Transcription of Chapter 6 Formal Language Theory
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Chapter 6 Formal Language Theory
Chapter 6 Formal Language TheoryIn this Chapter , we introduce Formal Language Theory , the computationaltheories of languages and grammars. The models are actuallyinspired byformal logic, enriched with insights from the Theory of begin with the definition of a Language and then proceed to aroughcharacterization of the basicChomsky hierarchy. We then turn to a more de-tailed consideration of the types of languages in the hierarchy and LanguagesWhat is a Language ? Formally, a languageLis defined as as set (possiblyinfinite) of strings over some finite 7 ( Language )A languageLis a possibly infinite set of stringsover a finite alphabet .We define as the set of all possible strings over some alphabet . ThusL . The set of all possible languages over some alphabet is theset ofall possible subsets of , 2 or ( ).
Formal Language Theory In this chapter, we introduce formal language theory, the computational theories of languages and grammars. The models are actually inspired by formal logic, enriched with insights from the theory of computation. We begin with the definition of a language …
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