About using and customizing the front-end's auto-completion feature

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Is it possible to improve Mathematica's auto-completion feature?

In this answer Brett Champion describes how one can intercept and modify the suggestions used for auto-completion. Question: Is it possible to modify the suggestion for the automatic auto-completion ...
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How can I overload autocompletion to work with full contexts?

I would like for the autocomplete feature to search through contexts, for example if I have a symbol named A`B`C`MyFunction, when I type A` and press "cmd + shift + k" it will complete it. Edit To ...
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Template completion

In version 8, if one evaluates test::usage="test[x,y]"; then types test, then shift-cmd-k (or shift-ctrl-k), a template ...
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Command Completion

Note: As of version 9, this functionality is available and works out of the box. I've a few questions about Command Completion in Mathematica. I recently discovered this feature, and it's really ...