Computational Complexity of Space-Bounded Real Numbers

Autor:	Nakanishi, Masaki, Villagra, Marcos
Rok vydání:	2018
Předmět:	Computer Science - Computational Complexity
Druh dokumentu:	Working Paper
Popis:	In this work we study the space complexity of computable real numbers represented by fast convergent Cauchy sequences. We show the existence of families of trascendental numbers which are logspace computable, as opposed to algebraic irrational numbers which seem to required linear space. We characterized the complexity of space-bounded real numbers by quantifying the space complexities of tally sets. The latter result introduces a technique to prove the space complexity of real numbers by studying its corresponding tally sets, which is arguably a more natural approach. Results of this work present a new approach to study real numbers whose transcendence is unknown. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.02572 Zobrazit plný text záznamu View this record from Arxiv