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Give DFA's accepting the following languages over the alphabet {0,1}. The set of all strings that, when interpreted as a binary integer, is a multiple of 5. For example, strings 101,1010, and 1111 are in the language; 0,100,and 111 are not. Construct the DFA for that problem! Explain your answer in detail.
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.
Write some examples of declarative knowledge. Write some examples of procedural knowledge. Then, compare examples, highlighting the similarities & differences.
Write down a structural induction principle for the PlayTree free type
Create a finite-state machine design to turn your FPGA development board into a simple programmable music box.
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.)
Design Turing machine (using Sipser notation) having at least 4 nontrivial (i.e., nonrejecting) states and at least six nontrivial (i.e., not to the rejecting state) transitions.
Redundant sequence identi cation
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.
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
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.
How many equivalence classes does this relation have and what are they? Use these equivalence classes to construct the minimal DFA for the language.
Consider the language L = L1 ∩ L2, where L1 = {ww^R : w ∈ {a, b}* and L2 = {a^n b*a^n: n ≥ 0}. Write the first four strings in the lexicographic enumeration of L?
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