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Let S --> aA | Bb C --> a B--> b, A --> aBAD | SBBb
a. Describe which nonterminals are useless?
b. Write down the algorithm for finding useless/productive nonterminals
c. Describe how this gives you the algorithm for whether language generated by grammar is empty.
Use any algorithm we without writing out details of algorithm. In proving problem NP-complete, you may utilize NP completeness of any of the problems.
Describe the difference between a Deterministic Finite Automata and Non-Deterministic Finite Automata. In general, which one is expected to have less number of states ?
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.
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.
Write down a structural induction principle for the PlayTree free type
What does the term solvable mean to you? What does it mean to say that "you solved a problem"? Determine examples of problems for which you believe there are no solutions.
Dynamic programming algorithm to compute a shortest superstring.
Prove that L is not regular. (Be particularly careful if you use the Pumping Theorem. You must choose a w that is actually in L.)
Write down the grammar for language comprising of strings which have n copies of letter a followed by same number of copies of letter b, where n > 0.
Write implememnt finite state machine which recognzes input string according to following rules. First character should be either letter(upper or lower case.)
In this problem, we consider a very restricted subset of Boolean expressions. Define an operator to be one of the four symbols: ¬, ∧, ∨, and →. Define a variable to be one of the five symbols
Express the given correctness properties in LTL. Defne propositions/variables to model the events mentioned in the question. If a parent process calls the blocking waitpid() system call then it is blocked until child process terminates.
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