Title
The intensional side of algebraic-topological representation theorems
Abstract
Stone representation theorems are a central ingredient in the metatheory of philosophical logics and are used to establish modal embedding results in a general but indirect and non-constructive way. Their use in logical embeddings will be reviewed and it will be shown how they can be circumvented in favour of direct and constructive arguments through the methods of analytic proof theory, and how the intensional part of the representation results can be recovered from the syntactic proof of those embeddings. Analytic methods will also be used to establish the embedding of subintuitionistic logics into the corresponding modal logics. Finally, proof-theoretic embeddings will be interpreted as a reduction of classes of word problems.
Year
DOI
Venue
2021
10.1007/s11229-017-1331-1
Synthese
Keywords
DocType
Volume
Stone representation, Logical embeddings, Philosophical logics, Intermediate logics, Subintuitionistic logics, Modal companions, Word problems, Cut elimination, Pointfree topology
Journal
198
Issue
ISSN
Citations 
5
1573-0964
0
PageRank 
References 
Authors
0.34
20
1
Name
Order
Citations
PageRank
Sara Negri128024.76