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Template:Formal languages and grammars
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Automata theory
:
formal languages
and
formal grammars
Chomsky
hierarchy
Grammars
Languages
Minimal
automaton
Type-0
Unrestricted
Recursively enumerable
Turing machine
n/a
(no common name)
Recursive
Decider
Type-1
Context-sensitive
Context-sensitive
Linear-bounded
n/a
Indexed
Indexed
Nested stack
n/a
Tree-adjoining
etc.
(
Mildly context-sensitive
)
Embedded pushdown
Type-2
Context-free
Context-free
Nondeterministic pushdown
n/a
Deterministic context-free
Deterministic context-free
Deterministic pushdown
Type-3
Regular
Regular
Finite
n/a
n/a
Star-free
Aperiodic finite
Each category of languages or grammars is a
proper subset
of the category directly above it;
and any automaton in each category has an equivalent automaton in the category directly above it.
Categories
:
Automata theory
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