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Journal of the Australian Mathematical Society
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Journal of the Australian Mathematical Society
Article . 1974 . Peer-reviewed
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Formulae for well formed formulae and their enumeration

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1974 English Publisher:Cambridge University Press (CUP)Journal:Journal of the Australian Mathematical Society, volume 17, pages 154-162 (issn: 0004-9735, Copyright policy )
Authors: Dov Tamari;

doi: 10.1017/s1446788700016736

Formulae for well formed formulae and their enumeration

Abstract

1. General Idea. In this paper formal operators and bracketings devices are essentially the same; so are well formed formulae and correct bracketings.A well known theorem of symbolic logic (Post languages, etc.) and universal algebra characterizes well formed formulae among (linear) strings of symbols for variables and operators in terms of a system of numerical inequalities, one of them an equality.

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Keywords

Algebraic structures, General logic, Factorials, binomial coefficients, combinatorial functions, Combinatorial identities, bijective combinatorics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
bronze
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