Révision 166 CSL17/conclusions.tex

conclusions.tex (revision 166)
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\anupam{By the way, Cantini asks for the provably total function of arbitrary safe induction. We kind of answer that with `PH'.}
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\anupam{Also, need some weird dual of Barcan's formula, perhaps: $\Box \exists x . A \cimp \exists x . \Box A$. This is validated by the existence of skolem functions, but syntactically requires a further axiom in the absence of comprehension.}
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\subsection{Comparison to PVi and Si2}
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We believe our theories can be embedded into their analogues, again generalising results of Bellantoni.

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