Title
Maximality of bi-intuitionistic propositional logic
Abstract
In the style of Lindström’s theorem for classical first-order logic, this article characterizes propositional bi-intuitionistic logic as the maximal (with respect to expressive power) abstract logic satisfying a certain form of compactness, the Tarski union property and preservation under bi-asimulations. Since bi-intuitionistic logic introduces new complexities in the intuitionistic setting by adding the analogue of a backwards looking modality, the present paper constitutes a non-trivial modification of the previous work done by the authors for intuitionistic logic (Badia and Olkhovikov, 2020, Notre Dame Journal of Formal Logic, 61, 11–30).
Year
DOI
Venue
2022
10.1093/logcom/exab058
Journal of Logic and Computation
Keywords
DocType
Volume
Lindström theorem,bi-intuitionistic logic,abstract model theory,bi-asimulations
Journal
32
Issue
ISSN
Citations 
1
0955-792X
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Grigory Olkhovikov100.34
guillermo badia255.53