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381hw4solns

381hw4solns - Solution for Problem 1 on Assignment 4 11 12...

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Unformatted text preview: Solution for Problem 1 on Assignment 4 11 12 13 21 22 23 31 32 33 1 1 1 R R R R R R R R R ε ε ε = = = = = + = Φ = = = ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) * 1 11 * 1 12 * 1 13 * 1 21 * 1 22 * 1 23 * 1 31 * 1 32 * 1 33 1 1 1 1 1 1 0 1 0 10 1 1 11 0 0 1 0 0 1 00 1 01 R R R R R R R R R ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε = + = = + = = + = = + = = + + = + + = Φ + = = + = = + = + = + = + ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( ) ( )( ) ( ) ( ) ( )( ) ( ) ( )( ) * * 2 11 * * 2 12 * * 2 13 * * 2 21 * * 2 22 * * 2 23 * 2 31 0 10 1 0 0 10 1 0 0 0 10 0 10 0 0 0 10 1 0 0 10 11 1 0 0 10 11 1 0 10 0 10 1 1 0 10 1 0 10 0 10 0 10 0 10 0 10 11 0 10 0 10 11 0 10 11 1 00 0 10 R R R R R R R ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε = + + + = + + = + + + + + = + + = + + + = + + = + + + + + = + + = + + + + + + + + + = + = + + + + + = + = + + + + ( )( ) ( )( ) ( ) ( )( ) ( )( ) ( )( ) * * * 2 32 * * 2 33 1 1 00 0 10 1 1 00 1 00 0 10 0 10 1 00 0 10 01 1 00 0 10 11 01 1 00 0 10 11 R R ε ε ε ε ε = + + + = + + + + + + + = + + = + + + + + = + + + + The regular expression describing the strings accepted is ( ) ( ) ( )( ) ( )( ) ( ) * * * * * 3 13 1 0 0 10 11 1 0 0 10 11...
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381hw4solns - Solution for Problem 1 on Assignment 4 11 12...

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