Fault-tolerance is a critical issue for biochemical computation. Recent theoretical work on algorithmic self-assembly has shown that error correcting tile sets are possible, and that they can achieve exponential decrease in error rates with a small increase in the number of tile types and the scale of the construction [24,4]. Following [17], we consider the issue of applying similar schemes to achieve error correction without any increase in the scale of the assembled pattern. Using a new proofreading transformation, we show that compact proofreading can be performed for some patterns with a modest increase in the number of tile types. Other patterns appear to require an exponential number of tile types. A simple property of existing proofreading schemes - a strong kind of redundancy - is the culprit, suggesting that if general purpose compact proofreading schemes are to be found, this type of redundancy must be avoided. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Soloveichik, D., & Winfree, E. (2006). Complexity of compact proofreading for self-assembled patterns. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3892 LNCS, pp. 305–324). https://doi.org/10.1007/11753681_24
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