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The Undecidability of the Infinite Ribbon Problem: Implications for Computing by Self-Assembly

✍ Scribed by Adleman, Leonard; Kari, Jarkko; Kari, Lila; Reishus, Dustin; Sosik, Petr


Book ID
118181044
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
467 KB
Volume
38
Category
Article
ISSN
0097-5397

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We characterize in this paper the epigraph of the value function of a discounted infinite horizon optimal control problem as the viability kernel of an auxiliary differential inclusion. Then the viability kernel algorithm applied to this problem provides the value function of the discretized optimal