Skip to main navigation Skip to search Skip to main content

A protocol for serializing unique strategies

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

8 Scopus citations

Abstract

We devise an efficient protocol by which a series of twoperson games G i 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 d that is unknown to the players. In computational complexity terms, we show that the class UAP of Niedermeier and Rossmanith [10] 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 [2] since UAP is a subclass of SPP [10]. We give some other applications, oracle separations, and results on problems related to unique-alternation formulas.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsJirí Fiala, Jan Kratochvíl, Vá clav Koubek
PublisherSpringer Verlag
Pages660-672
Number of pages13
ISBN (Electronic)3540228233, 9783540228233
DOIs
StatePublished - 2004

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3153

Fingerprint

Dive into the research topics of 'A protocol for serializing unique strategies'. Together they form a unique fingerprint.

Cite this