首页> 中文期刊>中国科学 >The lown and lowm r.e. Degrees are not elementarily equivalent

The lown and lowm r.e. Degrees are not elementarily equivalent

     

摘要

[1]Turing, A. M., On computable numbers, with an application to the Entscheidungsproblem, Proc. Lon. Math.Soc. (2), 1936, 42: 230-265.[2]Turing, A. M., Systems of logic based on ordinals, Proc. Lon. Math. Soc. (2), 1939, 45: 161-228.[3]Post, E. L., Finite combinatory processes-formulation, J. Symb. Logic, 1936, 1: 103-105.[4]Post, E. L., Recursively enumerable sets of positive integers and their decision problems, Bull. Am. Math. Soc.,1944, 50: 284-316.[5]Friedberg, R. M., Two recursively enumerable sets of incomparable degrees of unsolvability, Proc. Nat. Ac.Sci., 1957, 43: 236-238.[6]Muchnik, A. A., On the unsolvability of the problem of reducibility in the theory of algorithms, Dokl. Akad.Nauk SSSR, N. S., 1956, 108: 29-32.[7]Shore, R. A., The recursively enumerable degrees, in Handbook of Computaility Theory (ed. Griffor, E. R.),Amsterdam: Elsevier, 1999, 169-198.[8]Nies, A., Shore, R. A., Slaman, T A., Interpretability and definability in the recursively enumerable degrees,Proc. Lon. Math. Soc. (3), 1998, 77: 241-291.[9]Jouckusch, C. G. Jr., Li, A., Yang, Y., A join theorem for the computably enumerable degrees, Trans. Am. Math.Soc., 2004, 356: 2557-2568.[10]Cholak, P., Groszek, M., Slaman, T. A., An almost deep degree, J. Symb. Logic, 2001, 66: 881-901.[11]Shore, R. A., Slaman T. A., Working below a high recursively enumerable degree, J. Symb. Logic, 1993, 58:824-859.[12]Shore, R. A., Slaman T. A., Working below a low2 recursively enumerable degree, Archive for Math. Logic,1990, 29: 201-211.[13]Li, A., Elementary differences among jump hierarchies, preprint.[14]Li, A., Definable relations on the computably enumerable degrees, in Computability and Models (eds. Cooper,S. B., Goncharov, S. S.), New York: Kluwer Academic/Plenum Publishers, 2003, 267-288.[15]Hodges, W., Model Theory, Cambridge: Cambridge University Press, 1993,[16]Sacks, G. E., Recursive enumerability and the jump operator, Trans. Am. Math. Soc., 1963, 108: 223-239.[17]Soare, R. I., Recursively Enumerable Sets and Degrees, Berlin: Springer-Verlag, 1987.[18]Robinson, R. W., Interpolation and embedding in the recursively enumerable degrees, Ann. of Math. (2), 1971,93: 285-314.

著录项

  • 来源
    《中国科学》|2004年第6期|P.950-956|共7页
  • 作者

  • 作者单位

    无;

  • 原文格式 PDF
  • 正文语种 CHI
  • 中图分类 自然科学总论;
  • 关键词

  • 入库时间 2024-01-27 05:35:52
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号