Question: Problem regarding logarithmic space a . Statement: A log space transducer can output a string of length n 3 on input string of length n

Problem regarding logarithmic space

.

Statement: A log space transducer can output a string of length n

3

on input string of length n

.

Is the statement true?

.

Statement: If A in NL and B in NL

,

where A

,

=, \

Sigma

then A

< =

P B

.

Is the statement true?

.

Let A and B be languages. The class coNL consists of the complements of the languages in NL

.

A language A is coNL

-

complete if it is in coNL and each language in coNL is log space reducible to A

.

Statement: If A

< =

L B then A

< =

P B

.

Is the statement true?

Statement: If A

< =

L B and B in NL then A in NL

.

Is the statement true?

Statement: If A is NL

-

complete then A is coNL

-

complete.

Is the statement true?

Statement: If A in NL and A

< =

L B then B in NL

.

Is the statement true?

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