✦ LIBER ✦

Metamathematical Investigation of Intuitionistic Arithmetic and Analysis

✍ Scribed by Anne S. Troelstra

Book ID: 127454785
Publisher: Springer
Year: 1973
Tongue: English
Weight: 3 MB
Series: Lecture Notes in Mathematics
Edition: 1
Category: Library
ISBN: 3540064915

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📜 SIMILAR VOLUMES

Substitutions of Σ10-sentences: explorat

Substitutions of Σ10-sentences: explorations between intuitionistic propositional logic and intuitionistic arithmetic

✍ Albert Visser 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 347 KB

This paper is concerned with notions of consequence. On the one hand, we study admissible consequence, speciÿcally for substitutions of 0 1 -sentences over Heyting arithmetic (HA). On the other hand, we study preservativity relations. The notion of preservativity of sentences over a given theory is

Notions of Realizability for Intuitionis

Notions of Realizability for Intuitionistic Arithmetic and Intuitionistic Arithmetic in all Finite Types.by A. S. Troelstra; J. E. Fenstad

✍ Review by: C. Smorynski 📂 Article 📅 1975 🏛 Association for Symbolic Logic 🌐 English ⚖ 85 KB

Independence results for weak systems of

Independence results for weak systems of intuitionistic arithmetic

✍ Morteza Moniri 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 112 KB

## Abstract This paper proves some independence results for weak fragments of Heyting arithmetic by using Kripke models. We present a necessary condition for linear Kripke models of arithmetical theories which are closed under the negative translation and use it to show that the union of the worlds

A generalization of a conservativity the

A generalization of a conservativity theorem for classical versus intuitionistic arithmetic

✍ Stefano Berardi 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 124 KB

## Abstract A basic result in intuitionism is Π^0^~2~‐conservativity. Take any proof __p__ in classical arithmetic of some Π^0^~2~‐statement (some arithmetical statement ∀__x__.∃__y__.__P__(__x, y__), with __P__ decidable). Then we may effectively turn __p__ in some intuitionistic proof of the same

Intuitionistic theory of algebraic syste

Intuitionistic theory of algebraic systems and heyting-valid analysis

✍ V. A. Lyubetskii 📂 Article 📅 1991 🏛 Springer US 🌐 English ⚖ 749 KB

A Topological Model for Troelstra's Syst

A Topological Model for Troelstra's System CS of Intuitionistic Analysis

✍ Konrad Schultz 📂 Article 📅 1980 🏛 John Wiley and Sons 🌐 English ⚖ 395 KB

The classical topological model for intuitionistic predicate logic was extended by SCOTT [Ti] and J. R. MOSCHOVAKIS [3] to intuitionistic analysis. This intuitionistic analysis includes a strong version of Kripke's schema and is thus different from TROELSTRA's system C s [6]. I n this paper we will