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  On the computational complexity of Longley's H functional, presented at ICC'00 (2000) [5 citations — 2 self]

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by James S. Royer
ftp://ftp.cis.syr.edu/users/royer/lh.ps
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Abstract:

Longley [Lon98b] discovered a functional H that, when added to PCF, yields a language that computes exactly SR, the sequentially realizable functionals of van Oosten [vO99]. We show that if P NP, then the computational complexity of H (and of similar SR-functionals) is inherently infeasible.

Citations

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90 Theory of Recursive Functions and Eective Computability – Rogers - 1967
79 Functional interpretations of feasible constructive arithmetic – Cook, Urquhart - 1993
61 Computability and Complexity: From a Programming Perspective – Jones - 1997
37 The sequentially realizable functionals – Longley
16 On characterizations of the basic feasible functional – Irwin, Kapron, et al.
16 Subrecursive programming systems – Royer, Case - 1994
12 When is a Functional Program not a Functional Program – Longley - 1999
10 Oosten, A combinatory algebra for sequential functionals of finite type, Models and Computability – van - 1999
9 Strong reducibilities – Odifreddi - 1981
2 Realizability models for sequential computation, draft of a paper based on a talk given at – Longley - 1998