An Introduction to the Theory of Automata: Course Held at by Fabrizio Luccio

By Fabrizio Luccio

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Med as: I I and/e 1 (25 ') generous/ /generoso great/ /grande In automaton (25)-(25') states "conjunction" and 11 terminator" are clearly compatible. Consequently, "adjective 1" and "adjective 2" arealso compatible (proposition 7), and the compatibility classes of states are: {sentence}, {acephalous sentence {adjective 1, adjective z}' t}, {acephalous sentence 2} , {conjunction, terminator} ,{end}. Then, the following minimum state translator can be constructed (with obvious associations between -classes of (25)-(25 1 ) and states of (26): 6.

Such elements are usually indicated by dashes (then, the symbol "-" should be inserted in Y ), and must be considered as existing in any respect. 6. Inclusion. As already illustrated, the notion of equivalence is the key for comparison of the external behavior of complete automata, and ultimately for the minimization of a given complete automaton. However, if incompleteness is considered, it is not graph, indicating all the incorrect input alternatives from such a node, ( ~W<) 1\1\ The definition of applicable input sequence used here differs from the classical one.

6] F. Luccio. Reduction of the number of columns in flow table minimization. IEEE Transaction on Electronic Computers, Vol. ~-15, October 1966, 803-805. [7] F. Luccio. Extending the definition of prime compatibility classes of states in incomplete sequential machine reduction. IEEE Transactions on Computers, Vol. C-18, June 1969, 537-540. Ginsburg. An introduction to mathematical machine theory. Addison Wesley, Reading, 1962. A. Arbib. Brains, machines and mathematics. McGraw Hill, New York, 1964.

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