Linear-space best-first search
Artificial Intelligence
Artificial Intelligence
Search versus knowledge for solving life and death problems in Go
AAAI'05 Proceedings of the 20th national conference on Artificial intelligence - Volume 3
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
A New Proof-Number Calculation Technique for Proof-Number Search
CG '08 Proceedings of the 6th international conference on Computers and Games
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Thomsen's λ search and Nagai's depth-first proof-number (DFPN) search are two powerful but very different AND/OR tree search algorithms. Lambda Depth-First Proof Number search (LDFPN) is a novel algorithm that combines ideas from both algorithms. λ search can dramatically reduce a search space by finding different levels of threat sequences. DFPN employs the notion of proof and disproof numbers to expand nodes expected to be easiest to prove or disprove. The method was shown to be effective for many games. Integrating λ order with proof and disproof numbers enables LDFPN to select moves more effectively, while preserving the efficiency of DFPN. LDFPN has been implemented for capturing problems in Go and is shown to be more efficient than DFPN and more robust than an algorithm based on classical λ search.