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The SAT attack has shown to be efficient against most combinational logic encryption methods. It can be extended to attack sequential logic encryption techniques by leveraging circuit unrolling and model checking methods. However, with no…

Cryptography and Security · Computer Science 2022-02-18 Yinghua Hu , Yuke Zhang , Kaixin Yang , Dake Chen , Peter A. Beerel , Pierluigi Nuzzo

The workflow satisfiability problem (WSP) asks whether there exists an assignment of authorized users to the steps in a workflow specification that satisfies the constraints in the specification. The problem is NP-hard in general, but…

Data Structures and Algorithms · Computer Science 2015-05-18 D. Cohen , J. Crampton , A. Gagarin , G. Gutin , M. Jones

The solution-space structure of the 3-Satisfiability Problem (3-SAT) is studied as a function of the control parameter alpha (ratio of number of clauses to the number of variables) using numerical simulations. For this purpose, one has to…

Disordered Systems and Neural Networks · Physics 2015-05-18 Alexander Mann , A. K. Hartmann

Ising machines (IMs) are specialized devices designed to efficiently solve combinatorial optimization problems. Among such problems, Boolean Satisfiability (SAT) is particularly relevant in industrial applications. To solve SAT problems…

Statistical Mechanics · Physics 2025-08-01 Robbe De Prins , Guy Van der Sande , Peter Bienstman , Thomas Van Vaerenbergh

A major problem in evaluating stochastic local search algorithms for NP-complete problems is the need for a systematic generation of hard test instances having previously known properties of the optimal solutions. On the basis of…

Disordered Systems and Neural Networks · Physics 2009-11-07 W. Barthel , A. K. Hartmann , M. Leone , F. Ricci-Tersenghi , M. Weigt , R. Zecchina

The Simple Assembly Line Balancing Problem with Power Peak Minimization (SALBP-3PM) minimizes maximum instantaneous power usage while assigning $n$ tasks to $m$ workstations and determining execution schedules within given cycle time…

Logic in Computer Science · Computer Science 2025-12-15 Tuyen Van Kieu , Phong Chi Nguyen , Bao Gia Hoang , Khanh Van To

Learning-augmented algorithms are a prominent recent development in beyond worst-case analysis. In this framework, a problem instance is provided with a prediction (``advice'') from a machine-learning oracle, which provides partial…

Data Structures and Algorithms · Computer Science 2025-06-03 Idan Attias , Xing Gao , Lev Reyzin

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

Much effort is spent everyday by programmers in trying to reduce long, failing execution traces to the cause of the error. We present a new algorithm for error cause localization based on a reduction to the maximal satisfiability problem…

Programming Languages · Computer Science 2011-03-10 Manu Jose , Rupak Majumdar

AmbSAT (or AmoebaSAT) is a biologically-inspired stochastic local search (SLS) solver to explore solutions to the Boolean satisfiability problem (SAT). AmbSAT updates multiple variables in parallel at every iteration step, and thus AmbSAT…

Neural and Evolutionary Computing · Computer Science 2019-11-07 N. Takeuchi , M. Aono , Y. Hara-Azumi , C. L. Ayala

The dramatic improvements in combinatorial optimization algorithms over the last decades have had a major impact in artificial intelligence, operations research, and beyond, but the output of current state-of-the-art solvers is often hard…

Logic in Computer Science · Computer Science 2022-09-27 Stephan Gocht , Jakob Nordström

Building on the progress in Boolean satisfiability (SAT) solving over the last decades, maximum satisfiability (MaxSAT) has become a viable approach for solving NP-hard optimization problems, but ensuring correctness of MaxSAT solvers has…

Artificial Intelligence · Computer Science 2024-04-29 Hannes Ihalainen , Andy Oertel , Yong Kiam Tan , Jeremias Berg , Matti Järvisalo , Jakob Nordström

A new quantum algorithm is proposed to solve Satisfiability(SAT) problems by taking advantage of non-unitary transformation in ground state quantum computer. The energy gap scale of the ground state quantum computer is analyzed for 3-bit…

Quantum Physics · Physics 2015-06-26 Wenjin Mao

The question of whether the complexity class P is equal to the complexity class NP has been a seemingly intractable problem for over 4 decades. It has been clear that if an algorithm existed that would solve the problems in the NP class in…

Computational Complexity · Computer Science 2015-06-04 Jason W. Steinmetz

Restart policy is an important technique used in modern Conflict-Driven Clause Learning (CDCL) solvers, wherein some parts of the solver state are erased at certain intervals during the run of the solver. In most solvers, variable…

Logic in Computer Science · Computer Science 2024-04-23 Chunxiao Li , Charlie Liu , Jonathan Chung , Zhengyang Lu , Piyush Jha , Vijay Ganesh

In spite of the recent improvements in the performance of the solvers based on the DPLL procedure, it is still possible for the search algorithm to focus on the wrong areas of the search space, preventing the solver from returning a…

Artificial Intelligence · Computer Science 2015-03-18 Marcello Balduccini

Recently, there has been an increasing interest in employing dynamical systems as solvers of NP-complete problems. In this paper, we present accurate implementations of two continuous-time dynamical solvers, known in the literature as…

Emerging Technologies · Computer Science 2026-02-03 Yuriy V. Pershin , Dyk Chung Nguyen

The analysis of infeasible subproblems plays an import role in solving mixed integer programs (MIPs) and is implemented in most major MIP solvers. There are two fundamentally different concepts to generate valid global constraints from…

Optimization and Control · Mathematics 2016-11-24 Jakob Witzig , Timo Berthold , Stefan Heinz

We propose to use a DPLL+restart to solve SAT instances by successive simplifications based on the production of clauses that subsume the initial clauses. We show that this approach allows the refutation of pebbling formulae in polynomial…

Artificial Intelligence · Computer Science 2019-06-19 Olivier Bailleux

Many constraint satisfaction and optimisation problems can be solved effectively by encoding them as instances of the Boolean Satisfiability problem (SAT). However, even the simplest types of constraints have many encodings in the…

Artificial Intelligence · Computer Science 2023-11-09 Felix Ulrich-Oltean , Peter Nightingale , James Alfred Walker