Resource-bounded continuity and sequentiality for type-two functionals

SR Buss, BM Kapron - ACM Transactions on Computational Logic …, 2002 - dl.acm.org
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.

Resource-bounded continuity and sequentiality for type-two functionals

SR Buss, BM Kapron - … Annual IEEE Symposium on Logic in …, 2000 - ieeexplore.ieee.org
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.
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