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Q1) Show that the following identities hold for regular expressions over any alphabet:
1. epsilon + R*R = R* 2. (R*S*) = (R + S)*
These should be done by interpreting the regular expressions as languages (i.e. sets of words) and arguing that the sets are equal. The proofs do not have to be formal proofs by induction; a compelling argument will suffice.
Create a finite-state machine design to turn your FPGA development board into a simple programmable music box.
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Considering a single programmed operating system, what is the minimal total time required to complete executions of the two processes? You should explain your answer with a diagram.
Give a construction that assumes you are given a DFA for L and show how to construct an NFA (with or without ε-moves) to recognize sort(L).
How many equivalence classes does this relation have and what are they? Use these equivalence classes to construct the minimal DFA for the language.
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How the problem would be encountered in attempting to represent the following statements in Predicate logic. it should be possible to: John only likes to see French movies.
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