With the help of the denizens of comp.lang.apl, I've made some changes in my code to be more APL-like. I also fixed a bug in the 'wins' function.

I've spliced together some screenshots from VIM.

APL Tic Tac Toe Version 1 Page 0

APL Tic Tac Toe Version 1 Page 1

APL Tic Tac Toe Version 1 Page 2

APL Tic Tac Toe Version 1 Page 3

APL Tic Tac Toe Version 1 Page 4