Fairbank, Michael and Lisitsa, Alexei and Vernitski, Alexei (2026) Probabilistic automaton classifier applied to examples related to the Andrews-Curtis conjecture. Journal of Automated Reasoning, 70 (2). DOI https://doi.org/10.1007/s10817-026-09759-8
Fairbank, Michael and Lisitsa, Alexei and Vernitski, Alexei (2026) Probabilistic automaton classifier applied to examples related to the Andrews-Curtis conjecture. Journal of Automated Reasoning, 70 (2). DOI https://doi.org/10.1007/s10817-026-09759-8
Fairbank, Michael and Lisitsa, Alexei and Vernitski, Alexei (2026) Probabilistic automaton classifier applied to examples related to the Andrews-Curtis conjecture. Journal of Automated Reasoning, 70 (2). DOI https://doi.org/10.1007/s10817-026-09759-8
Abstract
The unsolved Andrews-Curtis conjecture in group theory gives rise to many famously challenging theorem-proving problems. Automated reasoning is one of the best state-of-the-art approaches to solving them. We have developed a new classifier inspired by group theory and a new search algorithm orientated at using for the Andrews-Curtis conjecture. We combine them with automated reasoning and compare their performance with automated reasoning.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Automated theorem proving; supervised learning; group theory; Andrews–Curtis conjecture; finite automaton |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Computer Science and Electronic Engineering, School of Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 14 Jul 2026 13:58 |
| Last Modified: | 14 Jul 2026 13:59 |
| URI: | http://repository.essex.ac.uk/id/eprint/43445 |
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