Finitely axiomatizable quasivarieties of graphs
β Scribed by X. Caicedo
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 432 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0002-5240
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π SIMILAR VOLUMES
In classes of algebras such as lattices, groups, and rings, there arefinite algebras which individually generate quasivarieties which are not finitely axiomatiza.ble (see [2], [3], [8]). We show here that this kind of algebras also exist in Heyting algebras as well as in topological Boolean algebras
We use the apparatus of the canonical formulas introduced by Zakharyaschev [lo] to prove that all finitely axiomatizable normal modal logics containing K4.3 are decidable, though possibly not characterized by classes of finite frames. Our method is purely frame-theoretic. Roughly, given a normal log
## Abstract A quasivariety is said to be __implicative__ if it is generated by a class of algebras with equationallyβdefinable implication of equalities. Implicative finitelyβgenerated quasivarieties appear naturally within logic, for instance, as equivalent quasivarieties of Gentzenβstyle calculi