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Let  be a 3cnf-formula. An  assignment to the variables of  is one where each clause contains two literals with unequal truth values. In other words an  -assignment satisfies  without assigning three true literals in any clause.
a. Show that the negation of any -assignment to  is also an -assignment.b. Let SAT be the collection of 3cnf-formulas that have an -assignment. Show that we obtain a polynomial time reduction from 3SAT to SAT by replacing each clause cI
(y1 V y2 V y3)
by the two clauses
(y1 V y2 V zI) and ( V y3 V b)
where zI is a new variable for each clause cI and b is a single additional new variable.
c. Conclude that SAT is NP-complete
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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.
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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.
Create a recursive java method maximum that calculate the maximum element of a linked list of integers.The solution must be simplified and should not use class Node or head
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Is the given grammar left or right recursive - describe these in detail because I am having a hard time trying to figure this all out.
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