𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalizing realizability and Heyting models for constructive set theory

✍ Scribed by Albert Ziegler


Book ID
113459224
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
236 KB
Volume
163
Category
Article
ISSN
0168-0072

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Realization of constructive set theory i
✍ Sergei Tupailo πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 302 KB

We deΓΏne a realizability interpretation of Aczel's Constructive Set Theory CZF into Explicit Mathematics. The ΓΏnal results are that CZF extended by Mahlo principles is realizable in corresponding extensions of T0, thus providing relative lower bounds for the proof-theoretic strength of the latter.

Estimation theory for nonlinear models a
✍ M. Milanese; A. Vicino πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 612 KB

In this paper we study the problem of estimating a given function of a vector of unknowns, called the problem element, by using measurements depending nonlinearly on the problem element and affected by unknown but bounded noise. Assuming that both the solution sought and the measurements depend poly

A Hierarchy of Models for Skala's Set Th
✍ Martin KΓΌhnrich; Konrad Schultz πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 288 KB πŸ‘ 1 views

has proposed a new axiomatic set theory, see [5], [4], and [3]. The nonlogical axioms of this theory are as follows: A2. Existence of a greatest lower set (gls A(%)):

A CLASS OF MODELS FOR SKALA'S SET THEORY
✍ Antonio Greco πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 215 KB πŸ‘ 1 views

## Abstract For each ordinal Ξ± it is given a model for Skala's set theory using the well‐known cumulative type hierarchy.