Eleusis: complexity and interaction in inductive inference

作者: L. Kurzen

DOI:

关键词: Time complexityComputational complexity theoryDecision problemFace (geometry)Inductive reasoningAlgorithmic learning theoryUndecidable problemMathematicsRelevance (information retrieval)Artificial intelligence

摘要: This paper analyzes the computational complexity of inductive inference game Eleusis. Eleusis is a card in which one player constructs secret rule has to be discovered by other players. We determine various decision problems that arise show on hand, many are solvable polynomial time whereas rules allow for can force players face intractable and undecidable problems. Our results plays crucial role taken into account their strategic considerations. As seen as simulation using membership queries, our also have relevance interactive approaches formal learning theory.

参考文章(18)
Yasuhito Mukouchi, Characterization of Finite Identification AII '92 Proceedings of the International Workshop on Analogical and Inductive Inference. pp. 260- 267 ,(1992) , 10.1007/3-540-56004-1_18
Barteld Kooi, Yet another mastermind strategy ICGA Journal. ,vol. 28, pp. 13- 20 ,(2005) , 10.3233/ICG-2005-28105
Nina Gierasimczuk, Learning by Erasing in Dynamic Epistemic Logic Language and Automata Theory and Applications. pp. 362- 373 ,(2009) , 10.1007/978-3-642-00982-2_31
Tom G. Dietterich, Ryszard S. Michalski, Learning to Predict Sequences ,(1985)
Nina Gierasimczuk, Lena Kurzen, Fernando R. Velázquez-Quesada, Learning and teaching as a game: a sabotage approach Lecture Notes in Computer Science. ,vol. 5834, pp. 119- 132 ,(2009) , 10.1007/978-3-642-04893-7_10
Cédric Dégremont, Nina Gierasimczuk, Can doxastic agents learn? on the temporal structure of learning Lecture Notes in Computer Science. ,vol. 5834, pp. 90- 104 ,(2009) , 10.1007/978-3-642-04893-7_8
Dana Angluin, Learning regular sets from queries and counterexamples Information & Computation. ,vol. 75, pp. 87- 106 ,(1987) , 10.1016/0890-5401(87)90052-6
John B. Best, The role of context on strategic actions in Mastermind. Journal of General Psychology. ,vol. 127, pp. 165- 177 ,(2000) , 10.1080/00221300009598576
Rineke Verbrugge, Lisette Mol, Learning to Apply Theory of Mind Journal of Logic, Language and Information. ,vol. 17, pp. 489- 511 ,(2008) , 10.1007/S10849-008-9067-4