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In recent years, expansion-based techniques have been shown to be very powerful in theory and practice for solving quantified Boolean formulas (QBF), the extension of propositional formulas with existential and universal quantifiers over…

Logic in Computer Science · Computer Science 2018-10-08 Roderick Bloem , Nicolas Braud-Santoni , Vedad Hadzic , Uwe Egly , Florian Lonsing , Martina Seidl

This article presents the use of Answer Set Programming (ASP) to mine sequential patterns. ASP is a high-level declarative logic programming paradigm for high level encoding combinatorial and optimization problem solving as well as…

Artificial Intelligence · Computer Science 2017-11-15 Thomas Guyet , Yves Moinard , René Quiniou , Torsten Schaub

Recently various optimization problems, such as Mixed Integer Linear Programming Problems (MILPs), have undergone comprehensive investigation, leveraging the capabilities of machine learning. This work focuses on learning-based solutions…

Machine Learning · Computer Science 2024-06-21 Zhentao Tan , Yadong Mu

With the growing interest in quantum programs, ensuring their correctness is a fundamental challenge. Although constraint-solving techniques can overcome some limitations of traditional testing and verification, they have not yet been…

Quantum Physics · Physics 2026-02-25 Shangzhou Xia , Haitao Fu , Jianjun Zhao

Over the last few years, much progress has been made in the theory and practice of solving quantified Boolean formulas (QBF). Novel solvers have been presented that either successfully enhance established techniques or implement novel…

Logic in Computer Science · Computer Science 2016-04-21 Florian Lonsing , Martina Seidl , Allen Van Gelder

Resolution is the rule of inference at the basis of most procedures for automated reasoning. In these procedures, the input formula is first translated into an equisatisfiable formula in conjunctive normal form (CNF) and then represented as…

Artificial Intelligence · Computer Science 2011-11-04 E. Giunchiglia , M. Narizzano , A. Tacchella

Answer Set Programming (ASP) is a powerful declarative programming paradigm commonly used for solving challenging search and optimization problems. The modeling languages of ASP are supported by sophisticated solving algorithms (solvers)…

Logic in Computer Science · Computer Science 2022-08-08 Zach Hansen

Quantified Boolean formulas (QBFs) generalize propositional formulas by admitting quantifications over propositional variables. QBFs can be viewed as (restricted) formulas of first-order predicate logic and easy translations of QBFs into…

Logic in Computer Science · Computer Science 2016-04-25 Uwe Egly

The aim of this PhD project is to develop fast and robust reasoning tools for dependency quantified Boolean formulas (DQBF). In this paper, we outline two properties, autarkies and symmetries, that potentially can be exploited for pre- and…

Logic in Computer Science · Computer Science 2019-10-04 Ankit Shukla

In this paper we propose an extension of Answer Set Programming (ASP), and in particular, of its most general logical counterpart, Quantified Equilibrium Logic (QEL), to deal with partial functions. Although the treatment of equality in QEL…

Logic in Computer Science · Computer Science 2010-06-21 Pedro Cabalar

Answer Set Programming (ASP) is a declarative programming language used for modeling and solving complex combinatorial problems. It has been successfully applied to a number of different realworld problems. However, learning its usage can…

Software Engineering · Computer Science 2026-03-31 Rafael Martins , Matthias Knorr , Ricardo Gonçalves

Incremental SAT and QBF solving potentially yields improvements when sequences of related formulas are solved. An incremental application is usually tailored towards some specific solver and decomposes a problem into incremental solver…

Logic in Computer Science · Computer Science 2015-12-04 Uwe Egly , Florian Lonsing , Johannes Oetsch

Programming Computable Functions (PCF) is a simplified programming language which provides the theoretical basis of modern functional programming languages. Answer set programming (ASP) is a programming paradigm focused on solving search…

Programming Languages · Computer Science 2018-08-24 Ingmar Dasseville , Marc Denecker

Answer Set Programming (ASP) is a logic-based knowledge representation framework, supporting---among other reasoning modes---the central task of query answering. In the propositional case, query answering amounts to computing cautious…

Logic in Computer Science · Computer Science 2018-04-24 Mario Alviano , Carmine Dodaro , Matti Järvisalo , Marco Maratea , Alessandro Previti

Current algorithms for bounded model checking use SAT methods for checking satisfiability of Boolean formulae. These methods suffer from the potential memory explosion problem. Methods based on the validity of Quantified Boolean Formulae…

Logic in Computer Science · Computer Science 2011-11-09 Jacob Katz , Ziyad Hanna , Nachum Dershowitz

Answer Set Programming (ASP) is a well-established declarative problem solving paradigm which became widely used in AI and recognized as a powerful tool for knowledge representation and reasoning (KRR), especially for its high…

Artificial Intelligence · Computer Science 2017-07-24 Francesco Calimeri , Davide Fuscà , Stefano Germano , Simona Perri , Jessica Zangari

There is growing interest in solving computer vision problems such as mesh or point set alignment using Adiabatic Quantum Computing (AQC). Unfortunately, modern experimental AQC devices such as D-Wave only support Quadratic Unconstrained…

We introduce a novel generalization of Counterexample-Guided Inductive Synthesis (CEGIS) and instantiate it to yield a novel, competitive algorithm for solving Quantified Boolean Formulas (QBF). Current QBF solvers based on…

Logic in Computer Science · Computer Science 2018-07-30 Roderick Bloem , Nicolas Braud-Santoni , Vedad Hadzic

Dependency quantified Boolean formulas (DQBF) is a logic admitting existential quantification over Boolean functions, which allows us to elegantly state synthesis problems in verification such as the search for invariants, programs, or…

Logic in Computer Science · Computer Science 2019-05-08 Leander Tentrup , Markus N. Rabe

Quantum Signal Processing (QSP) is a technique that can be used to implement a polynomial transformation $P(x)$ applied to the eigenvalues of a unitary $U$, essentially implementing the operation $P(U)$, provided that $P$ satisfies some…

Quantum Physics · Physics 2023-03-21 Lorenzo Laneve