Valuational semantics of rule derivability

Journal of Philosophical Logic 25 (5):451 - 461 (1996)
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Abstract

If a certain semantic relation (which we call 'local consequence') is allowed to guide expectations about which rules are derivable from other rules, these expectations will not always be fulfilled, as we illustrate. An alternative semantic criterion (based on a relation we call 'global consequence'), suggested by work of J.W. Garson, turns out to provide a much better - indeed a perfectly accurate - guide to derivability

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Lloyd Humberstone
Monash University

References found in this work

Semantical Investigations in Heyting's Intuitionistic Logic.Dov M. Gabbay - 1986 - Journal of Symbolic Logic 51 (3):824-824.
Note on Rules of Inference.Hao Wang - 1965 - Mathematical Logic Quarterly 11 (3):193-196.
Categorical Semantics.James W. Garson - 1990 - In J. Dunn & A. Gupta (eds.), Truth or Consequences: Essays in Honor of Nuel Belnap. Boston, MA, USA: Kluwer Academic Publishers. pp. 155--175.
Remarks on Sentential Logics.R. Suszko - 1975 - Journal of Symbolic Logic 40 (4):603-604.

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