Interpolation for first order $S5$
Fitting, Melvin
J. Symbolic Logic, Tome 67 (2002) no. 1, p. 621-634 / Harvested from Project Euclid
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An interpolation theorem holds for many standard modal logics, but first order $S5$ is a prominent example of a logic for which it fails. In this paper it is shown that a first order $S5$ interpolation theorem can be proved provided the logic is extended to contain propositional quantifiers. A proper statement of the result involves some subtleties, but this is the essence of it.
Publié le : 2002-06-14
Classification:  03B45 
@article{1190150101,
     author = {Fitting, Melvin},
     title = {Interpolation for first order $S5$},
     journal = {J. Symbolic Logic},
     volume = {67},
     number = {1},
     year = {2002},
     pages = { 621-634},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190150101}
}

Fitting, Melvin. Interpolation for first order $S5$. J. Symbolic Logic, Tome 67 (2002) no. 1, pp.  621-634. http://gdmltest.u-ga.fr/item/1190150101/