Categoricity of finitely generated algebraic systems in HF-logic
β Scribed by V. Ya. Belyaev; E. E. Lyutikova; V. N. Remeslennikov
- Publisher
- Springer US
- Year
- 1995
- Tongue
- English
- Weight
- 794 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0002-5232
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## Abstract In this note, it is shown that, given a __Ο__ βinstitution β = γ**Sign**, SEN, __C__ γ, with __N__ a category of natural transformations on SEN, every theory family __T__ of β includes a unique largest theory system $ \overleftarrow T $ of β. $ \overleftarrow T $ satisfies the important
We characterise the closure in C (R, R) of the algebra generated by an arbitrary finite point-separating set of C functions. The description is local, involving Taylor series. More precisely, a function f # C belongs to the closure of the algebra generated by 1 , ..., r as soon as it has the ``right