A Protocol for Serializing Unique Strategies

Abstract. We devise an efficient protocol by which a series of twoperson games Gi with unique winning strategies can be combined into a single game G with unique winning strategy, even when the result of G is a non-monotone function of the results of the Gi that is unknown to the players. In computational complexity terms, we show that the class UAP of Niedermeier and Rossmanith [NR98] of languages accepted by unambiguous polynomial-time alternating TMs is self-low, i.e., UAPUAP = UAP. It follows that UAP contains the Graph Isomorphism problem, nominally improving the problem’s classification into SPP by Arvind and Kurur [AK02] since UAP is a subclass of SPP [NR98]. We give some other applications, oracle separations, and results on problems related to unique-alternation formulas.

• Type: Conference
• Year: 2004
• Where: MFCS
• Authors: Marcel Crâsmaru, Christian Glaßer, Kenneth W. Regan, Samik Sengupta
• Keywords: Class Uap, MFCS 2004, Unique Winning Strategies, Unique Winning Strategy