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

## A Compiler of Arithmetic Expressions for SCM

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

### Summary.

We define a set of binary arithmetic expressions with the following operations: $+$, $-$, $\cdot$, {\tt mod}, and {\tt div} and formalize the common meaning of the expressions in the set of integers. Then, we define a compile function that for a given expression results in a program for the {\bf SCM} machine defined by Nakamura and Trybulec in [14]. We prove that the generated program when loaded into the machine and executed computes the value of the expression. The program uses additional memory and runs in time linear in length of the expression.

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

#### MML Identifier: SCM_COMP

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

Contents (PDF format)

#### Bibliography

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