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Levels of implication and type free theories of classifications with approximation operator
Mathematical Logic Quarterly 38 (1):107-141 (1992)
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, 03D60Author's Profile
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Citations of this work
Fixed points in Peano arithmetic with ordinals.Gerhard Jäger - 1993 - Annals of Pure and Applied Logic 60 (2):119-132.
Second order theories with ordinals and elementary comprehension.Gerhard Jäger & Thomas Strahm - 1995 - Archive for Mathematical Logic 34 (6):345-375.
Extending constructive operational set theory by impredicative principles.Andrea Cantini - 2011 - Mathematical Logic Quarterly 57 (3):299-322.
Extending the first-order theory of combinators with self-referential truth.Andrea Cantini - 1993 - Journal of Symbolic Logic 58 (2):477-513.
References found in this work
Elementary induction on abstract structures.Yiannis Nicholas Moschovakis - 1974 - Mineola, N.Y.: Dover Publications.
The lambda calculus: its syntax and semantics.Hendrik Pieter Barendregt - 1981 - New York, N.Y.: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co..
The Lambda Calculus. Its Syntax and Semantics.E. Engeler - 1984 - Journal of Symbolic Logic 49 (1):301-303.
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