On Defining Functions on Binary Trees

Grzegorz Bancerek

Polish Academy of Sciences, Institute of Mathematics, Warsaw

Piotr Rudnicki

University of Alberta, Department of Computing Science, Edmonton

Summary.

This article is a continuation of an article on defining functions on trees (see [6]). In this article we develop terminology specialized for binary trees, first defining binary trees and binary grammars. We recast the induction principle for the set of parse trees of binary grammars and the scheme of defining functions inductively with the set as domain. We conclude with defining the scheme of defining such functions by lambda-like expressions.

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

MML Identifier: BINTREE1

Contents (PDF format)

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