Three theorems on elementary theories and -reducibility
β Scribed by S. D. Denisov
- Publisher
- Springer US
- Year
- 1974
- Tongue
- English
- Weight
- 201 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0002-5232
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A theory T is called almost No-categorical if for any pure typespl(zl), . . . ,pn(zn) there are only finitely many pure types which extend p 1 ( ~1 ) U . . . U p ~( z , ) . It is shown that if T is an almost No-categorical theory with I(No,T) = 3, then a dense linear ordering is interpretable in T .
Algorithms can be used to prove and to discover new theorems. This paper shows how algorithmic skills in general, and the notion of invariance in particular, can be used to derive many results from Euclid's algorithm. We illustrate how to use the algorithm as a verification interface (i.e., how to v