ganesh