Input boards like this:
(def board [[:s :s :s :s :s] [:s :s :b :b :s] [:s :b :w :w :b] [:s :b :w :w :b] [:s :s :b :b :s]])
To test if a piece at a given index is alive, write e.g.
(alive? [3 3] board)
(dead? [3 3] board)
You can count all the "paths to life" by running
(alive-all [1 3] board)
To make (and nicely format) the first two 6X6 boards for which black is dead at [3 3], put:
(format-boards (make-boards 2 [6 6] :b dead [3 3]))
Take a look at the code for alive or dead to see core.logic in action.
Generating large boards does not work. Since you cannot create a function with more than 256 arguments, you cannot generate a board with more than 256 variables.