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We describe an effort to soundly use off-the-shelf incremental SAT solvers within ACL2 by modeling the behavior of a SAT solver library as an abstract stobj. The interface allows ACL2 programs to use incremental SAT solvers, and the…

计算机科学中的逻辑 · 计算机科学 2018-10-11 Sol Swords

Defeasible entailment is concerned with drawing plausible conclusions from incomplete information. A foundational framework for modelling defeasible entailment is the KLM framework. Introduced by Kraus, Lehmann, and Magidor, the KLM…

人工智能 · 计算机科学 2026-01-08 Racquel Dennison , Jesse Heyninck , Thomas Meyer

In nonadaptive group testing, the main research objective is to design an efficient algorithm to identify a set of up to $t$ positive elements among $n$ samples with as few tests as possible. Disjunct matrices and separable matrices are two…

组合数学 · 数学 2021-10-15 Bingchen Qian , Xin Wang , Gennian Ge

This paper introduces SATFuL, a SAT solver for fuzzy logics. In contrast to the Boolean case, for which numerous SAT solvers exist, the SAT problem for fuzzy logics has attracted less attention, even though these tools have interesting…

计算机科学中的逻辑 · 计算机科学 2026-04-20 Pablo F. Castro

We present a general approach to planning with incomplete information in Answer Set Programming (ASP). More precisely, we consider the problems of conformant and conditional planning with sensing actions and assumptions. We represent…

人工智能 · 计算机科学 2021-08-17 Jorge Fandinno , François Laferrière , Javier Romero , Torsten Schaub , Tran Cao Son

Finding Minimal Unsatisfiable Subsets (MUSes) of binary constraints is a common problem in infeasibility analysis of over-constrained systems. However, because of the exponential search space of the problem, enumerating MUSes is extremely…

人工智能 · 计算机科学 2024-02-27 Panagiotis Lymperopoulos , Liping Liu

We present an extension of Adiabatic Quantum Computing (AQC) algorithm for the unstructured search to the case when the number of marked items is unknown. The algorithm maintains the optimal Grover speedup and includes a small counting…

数学物理 · 物理学 2015-03-17 Zhenwei Cao , Alexander Elgart

We examine the existing Resolution systems for quantified Boolean formulas (QBF) and answer the question which of these calculi can be lifted to the more powerful Dependency QBFs (DQBF). An interesting picture emerges: While for QBF we have…

计算机科学中的逻辑 · 计算机科学 2016-04-28 Olaf Beyersdorff , Leroy Chew , Renate Schmidt , Martin Suda

Benchmarking Quantum Process Units (QPU) at an application level usually requires considering the whole programming stack of the quantum computer. One critical task is the minor-embedding (resp. transpilation) step, which involves…

量子物理 · 物理学 2024-08-02 Valentin Gilbert , Julien Rodriguez , Stéphane Louise

QBF solvers implementing the QCDCL paradigm are powerful algorithms that successfully tackle many computationally complex applications. However, our theoretical understanding of the strength and limitations of these QCDCL solvers is very…

计算机科学中的逻辑 · 计算机科学 2024-02-14 Olaf Beyersdorff , Benjamin Böhm

This note describes a new efficient bit-slice implementation DenseQMC of the Quine-McCluskey algorithm for finding all prime implicants of a Boolean function in the dense case. It is practically feasible for n <= 23 when run on a common…

数据结构与算法 · 计算机科学 2023-02-21 Aleksei Udovenko

This paper develops a parallel computational solver for computing all satifying assignments of a Boolean system of equations defined by Boolean functions of several variables. While there are we known solvers for satisfiability of Boolean…

数据结构与算法 · 计算机科学 2017-02-07 Virendra Sule

Combining the closed-world reasoning of answer set programming (ASP) with the open-world reasoning of ontologies broadens the space of applications of reasoners. Disjunctive hybrid MKNF knowledge bases succinctly extend ASP and in some…

人工智能 · 计算机科学 2021-03-25 Spencer Killen , Jia-Huai You

We obtain the smallest unsatisfiable formulas in subclasses of $k$-CNF (exactly $k$ distinct literals per clause) with bounded variable or literal occurrences. Smaller unsatisfiable formulas of this type translate into stronger…

离散数学 · 计算机科学 2024-07-22 Tianwei Zhang , Tomáš Peitl , Stefan Szeider

Conflict analysis has been successfully generalized from Boolean satisfiability (SAT) solving to mixed integer programming (MIP) solvers, but although MIP solvers operate with general linear inequalities, the conflict analysis in MIP has…

最优化与控制 · 数学 2023-07-27 Gioni Mexi , Timo Berthold , Ambros Gleixner , Jakob Nordström

It has been shown that Maximum Satisfiability (MaxSAT) problem instances can be effectively solved by partitioning the set of soft clauses into several disjoint sets. The partitioning methods can be based on clause weights (e.g.,…

人工智能 · 计算机科学 2023-05-26 Pedro Orvalho , Vasco Manquinho , Ruben Martins

This report describes an extension of the distributed job scheduling and SAT solving platform Mallob by incremental SAT solving, embedded in a case study on SAT-based hierarchical planning. We introduce a low-latency interface for…

分布式、并行与集群计算 · 计算机科学 2025-05-27 Dominik Schreiber

Unique-Cause Modified Condition/Decision Coverage (MC/DC) is widely required in safety-critical verification. A recent deterministic algorithm, Robin's Rule, constructs the theoretical minimum of N+1 test cases for Singular Boolean…

软件工程 · 计算机科学 2026-02-10 Robin Lee , Youngho Nam

The quantified Boolean formula (QBF) problem is an important decision problem generally viewed as the archetype for PSPACE-completeness. Many problems of central interest in AI are in general not included in NP, e.g., planning, model…

计算复杂性 · 计算机科学 2024-05-13 Leif Eriksson , Victor Lagerkvist , George Osipov , Sebastian Ordyniak , Fahad Panolan , Mateusz Rychlicki

A new class of structured codes called Quasi Group Codes (QGC) is introduced. A QGC is a subset of a group code. In contrast with group codes, QGCs are not closed under group addition. The parameters of the QGC can be chosen such that the…

信息论 · 计算机科学 2017-08-03 Mohsen Heidari , Farhad Shirani , Sandeep Pradhan