Since DFAs are obviously a special case of 2DFAs, this implies that both machines recognize precisely the set of regular languages.
42.
DFAs recognize exactly the set of regular languages, which are, among other things, useful for doing lexical analysis and pattern matching.
43.
By the fall of 1996, they had made so much progress with English that they were merging into regular language classes.
44.
The concept arose in the 1950s when the American mathematician Stephen Cole Kleene formalized the description of a " regular language ".
45.
We know, therefore, that this language cannot be accepted correctly by any finite state machine, and is thus not a regular language.
46.
In the Chomsky hierarchy, regular languages are defined to be the languages that are generated by Type-3 grammars ( regular grammars ).
47.
Each of the cone operations ( homomorphism, inverse homomorphism, intersection with a regular language ) can be implemented using a finite state transducer.
48.
This is known as the induction of regular languages, and is part of the general problem of grammar induction in computational learning theory.
49.
The languages accepted by QFAs are not the regular languages of deterministic finite automata, nor are they the stochastic languages of probabilistic finite automata.
50.
Analyzing all the possible combinations of morphemes and phonological contexts in Tlingit and constructing a regular language to describe them is a daunting but tractable task.
