Implication Algebras and Implication Semigroups of Binary Relations
Autor: | Šemrl, Andrew Lewis-Smith Jaš |
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Rok vydání: | 2023 |
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Druh dokumentu: | Working Paper |
Popis: | Representable implication algebras are known to be axiomatised by a finite number of equations (making the representation and finite representation problems decidable here). We show that this also holds in the context of unary (and binary) relations and present a Stone-style representation theorem. We then show that the (finite) representation decision problem is undecidable for implication semigroups, in stark contrast with implication algebras. |
Databáze: | arXiv |
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