Wow, I'm gone for 2 days and there's like ten new pages...
Ok I'll toss in another 2 cents.
Batman trained body and mind depending on who we're going by here 10-20 years. Wolverines been alive and trained since what - the mid-nineteenth century?
Here's what I think people may be missing. Batman is obsessed. When he went and trained for those however many years training was the only thing he was focused on. Likewise even since the "end" of his training he's obsessed with fighting crime and improving himself to be able to fight it better.
Wolverine on the other hand - until recently was an amnesiac with bits of memories from a dozen different lives. Now that he remembers everything how much of those lives could be training. This guy wasn't obsessed (he was military for a portion of that century, but not the whole thing). Wolverine actually lived during his long life. He had a life outside of fighting.
Add those two things together and the combined fighting experience of the two is probably a lot closer to even.
so advantages -
experience - even or close to it
strength - toss-up, without powers wolverine would still be damn tough, I mean, he's almost as wide as he is tall and it's all muscle.
speed - Batman, not by enough to matter though
Smarts - Batman by a mile
endurance - wolverine. Even without his healing he's used to the pain
reach - Batman
Angle - Wolverine
Will - Batman, like I said, he's obsessed.
Batman wins 7/10. I think the most important things in a fight are Will and smarts. Then quickness and then the other stuff. Real close match, but Bats has the edge in the important categories.