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A Note on the Issue of Cohesiveness in Canonical Models
by
Pascucci, Matteo
in
Education
/ Information Systems Applications (incl.Internet)
/ Logic
/ Philosophy
/ Semantics
2020
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A Note on the Issue of Cohesiveness in Canonical Models
by
Pascucci, Matteo
in
Education
/ Information Systems Applications (incl.Internet)
/ Logic
/ Philosophy
/ Semantics
2020
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Journal Article
A Note on the Issue of Cohesiveness in Canonical Models
2020
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Overview
In their presentation of canonical models for normal systems of modal logic, Hughes and Cresswell observe that some of these models are based on a frame which can be also thought of as a collection of two or more isolated frames; they call such frames ‘non-cohesive’. The problem of checking whether the canonical model of a given system is cohesive is still rather unexplored and no general decision procedure is available. The main contribution of this article consists in introducing a method which is sufficient to show that canonical models of some relevant classes of normal monomodal and bimodal systems are always non-cohesive.
Publisher
Springer Netherlands,Springer Nature B.V
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