In Figs. 1.12 and 1.13 we used character sets on transitions as shorthands for sets of transitions, each with one character. We can, instead, extend the definition of NFAs and DFAs such that such...


In Figs. 1.12 and 1.13 we used character sets on transitions as shorthands for sets of transitions, each with one character. We can, instead, extend the


definition of NFAs and DFAs such that such character sets are allowed on a single


transition.


For a DFA (to be deterministic), we must require that transitions out of the same


state have disjoint character sets.


a) Sketch how Algorithm 1.3 must be modified to handle transitions with sets in


such a way that the disjointedness requirement for DFAs are ensured.


b) Sketch how Algorithm 1.4 must be modified to handle character sets. A new


requirement for DFA minimality is that the number of transitions as well as the


number of states is minimal. How can this be ensured?



May 26, 2022
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