Title
The Institution-Theoretic Scope of Logic Theorems.
Abstract
In this essay we analyse and elucidate the method to establish and clarify the scope of logic theorems offered within the theory of institutions. The method presented pervades a lot of abstract model theoretic developments carried out within institution theory. The power of the proposed general method is illustrated with the examples of (Craig) interpolation and (Beth) definability, as they appear in the literature of institutional model theory. Both case studies illustrate a considerable extension of the original scopes of the two classical theorems. Our presentation is rather narrative with the relevant logic and institution theory concepts introduced and explained gradually to the non-expert reader.
Year
DOI
Venue
2014
10.1007/s11787-013-0093-x
Logica Universalis
Keywords
Field
DocType
abstract model theory,interpolation
Discrete mathematics,Institutional model theory,Abstract model theory,Computer science,Interpolation,Algorithm,Narrative,Relevance logic
Journal
Volume
Issue
ISSN
8
3-4
1661-8300
Citations 
PageRank 
References 
0
0.34
15
Authors
3
Name
Order
Citations
PageRank
Razvan Diaconescu157140.93
Till Mossakowski2105290.11
Andrzej Tarlecki31514124.61