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Questions related to the (computational) complexity of solving problems

0 votes
1 answer
377 views

Variant of offline Turing machine

Let $M$ be a variant of Turing machine with no working tape but with several heads on input word. Prove that these machines accept exactly the languages in $L$. Please hint me how to start.
4 votes
2 answers
829 views

Function that cannot be computed by a Boolean circuit of size $2^n/2n$

Show that, for sufficiently large $n$, there is a function $f\colon\{0,1\}^n \to \{0,1\} $ that cannot be computed by a Boolean circuit with fan-in $2$ with $\frac{2^n}{2n}$ gates. Please give me a hi …