A generic imperative language for polynomial time

November 11, 2019 ยท The Ethereal ยท ๐Ÿ› arXiv.org

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Daniel Leivant arXiv ID 1911.04026 Category cs.LO: Logic in CS Cross-listed cs.CC, cs.PL, math.LO Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
The ramification method in Implicit Computational Complexity has been associated with functional programming, but adapting it to generic imperative programming is highly desirable, given the wider algorithmic applicability of imperative programming. We introduce a new approach to ramification which, among other benefits, adapts readily to fully general imperative programming. The novelty is in ramifying finite second-order objects, namely finite structures, rather than ramifying elements of free algebras. In so doing we bridge between Implicit Complexity's type theoretic characterizations of feasibility, and the data-flow approach of Static Analysis.
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