AU - Moniri, Morteza AU - Sajjadi, S. Hosein TI - Cuts and overspill properties in models of bounded arithmetic PT - JOURNAL ARTICLE TA - IJMSI JN - IJMSI VO - 8 VI - 1 IP - 1 4099 - http://ijmsi.ir/article-1-403-en.html 4100 - http://ijmsi.ir/article-1-403-en.pdf SO - IJMSI 1 ABĀ  - 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. CP - IRAN IN - LG - eng PB - IJMSI PG - 59 PT - Research paper YR - 2013