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On Kreisel's notion of validity in post systems

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Abstract

This paper investigates various interpretations of HPC (Heyting's predicate calculus) and mainly of HPC0 (Heyting's propositional calculus) in Post systems.

§1 recalls some background material concerning HPC including the Kripke and Beth interpretations, and later sections study the various interpretations available.

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References

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Allatum est die 27 Octobris 1975

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Gabbay, D.M. On Kreisel's notion of validity in post systems. Stud Logica 35, 285–295 (1976). https://doi.org/10.1007/BF02282491

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