The Properties of Instructions of SCM over Ring

Journal of Formalized Mathematics
Volume 12, 2000
University of Bialystok
Copyright (c) 2000 Association of Mizar Users

The Properties of Instructions of SCM over Ring

Artur Kornilowicz: University of Bialystok

MML Identifier: SCMRING3

The terminology and notation used in this paper have been introduced in the following articles [22] [29] [12] [23] [19] [30] [8] [9] [7] [2] [3] [24] [1] [27] [10] [5] [11] [20] [4] [6] [16] [28] [17] [18] [25] [21] [14] [13] [26] [15]

Contents (PDF format)

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. K\"onig's theorem. Journal of Formalized Mathematics, 2, 1990.

[5] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Journal of Formalized Mathematics, 1, 1989.

[6] Grzegorz Bancerek and Andrzej Trybulec. Miscellaneous facts about functions. Journal of Formalized Mathematics, 8, 1996.

[7] Jozef Bialas. Group and field definitions. Journal of Formalized Mathematics, 1, 1989.

[8] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.

[9] Czeslaw Bylinski. Functions from a set to a set. Journal of Formalized Mathematics, 1, 1989.

[10] Czeslaw Bylinski. A classical first order language. Journal of Formalized Mathematics, 2, 1990.

[11] 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.

[12] Agata Darmochwal. Finite sets. Journal of Formalized Mathematics, 1, 1989.

[13] Artur Kornilowicz. The basic properties of \SCM over ring. Journal of Formalized Mathematics, 10, 1998.

[14] Artur Kornilowicz. The construction of \SCM over ring. Journal of Formalized Mathematics, 10, 1998.

[15] Artur Kornilowicz. On the composition of macro instructions of standard computers. Journal of Formalized Mathematics, 12, 2000.

[16] Eugeniusz Kusak, Wojciech Leonczuk, and Michal Muzalewski. Abelian groups, fields and vector spaces. Journal of Formalized Mathematics, 1, 1989.

[17] Yatsuka Nakamura and Andrzej Trybulec. A mathematical model of CPU. Journal of Formalized Mathematics, 4, 1992.

[18] Yatsuka Nakamura and Andrzej Trybulec. On a mathematical model of programs. Journal of Formalized Mathematics, 4, 1992.

[19] Beata Padlewska. Families of sets. Journal of Formalized Mathematics, 1, 1989.

[20] Dariusz Surowik. Cyclic groups and some of their properties --- part I. Journal of Formalized Mathematics, 3, 1991.

[21] Yasushi Tanaka. On the decomposition of the states of SCM. Journal of Formalized Mathematics, 5, 1993.

[22] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.

[23] Andrzej Trybulec. Tuples, projections and Cartesian products. Journal of Formalized Mathematics, 1, 1989.

[24] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.

[25] Andrzej Trybulec and Yatsuka Nakamura. Some remarks on the simple concrete model of computer. Journal of Formalized Mathematics, 5, 1993.

[26] Andrzej Trybulec, Piotr Rudnicki, and Artur Kornilowicz. Standard ordering of instruction locations. Journal of Formalized Mathematics, 12, 2000.

[27] Wojciech A. Trybulec. Vectors in real linear space. Journal of Formalized Mathematics, 1, 1989.

[28] Wojciech A. Trybulec. Groups. Journal of Formalized Mathematics, 2, 1990.

[29] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.

[30] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received April 14, 2000

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