Extending models of arithmetic
نویسندگان
چکیده
منابع مشابه
On extending automorphisms of models of Peano Arithmetic
Continuing the earlier research in [10] we give some information on extending automorphisms of models of PA to end extensions and cofinal extensions.
متن کاملMore on extending automorphisms of models of Peano Arithmetic
Continuing the earlier research [Fund. Math. 129 (1988) and 149 (1996)] we give some information about extending automorphisms of models of PA to cofinal extensions. In recent work on automorphisms of recursively saturated models of PA two themes stand out. One is the classification of conjugacy classes of single automorphisms, the other is the classification of subgroups of the automorphism gr...
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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 particula...
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In 1983 Takeuchi showed that up to conjugation there are exactly 4 arithmetic subgroups of PSL2(R) with signature (1;∞). Shinichi Mochizuki gave a purely geometric characterization of the corresponding arithmetic (1;∞)-curves, which also arise naturally in the context of his recent work on inter-universal Teichmüller theory. Using Bely̆ı maps, we explicitly determine the canonical models of thes...
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We introduce three relations between models of Peano Arithmetic (PA), each of which is characterized as an arithmetical accessibility relation. A relation R is said to be an arithmetical accessibility relation if for any modelM of PA,M Prπ(φ) iffM′ φ for allM′ withM RM′, where Prπ(x) is an intensionally correct provability predicate of PA. The existence of arithmetical accessibility relations y...
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ژورنال
عنوان ژورنال: Annals of Mathematical Logic
سال: 1978
ISSN: 0003-4843
DOI: 10.1016/0003-4843(78)90013-x