دوره 8، شماره 1 - ( 2-1392 )                   جلد 8 شماره 1 صفحات 59-66 | برگشت به فهرست نسخه ها


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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-fa.html
Cuts and overspill properties in models of bounded arithmetic. مجله علوم ریاضی و انفورماتیک ایرانیان. 1392; 8 (1) :59-66

URL: http://ijmsi.ir/article-1-403-fa.html


چکیده:  

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.

نوع مطالعه: پژوهشي | موضوع مقاله: عمومى

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