A Note on Induction Schemas in Bounded Arithmetic

dc.creatorIgnjatovic, Aleksandar
dc.date2002-10-14
dc.date.accessioned2026-07-07T03:18:55Z
dc.date.available2026-07-07T03:18:55Z
dc.descriptionAs is well known, Buss' theory of bounded arithmetic $S^{1}_{2}$ proves $Σ_{0}^{b}(Σ_{1}^{b})-LIND$; however, we show that Allen's $D_{2}^{1}$ does not prove $Σ_{0}^{b}(Σ_{1}^{b})-LLIND$ unless $P = NC$. We also give some interesting alternative axiomatisations of $S^{1}_{2}$.
dc.identifierhttps://arxiv.org/abs/cs/0210011
dc.identifierhttp://arxiv.org/abs/cs/0210011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/31313
dc.subjectLogic in Computer Science
dc.subjectComputational Complexity
dc.subjectF.4.1
dc.titleA Note on Induction Schemas in Bounded Arithmetic
dc.typetext

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