Title
Coherence in Modal Logic.
Abstract
A variety is said to be coherent if the finitely generated subalgebras of its finitely presented members are also finitely presented. In a recent paper by the authors it was shown that coherence forms a key ingredient of the uniform deductive interpolation property for equational consequence in a variety, and a general criterion was given for the failure of coherence (and hence uniform deductive interpolation) in varieties of algebras with a term-definable semilattice reduct. In this paper, a more general criterion is obtained and used to prove the failure of coherence and uniform deductive interpolation for a broad family of modal logics, including K, KT, K4, and S4.
Year
DOI
Venue
2018
10.7892/boris.119774
Advances in Modal Logic
Field
DocType
Citations 
Discrete mathematics,Reduct,Finitely-generated abelian group,Algebra,Computer science,Interpolation,Coherence (physics),Modal logic,Semilattice,Modal
Conference
0
PageRank 
References 
Authors
0.34
6
2
Name
Order
Citations
PageRank
Tomasz Kowalski112424.06
george metcalfe219620.10