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Re: [computer-go] citation




Ladder reading is so trivial it can be done in linear-time. Give me a break.
It's not the reading but deciding whether a ladder works which is a PSPACE-complete
problem (see abstract below).

-Floris

Ladders Are PSPACE-Complete

Marcel Crâsmaru A1 and John Tromp A2

A1 Department of Mathematical and Computing Science, Tokyo Institute of Technology, 2-12-1 Oo-okayama, Meguro-ku, Tokyo, Japan, 152, marcel@xxxxxxxxxxxxxxxxx
A2 CWI Kruislaan 413, 1098 SJ Amsterdam, The Netherlands tromp@xxxxxxxxxxxxxxxxx

Abstract:

In the game of Go, the question of whether a ladder-a method of capturing stones-works, is shown to be PSPACE-complete. Our reduction closely follows that of Lichtenstein and Sipser [2], who first showed PSPACE-hardness of Go by letting the outcome of a game depend on the capture of a large group of stones. A greater simplicity is achieved by avoiding the need for pipes and crossovers.

In: Computers and Games: Second International Conference, CG 2001, Hamamatsu, Japan, October 26-28, 2000.

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