The Projective Beth Property and Interpolation in Positive and Related Logics
โ Scribed by L. L. Maksimova
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 252 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0002-5232
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๐ SIMILAR VOLUMES
## Abstract We study the quantum logics which satisfy the Riesz Interpolation Property. We call them the RIP logics. We observe that the class of RIP logics is considerable largeโit contains all lattice quantum logics and, also, many (infinite) nonโlattice ones. We then find out that each RIP logic
We extend Makkai's proof of strong amalgamation (push-outs of monos along arbitrary maps are monos) from the category of Heyting algebras to a class which includes the categories of symmetric bounded distributive lattices, symmetric Heyting algebras, Heyting modal S4-algebras, Heyting modal bi-S4-al