Journal of Formalized Mathematics
Volume 15, 2003
University of Bialystok
Copyright (c) 2003 Association of Mizar Users

SCMPDS Is Not Standard


Artur Kornilowicz
University of Bialystok, Poland
This paper was written during the first author's post-doctoral fellowship granted by Shinshu University, Japan.
Yasunari Shidama
Shinshu University, Nagano, Japan

Summary.

The aim of the paper is to show that SCMPDS ([8]) does not belong to the class of standard computers ([16]).

MML Identifier: SCMPDS_9

The terminology and notation used in this paper have been introduced in the following articles [13] [19] [11] [3] [2] [14] [5] [12] [17] [1] [6] [9] [18] [20] [7] [4] [10] [15] [8] [16]

Contents (PDF format)

  1. Preliminaries
  2. SCMPDS

Bibliography

[1] Grzegorz Bancerek. The fundamental properties of natural numbers. Journal of Formalized Mathematics, 1, 1989.
[2] Grzegorz Bancerek. The ordinal numbers. Journal of Formalized Mathematics, 1, 1989.
[3] Grzegorz Bancerek. Sequences of ordinal numbers. Journal of Formalized Mathematics, 1, 1989.
[4] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Journal of Formalized Mathematics, 1, 1989.
[5] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[6] Czeslaw Bylinski. A classical first order language. Journal of Formalized Mathematics, 2, 1990.
[7] Czeslaw Bylinski. The modification of a function by a function and the iteration of the composition of a function. Journal of Formalized Mathematics, 2, 1990.
[8] Jing-Chao Chen. The SCMPDS computer and the basic semantics of its instructions. Journal of Formalized Mathematics, 11, 1999.
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[12] Jan Popiolek. Some properties of functions modul and signum. Journal of Formalized Mathematics, 1, 1989.
[13] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[14] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.
[15] Andrzej Trybulec and Yatsuka Nakamura. Some remarks on the simple concrete model of computer. Journal of Formalized Mathematics, 5, 1993.
[16] Andrzej Trybulec, Piotr Rudnicki, and Artur Kornilowicz. Standard ordering of instruction locations. Journal of Formalized Mathematics, 12, 2000.
[17] Michal J. Trybulec. Integers. Journal of Formalized Mathematics, 2, 1990.
[18] Wojciech A. Trybulec. Groups. Journal of Formalized Mathematics, 2, 1990.
[19] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[20] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received September 27, 2003


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