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Journals ACM SIGACT News Volume 37 Issue 1

The study of semifeasible algorithms was initiated by Selman's work a quarter of century ago Sel79,Sel81,Sel82. Informally put, this research stream studies the power of those sets L for which there is a deterministic (or in some cases, the function may belong to one of various nondeterministic function classes) polynomial-time function f such that when at least one of x and y belongs to L , then f(x, y) ∈ L ∩ {x, y} . The intuition here is that it is saying: "Regarding membership in L , if you put a gun to my head and forced me to bet on one of x or y as belonging to L , my money would be on f(x, y) ."In this article, we present a number of open problems from the theory of semifeasible algorithms. For each we present its background and review what partial results, if any, are known.

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Open questions in the theory of semifeasible computation

Faliszewski, Piotr; Hemaspaandra, Lane
ACM SIGACT News , Volume 37 (1)
Association for Computing Machinery – Mar 1, 2006

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