Notre Dame Journal of Formal Logic

Modal Logics in the Vicinity of S1

Brian F. Chellas and Krister Segerberg

Abstract

We define prenormal modal logics and show that S1, S1$^\circ$, S0.9, and S0.9$^\circ$ are Lewis versions of certain prenormal logics, determination and decidability for which are immediate. At the end we characterize Cresswell logics and ponder C. I. Lewis's idea of strict implication in S1.

Article information

Source
Notre Dame J. Formal Logic Volume 37, Number 1 (1996), 1-24.

Dates
First available in Project Euclid: 16 December 2002

Permanent link to this document
http://projecteuclid.org/euclid.ndjfl/1040067312

Mathematical Reviews number (MathSciNet)
MR1379545

Digital Object Identifier
doi:10.1305/ndjfl/1040067312

Zentralblatt MATH identifier
0859.03011

Subjects
Primary: 03B45: Modal logic (including the logic of norms) {For knowledge and belief, see 03B42; for temporal logic, see 03B44; for provability logic, see also 03F45}

Citation

Chellas, Brian F.; Segerberg, Krister. Modal Logics in the Vicinity of S1 . Notre Dame J. Formal Logic 37 (1996), no. 1, 1--24. doi:10.1305/ndjfl/1040067312. http://projecteuclid.org/euclid.ndjfl/1040067312.


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References

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