Search Results for author: Curtis Bright

Found 6 papers, 2 papers with code

AlphaMapleSAT: An MCTS-based Cube-and-Conquer SAT Solver for Hard Combinatorial Problems

no code implementations24 Jan 2024 Piyush Jha, Zhengyu Li, Zhengyang Lu, Curtis Bright, Vijay Ganesh

We perform an extensive comparison of AlphaMapleSAT against the March CnC solver on challenging combinatorial problems such as the minimum Kochen-Specker and Ramsey problems.

Integer and Constraint Programming Revisited for Mutually Orthogonal Latin Squares

1 code implementation19 Mar 2021 Noah Rubin, Curtis Bright, Kevin K. H. Cheung, Brett Stevens

Both programming paradigms have previously successfully been used to search for MOLS, but solvers for IP and CP solvers have significantly improved in recent years and data on how modern IP and CP solvers perform on the MOLS problem is lacking.

A SAT-based Resolution of Lam's Problem

1 code implementation8 Dec 2020 Curtis Bright, Kevin K. H. Cheung, Brett Stevens, Ilias Kotsireas, Vijay Ganesh

In 1989, computer searches by Lam, Thiel, and Swiercz experimentally resolved Lam's problem from projective geometry$\unicode{x2014}$the long-standing problem of determining if a projective plane of order ten exists.

SAT Solvers and Computer Algebra Systems: A Powerful Combination for Mathematics

no code implementations9 Jul 2019 Curtis Bright, Ilias Kotsireas, Vijay Ganesh

By combining the search power of SAT with the deep mathematical knowledge in CASs we can solve many problems in mathematics that no other known methods seem capable of solving.

Mathematical Proofs Mathematical Reasoning

Effective problem solving using SAT solvers

no code implementations14 Jun 2019 Curtis Bright, Jürgen Gerhard, Ilias Kotsireas, Vijay Ganesh

In this article we demonstrate how to solve a variety of problems and puzzles using the built-in SAT solver of the computer algebra system Maple.

A New Form of Williamson's Product Theorem

no code implementations19 Nov 2017 Curtis Bright

A form of Williamson's product theorem which applies to Williamson matrices of even order is presented.

Combinatorics

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