*A context-free grammar provides a simple and mathematically precise mechanism for describing the methods by which phrases in some natural language are built from smaller blocks, capturing the "block structure" of sentences in a natural way.
*The linguistic formalism derived from Noam Chomsky.
*In Chomsky's generative grammar, the syntax of natural language was described by a context-free rules combined with transformation rules.
*The framework idea of formulating grammar consisting of explicit rewrite rules was abandoned.
*The formalist propositions regarding innateness and stimuli do fit extensively with the cognitive opposition to behaviouristic psychology.
*Chomsky's position can be characterized as a continuation of essential principles of structuralist theory from Saussure.
*Mathematical logic, the discipline which studies formal grammars and languages, is a branch of applied mathematics.
Its applications are found in theoretical linguistics, formal language theory, theoretical computer science, formal semantics, and other areas.
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