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On Sharing, Memoization, and Polynomial Time

Martin Avanzini 1, 2, 3 Ugo Dal Lago 2, 3 
2 FOCUS - Foundations of Component-based Ubiquitous Systems
CRISAM - Inria Sophia Antipolis - Méditerranée , DISI - Dipartimento di Informatica - Scienza e Ingegneria [Bologna]
Abstract : We study how the adoption of an evaluation mechanism with sharing and memoization impacts the class of functions which can be computed in polynomial time. We first show how a natural cost model in which lookup for an already computed result has no cost is indeed invariant. As a corollary, we then prove that the most general notion of ramified recurrence is sound for polynomial time, this way settling an open problem in implicit computational complexity.
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Submitted on : Thursday, December 3, 2015 - 10:14:42 AM
Last modification on : Wednesday, February 2, 2022 - 3:56:15 PM
Long-term archiving on: : Friday, April 28, 2017 - 6:46:28 PM


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Martin Avanzini, Ugo Dal Lago. On Sharing, Memoization, and Polynomial Time. Proceedings of STACS 2015, 2015, Munich, Germany. ⟨10.4230/LIPIcs.STACS.2015.62⟩. ⟨hal-01231816⟩



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