Rudimentary and arithmetical constructive set theory

Annals of Pure and Applied Logic 164 (4):396-415 (2013)
The aim of this paper is to formulate and study two weak axiom systems for the conceptual framework of constructive set theory . Arithmetical CST is just strong enough to represent the class of von Neumann natural numbers and its arithmetic so as to interpret Heyting Arithmetic. Rudimentary CST is a very weak subsystem that is just strong enough to represent a constructive version of Jensenʼs rudimentary set theoretic functions and their theory. The paper is a contribution to the study of formal systems for CST that capture significant stages in the development of constructive mathematics in CST
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1016/j.apal.2012.10.004
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 35,865
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

The Fine Structure of the Constructible Hierarchy.R. Björn Jensen - 1972 - Annals of Mathematical Logic 4 (3):229-308.
Constructive Set Theory.John Myhill - 1975 - Journal of Symbolic Logic 40 (3):347-382.
On Interpretations of Arithmetic and Set Theory.Richard Kaye & Tin Lok Wong - 2007 - Notre Dame Journal of Formal Logic 48 (4):497-510.

View all 9 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Rules and Arithmetics.Albert Visser - 1999 - Notre Dame Journal of Formal Logic 40 (1):116-140.
Arithmetical Interpretations of Dynamic Logic.Petr Hájek - 1983 - Journal of Symbolic Logic 48 (3):704-713.
Modal Analysis of Generalized Rosser Sentences.Vítězslav Švejdar - 1983 - Journal of Symbolic Logic 48 (4):986-999.
Burgess' PV Is Robinson's Q.Mihai Ganea - 2007 - Journal of Symbolic Logic 72 (2):619 - 624.
Arithmetical Definability Over Finite Structures.Troy Lee - 2003 - Mathematical Logic Quarterly 49 (4):385.
Aspects of General Topology in Constructive Set Theory.Peter Aczel - 2006 - Annals of Pure and Applied Logic 137 (1):3-29.
On the Constructive Dedekind Reals.Robert S. Lubarsky & Michael Rathjen - 2008 - Logic and Analysis 1 (2):131-152.


Added to PP index

Total downloads
23 ( #273,658 of 2,293,801 )

Recent downloads (6 months)
2 ( #252,839 of 2,293,801 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature