Verification, falsification, and cancellation in ${\rm KT}$

Notre Dame Journal of Formal Logic 31 (2):286-290 (1990)
The main result of this paper is that KT is closed under a cancellation principle . This result extends to KTG1, but it does not extend to modal systems associated with the provability interpretation of L, such as KW and KT4Grz . Following Williamson, these results are applied to philosophical concerns about the proper form for theories of meaning, via the interpretation of L as some kind of veriflability. The cancellation principle can then be read as saying that verifilability conditions and falsiflability conditions jointly determine truth conditions
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DOI 10.1305/ndjfl/1093635422
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