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properties of regular languages
DFA minimization
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Francisca Portugal
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DFA MINIMIZATION
It is possible to find a minimum representation in terms of the number of states for a given language
Use the
table-felling
algorithm to nd all the pairs of equivalent states
Partition the set of states into
groups
of equivalent states (the state equivalence is
transitive
)
Consider each group a state and modify accordingly
The
start
state is the block containing the original start state
The set of
accepting
states is the set of blocks containing accepting states from the original automaton
EXAMPLE