2014
DOI: 10.1002/malq.201300063
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A note on the theory SID<ω of stratified induction

Abstract: We introduce and analyse a theory of finitely stratified general inductive definitions over the natural numbers, SID < ω , and establish its proof theoretic ordinal, ϕ ε 0 (0). The definition of SID < ω bears some similarities with Leivant's ramified theories for finitary inductive definitions.

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