Analyticity, balance and non-admissibility of Cut in Stoic logic

This paper shows that, for the Hertz–Gentzen Systems of 1933 (without Thinning), extended by a classical rule T1 (from the Stoics) and using certain axioms (also from the Stoics), all derivations are analytic: every cut formula occurs as a subformula in the cut’s conclusion. Since the Stoic cut rule...

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Bibliographic Details
Main Authors: Bobzien, S, Dyckhoff, R
Format: Journal article
Language:English
Published: Springer Verlag 2018