Groundwork for weak analysis

• Tipo: Artigo em Revista Científica Internacional
• Data: 2002

Autores

Fernandes, AA (Autor) FEUP; Ferreira, F (Autor) Outra

Revista

Título: Journal of Symbolic Logic

Vol. 67

Páginas: 557-578

ISSN: 0022-4812

Editora: Cambridge University Press

Indexação

ISI Web of Knowledge - 13 Citações

Scopus - 13 Citações

Outras Informações

ID Authenticus: P-000-P7N

DOI: 10.2178/jsl/1190150098

Abstract (EN): This paper develops the very basic notions of analysis in a beak second-order theory of arithmetic BTFA whose provably total function, are the polynomial time computable functions. We formalize within BTFA the real number system and the notion of a continuous real function of a real variable. The theory BTFA is able to prove the intermediate value theorem, wherefore it follows that the system of real numbers is a real closed ordered field. In the last section of the paper, we show how to interpret the theory BTFA in Robinson's theory of arithmetic Q. This fact entails that the elementary theory of the real closed ordered field, is interpretable in Q.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 22