Developer: Sodium Eyes
Yes, LogiGun features a woman solving a series of increasingly difficult puzzles. Yes, you use a special gun (four, actually) to solve those puzzles. Yes, there's an AI presense that occasionally taunts you. But don't overlook LogiGun because it has some Portal inspirations. LogiGun has its own style and will test your brain with its own gauntlet of varied challenging puzzles.
site or Desura and vote for it on Steam Greenlight.