How to log input and output in a shell

[Daniel Huber]

How can I log any input or output from a shell into a file?

I tried 

sh | tee foo

but I just got the output in this file.

I would like to have ANY input and ANY output logged in the file
"foo". Even the prompt...
And it should be possible to log a vi session too.

"WYSIWYG" explaines what I would like to have. Just everything what
appears on the screen should appear in the file too.

Anybody could give me a hint?

Daniel

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