Work-sensitive Dynamic Complexity of Formal Languages
Logic in Computer Science
2021-01-22 v1 Computational Complexity
Data Structures and Algorithms
Abstract
Which amount of parallel resources is needed for updating a query result after changing an input? In this work we study the amount of work required for dynamically answering membership and range queries for formal languages in parallel constant time with polynomially many processors. As a prerequisite, we propose a framework for specifying dynamic, parallel, constant-time programs that require small amounts of work. This framework is based on the dynamic descriptive complexity framework by Patnaik and Immerman.
Cite
@article{arxiv.2101.08735,
title = {Work-sensitive Dynamic Complexity of Formal Languages},
author = {Jonas Schmidt and Thomas Schwentick and Till Tantau and Nils Vortmeier and Thomas Zeume},
journal= {arXiv preprint arXiv:2101.08735},
year = {2021}
}