LAPSE:2023.24840
Published Article

LAPSE:2023.24840
Parallel Multiset Rewriting Systems with Distorted Rules
March 28, 2023
Abstract
Most of the parallel rewriting systems which model (or which are inspired by) natural/artificial phenomena consider fixed, a priori defined sets of string/multiset rewriting rules whose definitions do not change during the computation. Here we modify this paradigm by defining level-t distorted rules—rules for which during their applications one does not know the exact multiplicities of at most t∈N species of objects in their output (although one knows that such objects will appear at least once in the output upon the execution of this type of rules). Subsequently, we define parallel multiset rewriting systems with t-distorted computations and we study their computational capabilities when level-1 distorted catalytic promoted rules are used. We construct robust systems able to cope with the level-1 distortions and prove the computational universality of the model.
Most of the parallel rewriting systems which model (or which are inspired by) natural/artificial phenomena consider fixed, a priori defined sets of string/multiset rewriting rules whose definitions do not change during the computation. Here we modify this paradigm by defining level-t distorted rules—rules for which during their applications one does not know the exact multiplicities of at most t∈N species of objects in their output (although one knows that such objects will appear at least once in the output upon the execution of this type of rules). Subsequently, we define parallel multiset rewriting systems with t-distorted computations and we study their computational capabilities when level-1 distorted catalytic promoted rules are used. We construct robust systems able to cope with the level-1 distortions and prove the computational universality of the model.
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Keywords
computational universality, distorted computation, multiset rewriting systems, promoters, robust computation
Subject
Suggested Citation
Sburlan C, Sburlan DF. Parallel Multiset Rewriting Systems with Distorted Rules. (2023). LAPSE:2023.24840
Author Affiliations
Sburlan C: Faculty of Mathematics and Informatics, Ovidius University of Constanta, 900527 Constanta, Romania
Sburlan DF: Faculty of Mathematics and Informatics, Ovidius University of Constanta, 900527 Constanta, Romania [ORCID]
Sburlan DF: Faculty of Mathematics and Informatics, Ovidius University of Constanta, 900527 Constanta, Romania [ORCID]
Journal Name
Processes
Volume
9
Issue
2
First Page
347
Year
2021
Publication Date
2021-02-14
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr9020347, Publication Type: Journal Article
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LAPSE:2023.24840
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https://doi.org/10.3390/pr9020347
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[v1] (Original Submission)
Mar 28, 2023
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Mar 28, 2023
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