Explicit algebraic models for constructive and classical theories with non-standard elements

Studia Logica 55 (1):33 - 61 (1995)
Abstract
We describe an explicit construction of algebraic models for theories with non-standard elements either with classical or constructive logic. The corresponding truthvalue algebra in our construction is a complete algebra of subsets of some concrete decidable set. This way we get a quite finitistic notion of true which reflects a notion of the deducibility of a given theory. It enables us to useconstructive, proof-theoretical methods for theories with non-standard elements. It is especially useful in the case of theories with constructive logic where algorithmic properties are essential.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF01053031
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 29,820
Through your library
References found in this work BETA
The Mathematics of Metamathematics.Helena Rasiowa - 1963 - Warszawa, Państwowe Wydawn. Naukowe.

Add more references

Citations of this work BETA
Saturated Models of Universal Theories.Jeremy Avigad - 2002 - Annals of Pure and Applied Logic 118 (3):219-234.

Add more citations

Similar books and articles
Added to PP index
2009-01-28

Total downloads
15 ( #345,014 of 2,210,176 )

Recent downloads (6 months)
1 ( #385,054 of 2,210,176 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature