Simply go to the main menu and go to settings, then look at keyboard, all of the controls are listed and you can edit them to your liking
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Half-Life, Half-Life: Blueshift, Half-life: Opposing Force, Half-life: High Definition pack (might not classify as a game), Half-Life: Source, Half-Life 2, Half-Life 2: Episode 1, and Half-Life 2: Episode 2. Eight games total not including countless mods created by fans that you can download for free on moddb.com and fileplanet.com. Other games by Valve software include Left 4 Dead, Left 4 Dead 2, Portal, Portal 2, Counter Strike, Counter Strike: Source, Team Fortress, Team Fortress 2, and Alien Swarm. Another Half-Life game would be Half-Life: Decay. You might also be able to count Half-Life Deathmatch and Half-Life 2 Deathmatch.
Only for the half life 2 version of garry's mod.
Gordon Freeman
No it is not. It requires one of the games in the half life 2 series such as TF2 portal or half life 2.
By co-op you mean mulitplayer. Yes. Half-Life 2: Deathmatch is only on PC.