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1. Show that the language {a^n b^m a^n|n greater than or equal to 0} is not regular using the pumping lemma.
2. Show that the language {a^n!|n greater than or equal to 0} is not regular by using the pumping lemma.
3. Show that the language F = {a^i b^j c^k | i, j, k greater than or equal to 0 and if i = 1 then j = k} is not regular. Show, however, that it satisfies the statement of the pumping lemma i.e. there is a p such that all three conditions for the pumping lemma are met. Explain why this does not contradict the pumping lemma.
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).
Write a program would read two numbers and then print all numbers between the first and the second, inclusive. Design unambiguous grammar to parse expressions
Design a syntactic analyzer for the language specified by the grammar
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.
Discuss the impact of Moore's law on data center costs on such things as servers and communications equipment. List at least 3 steps or recommendations your data center can take to offset some or all of the effect of Moore's law.
Create a finite-state machine design to turn your FPGA development board into a simple programmable music box.
Consider a logic function with three outputs, A , B , and C , and three inputs, D , E , and F . The function is defined as follows: A is true if at least one input is true, B is true
Express the following set as a regular expression: The set of all strings of length at least three over {0,1} such that every three consecutive.
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.
Dynamic programming algorithm to compute a shortest superstring.
Write down a structural induction principle for the PlayTree free type
Show that the following identities hold for regular expressions over any alphabet: epsilon + R*R = R*. These should be done by interpreting the regular expressions as languages.
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