Logic in Computer Science, Symposium on (2000)
Santa Barbara, California
June 26, 2000 to June 29, 2000
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.
type-two functionals, continuity, sequentiality, higher-type complexity
B. Kapron and S. R. Buss, "Resource-Bounded Continuity and Sequentiality for Type-Two Functionals," Logic in Computer Science, Symposium on(LICS), Santa Barbara, California, 2000, pp. 77.