Title
Infinitary Propositional Relevant Languages with Absurdity.
Abstract
Analogues of Scott's isomorphism theorem, Karp's theorem as well as results on lack of compactness and strong completeness are established for infinitary propositional relevant logics. An "interpolation theorem" (of a particular sort introduced by Barwise and van Benthem) for the infinitary quantificational boolean logic L-infinity omega. holds. This yields a preservation result characterizing the expressive power of infinitary relevant languages with absurdity using the model-theoretic relation of relevant directed bisimulation as well as a Beth definability property.
Year
DOI
Venue
2017
10.1017/S1755020317000132
REVIEW OF SYMBOLIC LOGIC
Keywords
Field
DocType
relevant logic,model theory,infinitary logic,interpolation,Routley-Meyer semantics
Absurdity,Discrete mathematics,Algorithm,Compact space,Bisimulation,Boolean algebra,Isomorphism theorem,Completeness (statistics),Mathematics,Propositional variable,Beth definability
Journal
Volume
Issue
ISSN
10
4
1755-0203
Citations 
PageRank 
References 
0
0.34
7
Authors
1
Name
Order
Citations
PageRank
guillermo badia155.53