Journal of Formalized Mathematics
Volume 5, 1993
University of Bialystok
Copyright (c) 1993 Association of Mizar Users

## Development of Terminology for \bf SCM

Grzegorz Bancerek
Polish Academy of Sciences, Institute of Mathematics, Warsaw
Piotr Rudnicki
University of Alberta, Department of Computing Science, Edmonton

### Summary.

We develop a higher level terminology for the {\bf SCM} machine defined by Nakamura and Trybulec in [5]. Among numerous technical definitions and lemmas we define a complexity measure of a halting state of {\bf SCM} and a loader for {\bf SCM} for arbitrary finite sequence of instructions. In order to test the introduced terminology we discuss properties of eight shortest halting programs, one for each instruction.

This work was partially supported by NSERC Grant OGP9207 while the first author visited University of Alberta, May--June 1993.

#### MML Identifier: SCM_1

The terminology and notation used in this paper have been introduced in the following articles [6] [11] [8] [1] [10] [7] [12] [3] [4] [2] [5] [9]

Contents (PDF format)

#### Bibliography

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