Question: Space complexity ( a ) Let f : N - > R + be a function such that f ( n ) > = n

Space complexity
(a) Let f : N -> R+ be a function such that f(n)>= n.
Statement: NSPACE(f(n)) SPACE(f3(n))
Is the statement true?
Circle the answer: yes no
Statement: SPACE(f(n)) NSPACE(f3(n))
Is the statement true?
Circle the answer: yes no
(b) Statement: PSPACE NPSPACE
Is the statement true?
Circle the answer: yes no
Statement: NPSPACE PSPACE
Is the statement true?
Circle the answer: yes no
(c) Consider quantified Boolean formulas in which all the quantifiers occur at thefront and there is no free variable.
A language A is coNP-complete if it is in coNP and each language in coNP is polynomial time reducible to A.
Statement: If all the quantifiers are existential then the problem if the given formula is true is NP-complete.
Is the statement true?
Circle the answer: yes no
Statement: If all the quantifiers are universal then the problem if the given formula is true is coNP-complete.
Is the statement true?
Circle the answer: yes no

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