The \tt while Macro Instructions of \SCMFSA. Part II

Piotr Rudnicki

University of Alberta, Edmonton

This work was partially supported by NSERC Grant OGP9207 and NATO CRG 951368.

Summary.

An attempt to use the {\tt while} macro, [16], was the origin of writing this article. The {\tt while} semantics, as given by J.-C.~Chen, is slightly extended by weakening its correctness conditions and this forced a quite straightforward remake of a number of theorems from [16]. Numerous additional properties of the {\tt while} macro are then proven. In the last section, we define a macro instruction computing the {\tt fusc} function (see the SCM program computing the same function in [12]) and prove its correctness.

MML Identifier: SCMFSA9A

Contents (PDF format)

1. Arithmetic Preliminaries
2. {\SCMFSA} Preliminaries
3. The {\tt while=0} Macro Instruction
4. The {\tt while>0} Macro Instruction
5. A Macro for the {\tt fusc} Function

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