On functions definable in implicational algebras
β Scribed by Pawel Bielak
- Publisher
- Springer Netherlands
- Year
- 1975
- Tongue
- English
- Weight
- 179 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0039-3215
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove the following theorem: Let cp(z) be a formula in the language of the theory PAof discretely ordered commutative rings with unit of the form 3 y p ' ( z , y ) with 'p' E Ao and let f, : N -+ R be such that f,(z) = y iff cp'(z, y) & (Vz < y) ~( p ' ( z , 2 ) . If ITIF I -(Vz 2 0) cp(z), then
## Abstract We consider the sets definable in the countable models of a weakly oβminimal theory __T__ of totally ordered structures. We investigate under which conditions their Boolean algebras are isomorphic (hence __T__ is pβ__Ο__βcategorical), in other words when each of these definable sets adm