I think you'll find every thing you need in the Debian doc:
http://www.debian.org/doc/manuals/debian-reference/ch02.en.html#_literal_apt_get_literal_literal_apt_cache_literal_vs_literal_aptitude_literal

Quote: The difference between "safe-upgrade"/"upgrade" and "full-upgrade"/"
dist-upgrade" only appears when new versions of packages stand in different
dependency relationships from old versions of those packages. The "aptitude
safe-upgrade" command does not install new packages nor remove installed
packages.

HTH

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