Implication Algebras and Implication Semigroups of Binary Relations

Autor:	Šemrl, Andrew Lewis-Smith Jaš
Rok vydání:	2023
Předmět:	Mathematics - Logic
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
Externí odkaz:	http://arxiv.org/abs/2301.02266 Zobrazit plný text záznamu View this record from Arxiv