Type-two Iteration with Bounded Query Revision

@inproceedings{Kapron2019TypetwoIW,
  title={Type-two Iteration with Bounded Query Revision},
  author={B. M. Kapron and Florian Steinberg},
  booktitle={DICE-FOPARA@ETAPS},
  year={2019}
}
Motivated by recent results of Kapron and Steinberg (LICS 2018) we introduce new forms of iteration on length in the setting of applied lambda-calculi for higher-type poly-time computability. In particular, in a type-two setting, we consider functionals which capture iteration on input length which bound interaction with the type-one input parameter, by restricting to a constant either the number of times the function parameter may return a value of increasing size, or the number of times the… Expand
2 Citations
Type-two polynomial-time and restricted lookahead
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A characterization of BFF2 is given based on an imperative language with oracle calls using a tier-based type system whose inference is decidable, which should make it possible to link higher-order complexity with programming theory. Expand

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