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Sep 2, 2016 at 13:18 comment added Alberto (Part 2) Now I have trouble relating the formal definition of parity accepting condition with the intuitive idea of "the existential player can always propose a new witness element and the universal player can test all witnesses without finding a contradiction”.
Sep 2, 2016 at 13:17 comment added Alberto (Part 1) Thank you for the answer. I would also like to have an intuitive reading of the accepting condition. If I understand correctly: - a move for the existential player means going down one node (i.e. type) in the tree (i.e. tableau). That in turn means “exhibiting a witness” for an existential formula. - a move for the universal player means staying on the same node but changing state. That in turn means “testing an already proposed witness” on an universal formula.
Sep 2, 2016 at 10:47 history answered Szymon Toruńczyk CC BY-SA 3.0