On Complete Representations of Reducts of Polyadic Algebras
β Scribed by Tarek Sayed Ahmed
- Publisher
- Springer Netherlands
- Year
- 2008
- Tongue
- English
- Weight
- 192 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0039-3215
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π SIMILAR VOLUMES
SC, CA, QA and QEA denote the classes of Pinter's substitution algebras, Tarski's cylindric algebras, Halmos' quasi-polyadic algebras and quasi-polyadic equality algebras, respectively. Let Ο β€ Ξ± < Ξ² and let K β {SC, CA, QA, QEA}. We show that the class of Ξ±-dimensional neat reducts of algebras in K
## MSC (2010) Primary: 03G15 Using games, as introduced by Hirsch and Hodkinson in algebraic logic, we give a recursive axiomatization of the class RQPEA Ξ± of representable quasi-polyadic equality algebras of any dimension Ξ±. Following Sain and Thompson in modifying AndrΓ©ka's methods of splitting,