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Bijections between formulae and trees which are compatible with equivalences of the type ((ƒ·g)·h)∼((ƒ·h)·g)

✍ Scribed by R.P. Nederpelt


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
376 KB
Volume
59
Category
Article
ISSN
0012-365X

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✦ Synopsis


We describe a bijection which maps trivalent ordered trees, representing certain formulae, onto ordered trees. The mapping is such that an equivalence relation of the type ((f o g) o h) ((f o h)o g) on the set of formulae, induces the equivalence relation of being equal modulo order on the set of ordered trees.