Complexity of retrograde and helpmate chess problems: Even cooperative chess is hard

We prove PSPACE-completeness of two classic types of Chess problems when generalized to n × n boards. A “retrograde” problem asks whether it is possible for a position to be reached from a natural starting position, i.e., whether the position is “valid” or “legal” or “reachable”. Most real-world ret...

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Bibliographic Details
Main Authors: Brunner, J, Demaine, ED, Hendrickson, D, Wellman, J
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:English
Published: 2022
Online Access:https://hdl.handle.net/1721.1/143960