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A NOTE ON THEORIES FOR QUASI-INDUCTIVE DEFINITIONS
Published online by Cambridge University Press: 01 December 2009
Abstract
This paper introduces theories for arithmetical quasi-inductive definitions (Burgess, 1986) as it has been done for first-order monotone and nonmonotone inductive ones. After displaying the basic axiomatic framework, we provide some initial result in the proof theoretic bounds line of research (the upper one being given in terms of a theory of sets extending Kripke–Platek set theory).
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- Copyright © Association for Symbolic Logic 2009
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