arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~

双向机的非递归权衡

Non-recursive trade-offs for two-way machines

Christos Kapoutsis

arXiv 2610.11969首次发表:更新:

发表机构

Computer Science and Artificial Intelligence Laboratory Massachusetts Institute of Technology(麻省理工学院计算机科学与人工智能实验室)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究针对两类机器A和B,证明当A类机器满足特定资源条件时,不存在递归函数可界定A类替换为等价B类机器的描述大小增量。

AI 中文摘要

若某类A机器拥有足够资源,可满足:(i)解决B类机器无法解决的问题;(ii)模拟任何可访问线性有界计数器的一元双向确定型有限自动机,则通常不存在递归函数可对A类机器替换为等价B类机器时描述大小的增量给出上界。

英文摘要

If the machines of some type A have enough resources to (i) solve problems that no machine of type B can solve, and (ii) simulate any unary two-way deterministic finite automaton that has access to a linearly-bounded counter, then typically no recursive function can upper bound the increase in the size of description when a machine of type A is replaced by an equivalent machine of type B.

CommentsInternational Journal of Foundations of Computer Science, 16:943-956, 2005. Number of pages: 14. Number of figures: 0

论文原文

arXiv 摘要页 · PDF 原文 · HTML 原文

↑