Question 10.7.13: Prove that the class of sets corresponding to regular expres......
Prove that the class of sets corresponding to regular expressions remains the same if we agree to use not only set union but also complementation (and therefore set intersection, since it can be expressed using set union and complement).
Step-by-Step
For the deterministic finite automata the transition from a set to its complement is evident.
Related Answered Questions
Question: 10.2.3
Verified Answer:
The longest prefix-suffix X determines all other p...
Question: 10.2.1
Verified Answer:
A problem arises when the pattern contains repetit...
Question: 10.7.11
Verified Answer:
Assume that the nondeterministic automaton has ver...
Question: 10.7.12
Verified Answer:
In the Floyd algorithm for the shortest path (see ...
Question: 10.7.10
Verified Answer:
The states of the deterministic automaton are sets...
Question: 10.7.9
Verified Answer:
This automaton is constructed inductively, followi...
Question: 10.7.7
Verified Answer:
((a\mid b\mid c \mid d\mid e)\ast a (a\mid...
Question: 10.7.8
Verified Answer:
To prove this, we need the notion of a nondetermin...
Question: 10.7.6
Verified Answer:
((a\mid b\mid c)\ast bac (a \mid b \mid c)...
Question: 10.7.5
Verified Answer:
The expression b∗ defines the set of all strings w...