Works by Pérez-Jiménez, Mario (exact spelling)

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    On Overspill Principles and Axiom Schemes for Bounded Formulas.Joaquín Borrego-Díaz, Alejandro Fernández-Margarit & Mario Pérez-Jiménez - 1996 - Mathematical Logic Quarterly 42 (1):341-348.
    We study the theories I∇n, L∇n and overspill principles for ∇n formulas. We show that IEn ⇒ L∇n ⇒ I∇n, but we do not know if I∇n L∇n. We introduce a new scheme, the growth scheme Crγ, and we prove that L∇n ⇒ Cr∇n⇒ I∇n. Also, we analyse the utility of bounded collection axioms for the study of the above theories.
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