Changes

Until further notice, the next part of this discussion applies only to one-level formal languages.  When this project reaches the stage of dealing with higher-level formal languages, a few of the following definitions and default assumptions will need to be adjusted slightly.

Until further notice, the next part of this discussion applies only to one-level formal languages.  When this project reaches the stage of dealing with higher-level formal languages, a few of the following definitions and default assumptions will need to be adjusted slightly.

It is convenient to have a generic term for referring to alphabets and lexicons, indifferently, without concern for their level of construction.  Therefore, I describe any finite set <math>\underline{\underline{X}}</math> as a '''syntactic resource''' for the syntactic domain <math>\underline{X},</math> provided that its elements are regarded as syntactic primitives that can be used to construct the signs and expressions in <math>\underline{X}.</math>  If the primitive signs in a syntactic resource are regarded as denoting primitive objects or primitive operations, then I refer to a collection of these objects or operations as an ''objective'' or ''operational'' resource, as the case may be.

It is convenient to have a general term for referring to alphabets and lexicons, indifferently, without concern for their level of construction.  Therefore, any finite set <math>\underline{\underline{X}}</math> may be described as a '''syntactic resource''' for the syntactic domain <math>\underline{X},</math> provided its elements serve as syntactic primitives for constructing the signs and expressions in <math>\underline{X}.</math>  If the primitive signs in a syntactic resource are taken to denote primitive objects or primitive operations, then collections of such objects or operations may be described as ''objective'' or ''operational'' resources, respectively.

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