Volume 6, 1994

University of Bialystok

Copyright (c) 1994 Association of Mizar Users

**Yasushi Tanaka**- Shinshu University, Information Engineering Dept., Nagano

- This article defines the concept of relocating the program part of a finite partial state of {\bf SCM} (data part stays intact). The relocated program differs from the original program in that all jump instructions are adjusted by the relocation factor and other instructions remain unchanged. The main theorem states that if a program computes a function then the relocated program computes the same function, and vice versa.

This work was done under guidance and supervision of A. Trybulec and P. Rudnicki.

- Relocatability
- Main theorems of Relocatability

- [1]
Grzegorz Bancerek.
The fundamental properties of natural numbers.
*Journal of Formalized Mathematics*, 1, 1989. - [2]
Grzegorz Bancerek.
K\"onig's theorem.
*Journal of Formalized Mathematics*, 2, 1990. - [3]
Czeslaw Bylinski.
Functions and their basic properties.
*Journal of Formalized Mathematics*, 1, 1989. - [4]
Czeslaw Bylinski.
Functions from a set to a set.
*Journal of Formalized Mathematics*, 1, 1989. - [5]
Czeslaw Bylinski.
A classical first order language.
*Journal of Formalized Mathematics*, 2, 1990. - [6]
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. - [7]
Agata Darmochwal.
Finite sets.
*Journal of Formalized Mathematics*, 1, 1989. - [8]
Yatsuka Nakamura and Andrzej Trybulec.
A mathematical model of CPU.
*Journal of Formalized Mathematics*, 4, 1992. - [9]
Yatsuka Nakamura and Andrzej Trybulec.
On a mathematical model of programs.
*Journal of Formalized Mathematics*, 4, 1992. - [10]
Takaya Nishiyama and Yasuho Mizuhara.
Binary arithmetics.
*Journal of Formalized Mathematics*, 5, 1993. - [11]
Yasushi Tanaka.
On the decomposition of the states of SCM.
*Journal of Formalized Mathematics*, 5, 1993. - [12]
Andrzej Trybulec.
Tarski Grothendieck set theory.
*Journal of Formalized Mathematics*, Axiomatics, 1989. - [13]
Andrzej Trybulec and Yatsuka Nakamura.
Some remarks on the simple concrete model of computer.
*Journal of Formalized Mathematics*, 5, 1993. - [14]
Michal J. Trybulec.
Integers.
*Journal of Formalized Mathematics*, 2, 1990. - [15]
Zinaida Trybulec.
Properties of subsets.
*Journal of Formalized Mathematics*, 1, 1989. - [16]
Edmund Woronowicz.
Relations and their basic properties.
*Journal of Formalized Mathematics*, 1, 1989.

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