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ON THE INCOMPLETENESS OF A DESCENDING CHAIN OF EXTENSIONS OF IMPLICATIONAL S5

โœ Scribed by Dolph Ulrich

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
143 KB
Volume
38
Category
Article
ISSN
0044-3050

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โœฆ Synopsis

Abstract

C5.ฯ‰ is obtained by adding, schematically, to the strictโ€implicational fragment C5 of S5 the axiom ((p โ†’ q) โ†’ (q โ†’ p)) โ†’ (q โ†’ p). This paper presents a fully general proof that neither C5.ฯ‰ nor any of a descending chain of its extensions is complete with respect to any class of frames, correcting the garbled details of a version skeched in an earlier paper (same Zeitschrift 31 (1985), 201โ€208).

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