# 2FAto1FA - Simulating 2 FSA's with 1 FSA Purpose This...

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Simulating 2 FSA’s with 1 FSA

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Purpose This presentation presents an example execution of the algorithm which takes as input two FSA’s and produces as output an FSA which “simulates” both input FSA’s on any input string Algorithm Specification – Input: FSA’s M 1 and M 2 – Output: FSA M 3
The two input FSA’s a b a a a,b a a b b a,b I III II A B C D M 1 M 2

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Initialization a b a a a,b a a b b a,b a b I,A The initial state of the output FSA M 3 is the ordered pair of the initial states of M 1 and M 2 . I III II A B C D
Expand State I,A a b a a a,b a a b b a,b a b I , A I , C II , B I III II A B C D

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Add New States a b a a a,b a a b b a,b a b I,A I,C II,B I,C II,B I III II A B C D
Expand State I,C a b a a a,b a a b b a,b a b I,A I,C II,B I , C I , B II , D II,B I III II A B C D

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Add New States a b a a a,b a a b b a,b a b I,A I,C II,B I,C I,B II,D II,B I,B II,D I III II A B C D
Expand State II,B a b a a a,b a a b b a,b a b I,A I,C II,B I,C I,B II,D II , B II , B III , B I,B II,D I III II A B C D

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2FAto1FA - Simulating 2 FSA's with 1 FSA Purpose This...

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