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The forerunner of this book appeared under the title Formal Languages and Their Relation to Automata in 1968. Forming a basis both for the creation of courses on the topic, as well as for further research, that book shaped the field of automata theory for over a decade, cf. (Hopcroft 1989).
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The origin of the name is unknown; Aho, Hopcroft & Ullman (1974) explain: The second method, often called the "Four Russians'" algorithm, after the cardinality and nationality of its inventors, is somewhat more "practical" than the algorithm in Theorem 6.9. [3] All four authors worked in Moscow, Russia in the Soviet Union at the time. [4]
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In contemporary publications following Hopcroft and Ullman (1979), [2] an indexed grammar is formally defined a 5-tuple G = N,T,F,P,S where N is a set of variables or nonterminal symbols, T is a set ("alphabet") of terminal symbols, F is a set of so-called index symbols, or indices, S ∈ N is the start symbol, and; P is a finite set of ...
The state of a deterministic finite automaton = (,,,,) is unreachable if no string in exists for which = (,).In this definition, is the set of states, is the set of input symbols, is the transition function (mapping a state and an input symbol to a set of states), is its extension to strings (also known as extended transition function), is the initial state, and is the set of accepting (also ...
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