Two Programs for \bf SCM. Part I - Preliminaries

Grzegorz Bancerek

Polish Academy of Sciences, Institute of Mathematics, Warsaw

Piotr Rudnicki

University of Alberta, Department of Computing Science, Edmonton

Summary.

In two articles (this one and [4]) we discuss correctness of two short programs for the {\bf SCM} machine: one computes Fibonacci numbers and the other computes the {\em fusc} function of Dijkstra [9]. The limitations of current Mizar implementation rendered it impossible to present the correctness proofs for the programs in one article. This part is purely technical and contains a number of very specific lemmas about integer division, floor, exponentiation and logarithms. The formal definitions of the Fibonacci sequence and the {\em fusc} function may be of general interest.

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

MML Identifier: PRE_FF

Contents (PDF format)

Bibliography

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