Fifteenth Annual IEEE Symposium on

Logic in Computer Science (LICS 2000)

Paper: Resource-Bounded Continuity and Sequentiality for Type-Two Functionals (at LICS 2000)

Authors: Samuel R. Buss Bruce Kapron


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.


    author = 	 {Samuel R. Buss and Bruce Kapron},
    title = 	 {Resource-Bounded Continuity and Sequentiality for Type-Two Functionals},
    booktitle =  {Proceedings of the Fifteenth Annual IEEE Symp. on Logic in Computer Science, {LICS} 2000},
    year =	 2000,
    editor =	 {Martin Abadi},
    month =	 {June}, 
    pages =      {77--83},
    location =   {Santa Barbara, CA, USA}, 
    publisher =	 {IEEE Computer Society Press}