An intensional fixed point theory over first order arithmetic
نویسنده
چکیده
The purpose of this article is to present a new theory IPA(σ) for fixed points over arithmetic which allows the building up of fixed points in a very nested and entangled way. But in spite of its great expressive power we can show that the proof-theoretic strength of our theory – which is intensional in a meaning to be described below – is characterized by the Feferman-Schütte ordinal Γ0. Our approach is similar to the building up of fixed points over state spaces in the propositional modal μ-calculus.
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عنوان ژورنال:
- Ann. Pure Appl. Logic
دوره 128 شماره
صفحات -
تاریخ انتشار 2004