Canonicity for Intensional Logics with Even Axioms
Surendonk, Timothy J.
J. Symbolic Logic, Tome 66 (2001) no. 1, p. 1141-1156 / Harvested from Project Euclid
This paper looks at the concept of neighborhood canonicity introduced by BRIAN CHELLAS [2]. We follow the lead of the author's paper [9] where it was shown that every non-iterative logic is neighborhood canonical and here we will show that all logics whose axioms have a simple syntactic form-no intensional operator is in boolean combination with a propositional letter-and which have the finite model property are neighborhood canonical. One consequence of this is that KMcK, the McKinsey logic, is neighborhood canonical, an interesting counterpoint to the results of ROBERT GOLDBLATT and XIAOPING WANG who showed, respectively, that KMcK is not relational canonical [5] and that KMcK is not relationally strongly complete [11].
Publié le : 2001-09-14
Classification: 
@article{1183746551,
     author = {Surendonk, Timothy J.},
     title = {Canonicity for Intensional Logics with Even Axioms},
     journal = {J. Symbolic Logic},
     volume = {66},
     number = {1},
     year = {2001},
     pages = { 1141-1156},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746551}
}
Surendonk, Timothy J. Canonicity for Intensional Logics with Even Axioms. J. Symbolic Logic, Tome 66 (2001) no. 1, pp.  1141-1156. http://gdmltest.u-ga.fr/item/1183746551/