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SIAM Journal on Computing
Article . 2024 . Peer-reviewed
Data sources: Crossref
http://dx.doi.org/10.1145/3519...
Part of book or chapter of book . 2022
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Circuits resilient to short-circuit errors

Authors: Klim Efremenko; Bernhard Haeupler; Yael Tauman Kalai; Pritish Kamath; Gillat Kol; Nicolas Resch; Raghuvansh R. Saxena;

Circuits resilient to short-circuit errors

Abstract

Given a Boolean circuit C, we wish to convert it to a circuit C′ that computes the same function as C even if some of its gates suffer from adversarial short circuit errors, i.e., their output is replaced by the value of one of their inputs. Can we design such a resilient circuit C′ whose size is roughly comparable to that of C? Prior work gave a positive answer for the special case where C is a formula. We study the general case and show that any Boolean circuit C of size s can be converted to a new circuit C′ of quasi-polynomial size sO(logs) that computes the same function as C even if a 1/51 fraction of the gates on any root-to-leaf path in C′ are short circuited. Moreover, if the original circuit C is a formula, the resilient circuit C′ is of near-linear size s1+є. The construction of our resilient circuits utilizes the connection between circuits and DAG-like communication protocols, originally introduced in the context of proof complexity.

Countries
Netherlands, United States
Keywords

004

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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