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Complexity issues for the iterated h-preorders Full article

Journal Computability
ISSN: 2211-3568 , E-ISSN: 2211-3576
Output data Year: 2025, DOI: 10.1177/22113568251335491
Tags preorder, labeled forest, iterated h-preorder, structure, polynomial-time presentation
Authors Alaev P. 1 , Selivanov V. 2
Affiliations
1 S.L. Sobolev Institute of Mathematics
2 St. Petersburg State University

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0011

Abstract: We show that natural structures related to the so called homomorphism preorder (or h-preorder) on the iterated labeled forests have isomorphic copies computable in polynomial time. Moreover, the polynomials in the upper bounds are of low degree which makes the computational content of the whole theory feasible. We discuss possible applications of these results to relevant questions of automata and computability theory.
Cite: Alaev P. , Selivanov V.
Complexity issues for the iterated h-preorders
Computability. 2025. DOI: 10.1177/22113568251335491 WOS
Dates:
Submitted: Nov 8, 2023
Accepted: Jan 29, 2025
Identifiers:
Web of science: WOS:001645773100001
Citing: Пока нет цитирований
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