no code implementations • 24 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.
1 code implementation • 19 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.
1 code implementation • 8 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.
no code implementations • 9 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.
no code implementations • 14 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.
no code implementations • 19 Nov 2017 • Curtis Bright
A form of Williamson's product theorem which applies to Williamson matrices of even order is presented.
Combinatorics