Automata equipped with auxiliary data structures and regular realizability problems

A Rubtsov, M Vyalyi - Descriptional Complexity of Formal Systems: 23rd …, 2021 - Springer
We consider general computational models: one-way and two-way finite automata, and
logarithmic space Turing machines, all equipped with an auxiliary data structure (ADS). The …

From decidability to undecidability by considering regular sets of instances

P Wolf - Theoretical Computer Science, 2022 - Elsevier
We are lifting classical combinatorial problems from single instances to regular sets of
instances. The task of finding a positive instance of the combinatorial problem P in a …

On universality of regular realizability problems

A Rubtsov, M Vyalyi - arXiv preprint arXiv:2311.15381, 2023 - arxiv.org
We prove universality of the regular realizability problems for several classes of filters. The
filters are descriptions of finite relations on the set of non-negative integers in the format …