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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.
Describe why every nonempty propositional clause, by itself, is satisfiable. Prove rigorously that every set of five 3-SAT clause is satisfiable, given that each clause mentions exactly three distinct variables.
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.
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.
Create a standard 1-tape Turing machine M to calculate the function sub3. Specifically, calculate sub3 of a natural number represented in binary.
I have noticed that there are several languages, is this because no one language has all the main elements needed to be a perfect programming Language?
Write down a structural induction principle for the PlayTree free type
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?
Write implememnt finite state machine which recognzes input string according to following rules. First character should be either letter(upper or lower case.)
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.
Design a syntactic analyzer for the language specified by the grammar
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 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
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