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Express the following correctness properties in LTL. Defne propositions/variables to model the events mentioned in the question.
(a) If a parent process calls the blocking waitpid() system call then it is blocked until the child process terminates.
(b) If a process P calls down() on a binary semaphore and later process Q calls down() on the same semaphore before P calls up() on it, Q gets blocked until P calls up(), if P ever calls up().
(c) In the Singleton design pattern, an instance of the Singleton class is created at most once irregardless of how many times getInstance() method is called.
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.
Create a finite-state machine design to turn your FPGA development board into a simple programmable music box.
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 ?
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 a program would read two numbers and then print all numbers between the first and the second, inclusive. Design unambiguous grammar to parse expressions
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.
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.
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
Consider the following grammar: S S (S) | ε. Construct and DFA or LR(0) items for this grammar. Construct SLR(1) parsing table.
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.
Design in JFLAP a Truing machine that takes as input a tape containing a series of n 1s, Where n >= 0, terminated by an = sign.
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