Journal of Formalized Mathematics
Volume 9, 1997
University of Bialystok
Copyright (c) 1997
Association of Mizar Users
The \tt loop and \tt Times Macroinstruction for \SCMFSA
-
Noriko Asamoto
-
Ochanomizu University, Tokyo
Summary.
-
We implement two macroinstructions {\tt loop} and {\tt Times}
which iterate macroinstructions of {\SCMFSA}.
In a {\tt loop} macroinstruction it jumps to the head
when the original macroinstruction stops, in a {\tt Times} macroinstruction
it behaves as if the original macroinstrucion repeats $n$ times.
The terminology and notation used in this paper have been
introduced in the following articles
[18]
[17]
[7]
[11]
[24]
[10]
[12]
[9]
[6]
[13]
[19]
[16]
[23]
[20]
[21]
[8]
[15]
[22]
[4]
[5]
[3]
[1]
[2]
[14]
-
Preliminaries
-
The {\tt loop} Macroinstruction
-
The {\tt Times} Macroinstruction
-
An example
Bibliography
- [1]
Noriko Asamoto.
Conditional branch macro instructions of \SCMFSA. Part I.
Journal of Formalized Mathematics,
8, 1996.
- [2]
Noriko Asamoto.
Conditional branch macro instructions of \SCMFSA. Part II.
Journal of Formalized Mathematics,
8, 1996.
- [3]
Noriko Asamoto.
Constant assignment macro instructions of \SCMFSA. Part II.
Journal of Formalized Mathematics,
8, 1996.
- [4]
Noriko Asamoto, Yatsuka Nakamura, Piotr Rudnicki, and Andrzej Trybulec.
On the composition of macro instructions. Part II.
Journal of Formalized Mathematics,
8, 1996.
- [5]
Noriko Asamoto, Yatsuka Nakamura, Piotr Rudnicki, and Andrzej Trybulec.
On the composition of macro instructions. Part III.
Journal of Formalized Mathematics,
8, 1996.
- [6]
Grzegorz Bancerek.
Cardinal numbers.
Journal of Formalized Mathematics,
1, 1989.
- [7]
Grzegorz Bancerek.
The fundamental properties of natural numbers.
Journal of Formalized Mathematics,
1, 1989.
- [8]
Grzegorz Bancerek and Piotr Rudnicki.
Development of terminology for \bf scm.
Journal of Formalized Mathematics,
5, 1993.
- [9]
Grzegorz Bancerek and Andrzej Trybulec.
Miscellaneous facts about functions.
Journal of Formalized Mathematics,
8, 1996.
- [10]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
- [11]
Czeslaw Bylinski.
A classical first order language.
Journal of Formalized Mathematics,
2, 1990.
- [12]
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.
- [13]
Yatsuka Nakamura and Andrzej Trybulec.
A mathematical model of CPU.
Journal of Formalized Mathematics,
4, 1992.
- [14]
Takaya Nishiyama and Yasuho Mizuhara.
Binary arithmetics.
Journal of Formalized Mathematics,
5, 1993.
- [15]
Piotr Rudnicki and Andrzej Trybulec.
Memory handling for \SCMFSA.
Journal of Formalized Mathematics,
8, 1996.
- [16]
Yasushi Tanaka.
On the decomposition of the states of SCM.
Journal of Formalized Mathematics,
5, 1993.
- [17]
Andrzej Trybulec.
Enumerated sets.
Journal of Formalized Mathematics,
1, 1989.
- [18]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [19]
Andrzej Trybulec and Yatsuka Nakamura.
Some remarks on the simple concrete model of computer.
Journal of Formalized Mathematics,
5, 1993.
- [20]
Andrzej Trybulec and Yatsuka Nakamura.
Modifying addresses of instructions of \SCMFSA.
Journal of Formalized Mathematics,
8, 1996.
- [21]
Andrzej Trybulec and Yatsuka Nakamura.
Relocability for \SCMFSA.
Journal of Formalized Mathematics,
8, 1996.
- [22]
Andrzej Trybulec, Yatsuka Nakamura, and Noriko Asamoto.
On the compositions of macro instructions. Part I.
Journal of Formalized Mathematics,
8, 1996.
- [23]
Andrzej Trybulec, Yatsuka Nakamura, and Piotr Rudnicki.
The \SCMFSA computer.
Journal of Formalized Mathematics,
8, 1996.
- [24]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received October 29, 1997
[
Download a postscript version,
MML identifier index,
Mizar home page]