Category Archives: Boolean Functions

Grammar 2 One way to analyze the surcatenation of any number of sentences is to introduce an auxiliary type of string, not itself a sentence but a proper component of any sentence formed by surcatenation.  Doing that brings one to … Continue reading →

Grammar 1 (concl.) Returning to the case of the cactus language, the process of recognizing iterative or recursive types can be illustrated in the following way.  The operative phrases in the simplest form of recursive definition are its initial part … Continue reading →

Grammar 1 (cont.) The degree of intermediate organization in a grammar is measured by the number of its intermediate symbols and the complexity of their mutual interplay within the frame of the grammar’s productions. Grammar 1 has no intermediate symbols at … Continue reading →

Grammar 1 (cont.) In the process of developing a grammar for a language we encounter a number of organizational, pragmatic, and stylistic options whose moment to moment choices decide the ongoing direction of the work in progress and the impacts … Continue reading →

Grammar 1 Grammar 1 is something of a misnomer.  It is nowhere near exemplifying any kind of a standard form and it’s put forth only as a starting point for the initiation of more respectable grammars.  Such as it is, … Continue reading →

A certain degree of flexibility in the use of covering relations is typically allowed in practice.  Where there is little danger of confusion we may allow symbols to stand equivocally either for individual strings or for their types. There is … Continue reading →

The following definitions round out the concepts we need to begin applying formal grammar theory to the efficient description of formal languages, in particular, the family of cactus languages. It is convenient to refer to the full set of symbols … Continue reading →

A notation of the form was introduced last time to indicate a category of grammatical relationships whose sense is suggested by any of the following readings. For the moment it’s enough to call a covering relation, reading it as In … Continue reading →

A notation of the form is introduced to indicate a category of grammatical relationships whose sense is suggested by any of the following readings. The form plays a number of roles in the description of formal languages by means of … Continue reading →

Consider what effects that might conceivably have practical bearings you conceive the objects of your conception to have.  Then, your conception of those effects is the whole of your conception of the object. Charles S. Peirce • Issues of Pragmaticism … Continue reading →