The Axiomatic Approach to Non-Classical Model Theory

Răzvan Diaconescu ()
Additional contact information
Răzvan Diaconescu: Simion Stoilow Institute of Mathematics of the Romanian Academy, 010702 Bucharest, Romania

Mathematics, 2022, vol. 10, issue 19, 1-33

Abstract: Institution theory represents the fully axiomatic approach to model theory in which all components of logical systems are treated fully abstractly by reliance on category theory. Here, we survey some developments over the last decade or so concerning the institution theoretic approach to non-classical aspects of model theory. Our focus will be on many-valued truth and on models with states, which are addressed by the two extensions of ordinary institution theory known as L -institutions and stratified institutions , respectively. The discussion will include relevant concepts, techniques, and results from these two areas.

Keywords: model theory; institution theory; category theory; stratified institutions; categorical model theory; many-valued truth institutions; ?-institutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/19/3428/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/19/3428/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:19:p:3428-:d:920759

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().