Chapter 10: Q19P (page 440)
Show that if,then.
Short Answer
Using the algorithm and the construction of satisfying assignment which runs in spolynomial time the above problem is solved.
Chapter 10: Q19P (page 440)
Show that if,then.
Using the algorithm and the construction of satisfying assignment which runs in spolynomial time the above problem is solved.
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Get started for freeProve that for any integer,ifrole="math" localid="1663222073626" isn’tpseudoprime, thenfails the Fermat test for at least half of all numbers in
A Boolean formula is a Boolean Circuit wherein every gate has only one output wire. The same input variable may appear in multiple places of a Boolean Formula. Prove that a language has a polynomial size family of formulas if it is in . Ignore uniformity considerations.
Let A be a regular language over . Show that A has size-depth complexity.
Prove Fermat’s little theorem, which is given in Theorem 10.6. (Hint: Consider the sequence a1, a2, . . . What must happen, and how?)
THEOREM 10.6.
If p is prime and,then.
Prove that if Ais a language in L, a family of branching programsexists wherein each Bnaccepts exactly the strings in A of length nand is bounded in size by a polynomial in n.
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