On the Algebraic Structure of Primitive Recursive Functions
✍ Scribed by István Szalkai
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 349 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0044-3050
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## Abstract This paper is a companion to work of Feferman, Jäger, Glaß, and Strahm on the proof theory of the type two functionals __μ__ and E~1~ in the context of Feferman‐style applicative theories. In contrast to the previous work, we analyze these two functionals in the context of Schlüter's we
We consider an indefinite inner product on the algebra of rational functions over the complex numbers, and we obtain a coproduct, which is dual of the usual multiplication, that gives a structure of infinitesimal coalgebra on the rational functions. We also obtain a representation of the finite dual