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We review a minimum set of notions from our previous paper on structural properties of SAT at arXiv:0802.1790 that will allow us to define and discuss the "complete internal independence" of a decision problem. This property is strictly…

Computational Complexity · Computer Science 2008-05-21 Silvano Di Zenzo

We offer a new understanding of some aspects of practical SAT-solvers that are based on DPLL with unit-clause propagation, clause-learning, and restarts. We do so by analyzing a concrete algorithm which we claim is faithful to what…

Logic in Computer Science · Computer Science 2014-01-17 Albert Atserias , Johannes Klaus Fichte , Marc Thurley

While syntactic inference restrictions don't play an important role for SAT, they are an essential reasoning technique for more expressive logics, such as first-order logic, or fragments thereof. In particular, they can result in short…

Logic in Computer Science · Computer Science 2020-01-01 Christoph Weidenbach

Chronological backtracking is an interesting SAT solving technique within CDCL reasoning, as it backtracks less aggressively upon conflicts. However, chronological backtracking is more difficult to maintain due to its weaker SAT solving…

Logic in Computer Science · Computer Science 2025-01-14 Robin Coutelier , Mathias Fleury , Laura Kovács

It is widely acknowledged that function symbols are an important feature in answer set programming, as they make modeling easier, increase the expressive power, and allow us to deal with infinite domains. The main issue with their…

Artificial Intelligence · Computer Science 2020-02-19 Marco Calautti , Sergio Greco , Cristian Molinaro , Irina Trubitsyna

It is crucial to generate crafted SAT formulas with predefined solutions for the testing and development of SAT solvers since many SAT formulas from real-world applications have solutions. Although some generating algorithms have been…

Artificial Intelligence · Computer Science 2019-02-27 Yamin Hu , Wenjian Luo , Junteng Wang

In various scenarios, a single phase of modelling and solving is either not sufficient or not feasible to solve the problem at hand. A standard approach to solving AI planning problems, for example, is to incrementally extend the planning…

Artificial Intelligence · Computer Science 2020-09-24 Gökberk Koçak , Özgür Akgün , Nguyen Dang , Ian Miguel

Self-Admitted Technical Debt (SATD) refers to instances where developers knowingly introduce suboptimal solutions into code and document them, often through textual artifacts. This paper provides a comprehensive state-of-practice report on…

Software Engineering · Computer Science 2025-03-20 Edi Sutoyo , Andrea Capiluppi

It is generally recognized that a distinguishing feature of life is its peculiar capability to avoid equilibration. The origin of this capability and its evolution along the timeline of abiogenesis is not yet understood. We propose to study…

Molecular Networks · Quantitative Biology 2016-10-13 Dmitry Yu. Zubarev , Leonardo A. Pachón

We present a selective bibliography about efficient SAT solving, focused on optimizations for the CDCL-based algorithms.

Logic in Computer Science · Computer Science 2018-04-24 Louis Abraham

One of the most studied models of SAT is random SAT. In this model, instances are composed from clauses chosen uniformly randomly and independently of each other. This model may be unsatisfactory in that it fails to describe various…

Data Structures and Algorithms · Computer Science 2022-02-04 Dina Barak-Pelleg , Daniel Berend , J. C. Saunders

In this paper we present a satisfiability-preserving reduction from MITL interpreted over finitely-variable continuous behaviors to Constraint LTL over clocks, a variant of CLTL that is decidable, and for which an SMT-based bounded…

Logic in Computer Science · Computer Science 2013-07-18 Marcello Maria Bersani , Matteo Rossi , Pierluigi San Pietro

The Boolean satisfiability (SAT) problem lies at the core of many applications in combinatorial optimization, software verification, cryptography, and machine learning. While state-of-the-art solvers have demonstrated high efficiency in…

Logic in Computer Science · Computer Science 2025-06-03 Zhiwei Zhang , Samy Wu Fung , Anastasios Kyrillidis , Stanley Osher , Moshe Y. Vardi

In this paper, we investigate the strength of six different SAT solvers in attacking various obfuscation schemes. Our investigation revealed that Glucose and Lingeling SAT solvers are generally suited for attacking small-to-midsize…

Cryptography and Security · Computer Science 2018-05-02 Shervin Roshanisefat , Harshith K. Thirumala , Kris Gaj , Houman Homayoun , Avesta Sasan

We observe a trend regarding restart strategies used in SAT solvers. A few years ago, most state-of-the-art solvers restarted on average after a few thousands of backtracks. Currently, restarting after a dozen backtracks results in much…

Artificial Intelligence · Computer Science 2014-02-19 Shai Haim , Marijn Heule

Interference is a phenomenon on proof systems for SAT solving that is both counter-intuitive and bothersome when developing proof-logging techniques. However, all existing proof systems that can produce short proofs for all inprocessing…

Logic in Computer Science · Computer Science 2025-08-14 Adrian Rebola-Pardo

Ising machines are emerging as a new technology for solving various classes of computationally hard problems of practical importance, yet their limits on structured SAT workloads, representative of numerous real-world applications, remain…

We present a new structural (or syntatic) approach for estimating the satisfiability threshold of random 3-SAT formulae. We show its efficiency in obtaining a jump from the previous upper bounds, lowering them to 4.506. The method combines…

Discrete Mathematics · Computer Science 2007-05-23 Olivier Dubois , Yacine Boufkhad , Jacques Mandler

We investigate connections between SAT (the propositional satisfiability problem) and combinatorics, around the minimum degree (number of occurrences) of variables in various forms of redundancy-free boolean conjunctive normal forms…

Combinatorics · Mathematics 2017-01-24 Oliver Kullmann , Xishun Zhao

Circuit Satisfiability (CSAT) plays a pivotal role in Electronic Design Automation. The standard workflow for solving CSAT problems converts circuits into Conjunctive Normal Form (CNF) and employs generic SAT solvers powered by…

Artificial Intelligence · Computer Science 2025-08-07 Jiaying Zhu , Ziyang Zheng , Zhengyuan Shi , Yalun Cai , Qiang Xu