6533b852fe1ef96bd12aabd6

RESEARCH PRODUCT

Uncountable realtime probabilistic classes

Maksims DimitrijevsAbuzer Yakaryılmaz

subject

FOS: Computer and information sciencesComputer Science - Computational ComplexityFormal Languages and Automata Theory (cs.FL)Computer Science - Formal Languages and Automata TheoryComputerApplications_COMPUTERSINOTHERSYSTEMSComputational Complexity (cs.CC)

description

We investigate the minimum cases for realtime probabilistic machines that can define uncountably many languages with bounded error. We show that logarithmic space is enough for realtime PTMs on unary languages. On binary case, we follow the same result for double logarithmic space, which is tight. When replacing the worktape with some limited memories, we can follow uncountable results on unary languages for two counters.

https://dx.doi.org/10.48550/arxiv.1705.01773