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Formal language table

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10 Formal language topics

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x Recursively enumerable language   Turing machine
In mathematics, logic and computer science, a recursively enumerable language is a type of formal language which is also called partially decidable or Turing-recognizable. It is known as a type-0 language in the Chomsky hierarchy of formal languages...
x Regular language תמונה:Empty Lang Deterministic finite state machine
In theoretical computer science, a regular language is a formal language (i.e., a possibly infinite set of finite sequences of symbols from a finite alphabet) that satisfies the following equivalent properties: The collection of regular languages...
Nondeterministic finite state machine
x Context-free language   Pushdown automaton
In formal language theory, a context-free language is a language generated by some context-free grammar. The set of all context-free languages is identical to the set of languages accepted by pushdown automata. An archetypical context-free language...
x Deterministic context-free language   Deterministic pushdown automaton
A deterministic context-free language is a formal language which is defined by a deterministic context-free grammar. The set of deterministic context-free languages is called DCFL and is identical to the set of languages accepted by a deterministic...
x Star-free language   Aperiodic finite state automaton
A regular language is said to be star-free if it can be described by a regular expression constructed from the letters of the alphabet, the empty set symbol, boolean operators and concatenation but no Kleene star. For instance, the language of words...
x Mildly context-sensitive language   Embedded pushdown automaton
In formal grammar theory, mildly context-sensitive languages are a class of formal languages which can be efficiently parsed, but still possess enough context sensitivity to allow the parsing of natural languages. The concept was first introduced by...
x Indexed language   Nested stack automaton
Indexed languages are a class of formal languages discovered by Alfred Aho; they are described by indexed grammars and can be recognized by nested stack automatons. . Indexed languages are a proper subset of context-sensitive languages and a proper...
x Context-sensitive language   Linear bounded automaton
In theoretical computer science, a context-sensitive language is a formal language that can be defined by a context-sensitive grammar. That is one of the four types of grammars in the Chomsky hierarchy. Of the four, this is the least often used, in...
x Recursive language   Decider
A recursive language in mathematics, logic and computer science is a type of formal language which is also called decidable or Turing-decidable. The class of all recursive languages is often called R, although this name is also used for the class RP...
x Omega-regular language   Büchi automaton
The omega-regular languages are a class of omega languages which generalize the definition of regular languages to infinite words. An omega-language L is omega-regular if it has the form Every omega-regular language is accepted by a nondeterministic...