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Author

Mikoláš Janota

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Preprint Oct 2026

Proving at Scale for Universal Algebra

We introduce SemiBase, a project that computes and formally certifies finite identity bases for small semigroups. Deciding finite basability is undecidable for finite algebras and remains open for finite semigroups. The task requires a proof that a candidate basis is complete, or a proof that none exists, rather than a...

João Araújo, Jan Hůla, Mikoláš Janota et al. · 0 citations
Preprint Sep 2026

Compact Partial Symmetry Breaking for Graph Search Problems

Symmetry breaking in graph search problems remains challenging: complete symmetry breaking constraints are typically exponential in size, while partial approaches trade precision for scalability. We introduce a strength-driven, redundancy-aware methodology for constructing compact partial symmetry breaking constraints...

Michael Codish, Mikoláš Janota, Peter James Stuckey · 0 citations

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