This is God of War, through and through. The action and puzzle elements are very much true to the original PS2 games - this really is an extension of the God of War universe.
Kratos is all about action, so expect to jam o*n the 5 button regularly to use his brutal attacks. His default weapon, the chain swords (Athena's Blades) whip all around the screen, slicing up enemies, tossing them into the air, and leaving them o*n the floor in a crumpled mess...
You do not have as many combo possibilities in God of War: Betrayal as you did in God of War II, but there are still several combos such as running into an enemy as you unleash the chain swords. Kratos has access to several other choice weapons, such as Medusa's Head, Army of Hades, and the Blade of Artemis. Each o*ne of these weapons or magic attacks have their own strengths against numerous underlings or vicious boss monsters.