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The helping hierarchy

Patrizio CintioliRiccardo Silvestri — 2001

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Schöning [14] introduced a notion of helping and suggested the study of the class P help ( 𝒞 ) of the languages that can be helped by oracles in a given class 𝒞 . Later, Ko [12], in order to study the connections between helping and “witness searching”, introduced the notion of self-helping for languages. We extend this notion to classes of languages and show that there exists a self-helping class that we call SH which contains all the self-helping classes. We introduce the Helping hierarchy whose levels are...

The Helping Hierarchy

Patrizio CintioliRiccardo Silvestri — 2010

RAIRO - Theoretical Informatics and Applications

Schöning [14] introduced a notion of helping and suggested the study of the class P help ( 𝒞 ) of the languages that can be helped by oracles in a given class 𝒞 . Later, Ko [12], in order to study the connections between helping and "witness searching" , introduced the notion of self-helping for languages. We extend this notion to classes of languages and show that there exists a self-helping class that we call SH which contains all the self-helping classes. We introduce the Helping hierarchy whose levels...

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