An introduction to the W-calculabilityBasic operations.

  1. Clares Rodríguez, Buenaventura
Revista:
Stochastica: revista de matemática pura y aplicada

ISSN: 0210-7821

Año de publicación: 1983

Volumen: 7

Número: 2

Páginas: 111-135

Tipo: Artículo

Otras publicaciones en: Stochastica: revista de matemática pura y aplicada

Resumen

Our purpose is to introduce the W-composition, W-minimalization and W-primitive recursion operations as operations between W-valued functions, where W denotes the ordered semiring ([0,1],+,=). We prove that: 1) the set of W-calculable functions is closed under the W-composition and W-primitice recursion operations, and 2) the set of the partially W-calculable functions is closed under the W-minimalization operation.