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15 th Annual IEEE Symposium on Logic in Computer Science (LICS'00)
Resource-Bounded Continuity and Sequentiality for Type-Two Functionals
Santa Barbara, California
June 26-June 29
ISBN: 0-7695-0725-5
Samuel R. Buss, University of California at San Diego
Bruce Kapron, University of Victoria
We define notions of resource-bounded continuity and sequentiality for type-two functionals with total inputs, and prove that in the resource-bounded model there are continuous functionals, which cannot be efficiently simulated by sequential functionals. We also show that for some naturally defined classes of continuous functionals, an efficient simulation is possible.
Index Terms:
type-two functionals, continuity, sequentiality, higher-type complexity
Citation:
Samuel R. Buss, Bruce Kapron, "Resource-Bounded Continuity and Sequentiality for Type-Two Functionals," lics, pp.77, 15 th Annual IEEE Symposium on Logic in Computer Science (LICS'00), 2000
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