A review of literature on parallel constraint solving

IP Gent, I Miguel, P Nightingale… - Theory and Practice of …, 2018 - cambridge.org
As multi-core computing is now standard, it seems irresponsible for constraints researchers
to ignore the implications of it. Researchers need to address a number of issues to exploit …

Complexity of n-queens completion

IP Gent, C Jefferson, P Nightingale - Journal of Artificial Intelligence …, 2017 - jair.org
The n-Queens problem is to place n chess queens on an n by n chessboard so that no two
queens are on the same row, column or diagonal. The n-Queens Completion problem is a …

[HTML][HTML] Conjure: Automatic generation of constraint models from problem specifications

Ö Akgün, AM Frisch, IP Gent, C Jefferson, I Miguel… - Artificial Intelligence, 2022 - Elsevier
When solving a combinatorial problem, the formulation or model of the problem is critical to
the efficiency of the solver. Automating the modelling process has long been of interest …

Progress towards the holy grail

EC Freuder - Constraints, 2018 - Springer
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SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Constraints …

Enumeration of set-theoretic solutions to the Yang–Baxter equation

Ö Akgün, M Mereb, L Vendramin - Mathematics of Computation, 2022 - ams.org
We use Constraint Satisfaction methods to enumerate and construct set-theoretic solutions
to the Yang–Baxter equation of small size. We show that there are 321,931 involutive …

Efficiently explaining CSPs with unsatisfiable subset optimization

E Gamba, B Bogaerts, T Guns - Journal of Artificial Intelligence Research, 2023 - jair.org
We build on a recently proposed method for stepwise explaining the solutions to Constraint
Satisfaction Problems (CSPs) in a human understandable way. An explanation here is a …

Constraint programming and operations research

JN Hooker, WJ van Hoeve - Constraints, 2018 - Springer
We present an overview of the integration of constraint programming (CP) and operations
research (OR) to solve combinatorial optimization problems. We interpret CP and OR as …

[PDF][PDF] Selecting SAT encodings for pseudo-boolean and linear integer constraints

F Ulrich-Oltean, P Nightingale… - … Conference on Principles …, 2022 - pure.york.ac.uk
Many constraint satisfaction and optimisation problems can be solved effectively by
encoding them as instances of the Boolean Satisfiability problem (SAT). However, even the …

Automatic detection of at-most-one and exactly-one relations for improved SAT encodings of pseudo-boolean constraints

C Ansótegui, M Bofill, J Coll, N Dang… - Principles and Practice …, 2019 - Springer
Pseudo-Boolean (PB) constraints often have a critical role in constraint satisfaction and
optimisation problems. Encoding PB constraints to SAT has proven to be an efficient …

SAT encodings for Pseudo-Boolean constraints together with at-most-one constraints

M Bofill, J Coll, P Nightingale, J Suy, F Ulrich-Oltean… - Artificial Intelligence, 2022 - Elsevier
When solving a combinatorial problem using propositional satisfiability (SAT), the encoding
of the problem is of vital importance. We study encodings of Pseudo-Boolean (PB) …