Mathematical Logic Quarterly 38 (1):107-141 (1992)

Authors
Andrea Cantini
Università degli Studi di Firenze
Abstract
We investigate a theory of Frege structures extended by the Myhill-Flagg hierarchy of implications. We study its relation to a property theory with an approximation operator and we give a proof theoretical analysis of the basic system involved. MSC: 03F35, 03D60
Keywords Frege structures  Levels of implication  Partial classifications  Untyped comprehension principle  Myhill‐Flagg hierarchy  Type free theory of operations
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DOI 10.1002/malq.19920380109
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References found in this work BETA

Proof Theory.K. Schütte - 1977 - Springer Verlag.
Elementary Induction on Abstract Structures.Wayne Richter - 1979 - Journal of Symbolic Logic 44 (1):124-125.
Proof Theory and Logical Complexity.J. Y. Girard - 1991 - Annals of Pure and Applied Logic 53 (4):197.

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Citations of this work BETA

Fixed Points in Peano Arithmetic with Ordinals.Gerhard Jäger - 1993 - Annals of Pure and Applied Logic 60 (2):119-132.

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