Pedro: Thanks for that list of possibilities for "logging out". With only those two words to go by I would expect to be answering number 4, "What is he doing?" and it is a strong expectation. I suspect that you are using other cues/knowledge to make you interpret the phrase in a past tense.

But what I want is for the language to be answering a different question:
7. What did he do?
"Logged out"
Logging out is an instantaneous thing so continuous tenses don't apply.

But in the case of "browsing the main page" I'd prefer it to depend on the time. If it was yesterday or ten hours ago or one hour ago or ... [some arbitrary but reasonable limit], it would be "browsed the main page", or "played Bg vs Someone", and the ing form would be used for the recent past/present.