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Constraint Satisfaction Problems (CSPs) lie at the heart of complexity theory and find application in a plethora of prominent tasks ranging from cryptography to genetics. Classical approaches use Hopfield networks to find approximate…

Disordered Systems and Neural Networks · Physics 2025-12-24 Niklas Foos , Bastian Epping , Jannik Grundler , Alexandru Ciobanu , Ajainderpal Singh , Tim Bode , Moritz Helias , David Dahmen

Emerging analog computing substrates, such as oscillator-based Ising machines, offer rapid convergence times for combinatorial optimization but often suffer from limited scalability due to physical implementation constraints. To tackle…

Emerging Technologies · Computer Science 2026-02-19 Ruihong Yin , Yue Zheng , Chaohui Li , Ahmet Efe , Abhimanyu Kumar , Ziqing Zeng , Ulya R. Karpuzcu , Sachin S. Sapatnekar , Chris H. Kim

The search for new computational machines beyond the traditional von Neumann architecture has given rise to a modern area of nonlinear science -- development of unconventional computing -- requiring the efforts of mathematicians, physicists…

Emerging Technologies · Computer Science 2019-12-30 Kirill P. Kalinin , Natalia G. Berloff

Distributed Constraint Satisfaction (DCSP) has long been considered an important problem in multi-agent systems research. This is because many real-world problems can be represented as constraint satisfaction and these problems often…

Artificial Intelligence · Computer Science 2011-09-29 V. R. Lesser , R. Mailler

This primary purpose of this paper is to succinctly state a number of verifiable and tractable sufficient conditions under which a particular class of conservative signal processing structures may be readily used to solve a companion class…

Numerical Analysis · Computer Science 2015-10-20 Tarek A. Lahlou , Thomas A. Baran

For a constraint satisfaction problem (CSP), a robust satisfaction algorithm is one that outputs an assignment satisfying most of the constraints on instances that are near-satisfiable. It is known that the CSPs that admit efficient robust…

Data Structures and Algorithms · Computer Science 2025-09-09 Joshua Brakensiek , Venkatesan Guruswami , Sai Sandeep

We study the use of local consistency methods as reductions between constraint satisfaction problems (CSPs), and promise version thereof, with the aim to classify these reductions in a similar way as the algebraic approach classifies gadget…

Logic in Computer Science · Computer Science 2024-05-20 Victor Dalmau , Jakub Opršal

Interest in non-algorithmic, unconventional computing is rising in recent years due to more and more apparent short comings of classic stored-program digital computers, such as energy efficiency, degree of parallelism in computations, clock…

Emerging Technologies · Computer Science 2025-02-07 Shrish Roy , Bernd Ulmann

Cyber-physical systems (CPS) are required to satisfy safety constraints in various application domains such as robotics, industrial manufacturing systems, and power systems. Faults and cyber attacks have been shown to cause safety…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Abdullah Al Maruf , Luyao Niu , Andrew Clark , J. Sukarno Mertoguno , Radha Poovendran

As it is getting increasingly difficult to achieve gains in the density and power efficiency of microelectronic computing devices because of lithographic techniques reaching fundamental physical limits, new approaches are required to…

Emerging Technologies · Computer Science 2017-07-05 Jean C. Coulombe , Mark C. A. York , Julien Sylvestre

It is an intriguing concept to use oscillators as fundamental building blocks of electronic computers. The idea is not new, but is currently subject to intense research as a part of the quest for 'beyond Moore' electronic devices. In this…

Emerging Technologies · Computer Science 2018-05-24 Gyorgy Csaba , Wolfgang Porod

An active topic in the study of random constraint satisfaction problems (CSPs) is the geometry of the space of satisfying or almost satisfying assignments as the function of the density, for which a precise landscape of predictions has been…

Data Structures and Algorithms · Computer Science 2021-06-25 Jun-Ting Hsieh , Sidhanth Mohanty , Jeff Xu

Constraint Satisfaction Problem (CSP) is a fundamental algorithmic problem that appears in many areas of Computer Science. It can be equivalently stated as computing a homomorphism $\mbox{$\bR \rightarrow \bGamma$}$ between two relational…

Computational Complexity · Computer Science 2015-10-27 Vladimir Kolmogorov , Michal Rolinek , Rustem Takhanov

Constraint satisfaction problems (CSPs) are about finding values of variables that satisfy the given constraints. We show that Transformer extended with recurrence is a viable approach to learning to solve CSPs in an end-to-end manner,…

Artificial Intelligence · Computer Science 2023-07-12 Zhun Yang , Adam Ishay , Joohyung Lee

Constraint satisfaction (CSP) and structure isomorphism (SI) are among the most well-studied computational problems in Computer Science. While neither problem is thought to be in $\texttt{PTIME},$ much work is done on $\texttt{PTIME}$…

Logic in Computer Science · Computer Science 2022-07-01 Adam Ó Conghaile

The model of Dynamic Meta-Constraints has special activity constraints which can activate other constraints. It also has meta-constraints which range over other constraints. An algorithm is presented in which constraints can be assigned one…

Programming Languages · Computer Science 2007-05-23 Janet van der Linden

The Constraint Satisfaction Problem (CSP) and its counting counterpart appears under different guises in many areas of mathematics, computer science, and elsewhere. Its structural and algorithmic properties have demonstrated to play a…

Combinatorics · Mathematics 2020-07-15 Raimundo Briceño , Andrei Bulatov , Victor Dalmau , Benoit Larose

Many real-life problems of practical importance -- spanning a wide range of applications from chip design to bioinformatics -- represent constraint satisfaction problems, where classical solvers have to rely on heuristic approximations due…

Emerging Technologies · Computer Science 2026-03-03 Recep Bugra Uludag , Ahmet Efe , Ismail Akturk , Ulya R Karpuzcu

We study the design of stochastic local search methods to prove unsatisfiability of a constraint satisfaction problem (CSP). For a binary CSP, such methods have been designed using the microstructure of the CSP. Here, we develop a method to…

Artificial Intelligence · Computer Science 2020-02-11 Daya Gaur , Muhammad Khan

As the Moore's scaling era comes to an end, application specific hardware accelerators appear as an attractive way to improve the performance and power efficiency of our computing systems. A massively heterogeneous system with a large…

Operating Systems · Computer Science 2019-07-02 Kartik Hegde , Abhishek Srivastava , Rohit Agrawal