Volume 8, Issue 1 (5-2013)                   IJMSI 2013, 8(1): 59-66 | Back to browse issues page

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Moniri M, Sajjadi S H. Cuts and overspill properties in models of bounded arithmetic. IJMSI. 2013; 8 (1) :59-66
URL: http://ijmsi.ir/article-1-403-en.html

In this paper we are concerned with cuts in models of Samuel Buss' theories of bounded arithmetic, i.e. theories like $S_{2}^i$ and $T_{2}^i$. In correspondence with polynomial induction, we consider a rather new notion of cut that we call p-cut. We also consider small cuts, i.e. cuts that are bounded above by a small element. We study the basic properties of p-cuts and small cuts. In particular, we prove some overspill and underspill properties for them.

Type of Study: Research paper | Subject: General

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