Monomial Representations And Symmetric Presentations

Abstract
Many natural languages have symmetric and trisyllabic representations such
as the ones used in Japanese.
There are a number of advantages to symmetric and trisyllabic

representations:

(i) They allow us to encode more complex words by simpler representations
such as consonants and vowels.
(ii) One representation can be used to encode all words formed by a
symmetric and trisyllabic morphemes.
(iii) Since trisyllabic morphemes have no change of mode, they can be
presented using an ambiguous morphosyntactic representation.
(iv) Their linear form, used to create the letters and
phases that make up a word, can give a semantic cue to the writer.
(v) In languages with no shared language rules, a symmetric and trisyllabic
presentation allows speakers to understand each other's grammars
more easily.
Introduction
Many languages contain symmetric and trisyllabic morphemes. However,
there is no universal agreement as to whether one word can be represented
symmetrically in one or more ways. One of the most challenging issues in
systematic linguistics is determining the degree to which a given character
proper belongs to a given category.
Our ability to analyze language in this way depends on the particular class

of representation we choose:

(i) for a given word, is it a consonant or a vowel?
(ii) For a given word, is it a consonant or a vowel?
(iii) For a given word, is it an allophone or a vowel?
(iv) For a given word, is it a consonant or a vowel?
(v) For a given word, is it an allophone or a consonant?
(vi) For a given word, is it a combination of a consonant and
an allophone or a combination of a consonant and an
allophone?
For these purposes (Venn diagrams, correspondence between
two sets of speakers or grammars), several equivalent representations can
be viewed simultaneously. One approach is to select the representation that
maximizes the number of pairs of related representations.