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Consider the task of verifying that a serial binary communication channel is operating correctly when all blocks of 0's are of even length, and all blocks of 1 are of odd length.
Design a Mealy Machine that produces an output of 1 whenever a discrepancy in the above pattern is detected, and produces an output of 0 otherwise.
(a) Define the Mealy Machine as a 6-tuple (Q,Σ,?,δ,ε,q0-where q is a non-empty set of states,Σ is the input alphabet, ? is the output alphabet,δ:QxΣ→Q,and ε: QxΣ→?)and define each component of the tuple.(b) Give the states meaningful names.(c) Show the transition functions as a diagram and as tables.(d) Explain how the machine works.(e) Give some examples to show that it works as specified.
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.
Consider the following grammar: S S (S) | ε. Construct and DFA or LR(0) items for this grammar. Construct SLR(1) parsing table.
We showed to prove that if L can be identified by DFA then the language left half(L) = {x ∈ ∑*|∃y xy ∈ L and |x| = |y|} is also regular; here |x| means length of x.
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.
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
Write down a structural induction principle for the PlayTree free type
Write some examples of declarative knowledge. Write some examples of procedural knowledge. Then, compare examples, highlighting the similarities & differences.
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?
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.
Write a grammar for the language consisting of strings that have n copies of the letter a followed by same number of copies of the letter b, where n>0
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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