The Compilation of Reversible Circuits and a New Optimization Game
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Date
2016-09-28
Authors
Parent, Alex
Journal Title
Journal ISSN
Volume Title
Publisher
University of Waterloo
Abstract
The focus of this thesis is reversible circuit compilation.
We will explore the use of pebble games for circuit analysis. The usefulness of this
technique is demonstrated by finding a new space bound for the Karatsuba algorithm and
more generally for any similar algorithm based on recurrence relations. A new pebble game
based on the reversible pebble game which better captures the use of in-place operations is
also presented. We also construct circuit to compute trigonometric functions based on the
CORDIC algorithm and analyze it using this game.
Description
Keywords
Pebble Games, Reversible Circuits