Journal of Formalized Mathematics
Volume 6, 1994
University of Bialystok
Copyright (c) 1994 Association of Mizar Users

## Preliminaries to Circuits, I

Yatsuka Nakamura
Shinshu University, Nagano
Piotr Rudnicki
University of Alberta, Edmonton
Andrzej Trybulec
Warsaw University, Bialystok
Pauline N. Kawamoto
Shinshu University, Nagano

### Summary.

This article is the first in a series of four articles (continued in [23],[22],[24]) about modelling circuits by many-sorted algebras.\par Here, we introduce some auxiliary notations and prove auxiliary facts about many sorted sets, many sorted functions and trees.

This work was initiated while the second author visited Nagano (March--May 1994) and then continued when the third author visited Edmonton (May--June 1994). The work was finalized when the fourth author visited Bia{\l}ystok (October--November 1994). Partial funding for this work has been provided by: Shinshu Endowment Fund for Information Science, NSERC Grant OGP9207, JSTF award 651-93-S009.

#### MML Identifier: PRE_CIRC

The terminology and notation used in this paper have been introduced in the following articles [26] [15] [31] [4] [30] [2] [1] [5] [29] [19] [32] [13] [18] [14] [25] [17] [7] [3] [9] [10] [11] [6] [8] [27] [20] [28] [21] [12] [16]

#### Contents (PDF format)

1. Varia
2. Many Sorted Sets and Functions
3. Trees

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