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A non-recursive grammar can produce only a finite language; and each finite language can be produced by a non-recursive grammar. [1] For example, a straight-line grammar produces just a single word.
Recursion is used in a variety of disciplines ranging from linguistics to logic. The most common application of recursion is in mathematics and computer science, where a function being defined is applied within its own definition. While this apparently defines an infinite number of instances (function values), it is often done in such a way ...
In mathematics, logic and computer science, a formal language (a set of finite sequences of symbols taken from a fixed alphabet) is called recursive if it is a recursive subset of the set of all possible finite sequences over the alphabet of the language.
Within the Minimalist Program, syntax is derivational, and Merge is the structure-building operation. Merge is assumed to have certain formal properties constraining syntactic structure, and is implemented with specific mechanisms.
A common algorithm design tactic is to divide a problem into sub-problems of the same type as the original, solve those sub-problems, and combine the results. This is often referred to as the divide-and-conquer method; when combined with a lookup table that stores the results of previously solved sub-problems (to avoid solving them repeatedly and incurring extra computation time), it can be ...
Linguistic representations can be broken down into small discrete units which combine with each other in rule-governed ways. They are perceived categorically, not continuously. For example, English marks number with the plural morpheme /s/, which can be added to the end of nearly any noun. The plural morpheme is perceived categorically, not ...
In logic and analytic philosophy, an atomic sentence is a type of declarative sentence which is either true or false (may also be referred to as a proposition, statement or truthbearer) and which cannot be broken down into other simpler sentences.
The man studies linguistics enthusiastically. This sentence involves the following five PSRs: S → NP VP; NP → Det N (the man) NP → N (linguistics) AdvP → Adv (enthusiastically) VP → V NP AdvP (studies linguistics enthusiastically) With a tree diagram, the sentence's structure can be depicted as in Figure 1. Figure 1