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Question: Devise a Turing machine with input given in unary notation (i.e., a string of n 1's denotes the integer n, and numbers are delimited by 0's) such that the machine produces the following output:
0 if x is divisible by 4
1 if x is congruent to 1 modulo 4
2 if x is congruent to 2 modulo 4
3 if x is congruent to 3 modulo 4
Demonstrate the state table for the machine.
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
Create a Mealy Machine which produces the output of 1 whenever discrepancy in above pattern is detected, and produces the output of 0 otherwise. Write states meaningful names.
Provide DFA's accepting the following languages over alphabet {0,1}. Set of all strings that, when interpreted as the binary integer, is a multiple of 5.
Consider the following grammar: S S (S) | ε. Construct and DFA or LR(0) items for this grammar. Construct SLR(1) parsing table.
Given monotone instance of Satisfiability, together with number k, problem of Monotone Satisfiability with Few True Variables asks: is there satisfying assignment for instance in which at most k variables are set to 1.
We know by rice's theorem that none of the following problems are decidable. However,are they recursively enumerable,or non-RE? IS L(M) infinite?
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.
A research strategy is a plan of action that gives direction to your efforts enabling you to conduct your research systemically rather than haphazardly.
There are four processes that are going to share nine tape drives. Their current and maximum number of allocation numbers. Is system in a safe state? Explain why or why not?
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.
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 some examples of declarative knowledge. Write some examples of procedural knowledge. Then, compare examples, highlighting the similarities & differences.
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