I have a 3 year old indoor cat who I recently introduced to my GSP puppy. The cat was inquisitive at first and then a bit cautious, because he figured out that if he chased her she'd run. So far we've had no luck stopping the chasing - we do stop him, but it usually involves grabbing his collar. He doesn't hurt her - although once he pounced and landed on her, scratching her head accidently. She never fights back, just hits him without claws and hisses.
The weird thing is that he only chases her inside. On the rare occasion that she comes in the backyard he walks really slowly and stands over the top of her (he peed on her once), sometimes trying to pin her down, sometimes licking and sniffing her head. She just stands there eating the grass and ignoring him unless he gets rough. This is obviously him trying to be dominant - should i stop him even though the cat doesn't seem to care? They tolerate each other when they're tired - they're sleeping almost next to each other on the lounge right now...