Hypergraph rewriting and Causal structure of $\lambda-$calculus
Discrete Mathematics
2024-11-05 v2 Logic in Computer Science
Abstract
In this paper, we first study hypergraph rewriting in categorical terms in an attempt to define the notion of events and develop foundations of causality in graph rewriting. We introduce novel concepts within the framework of double-pushout rewriting in adhesive categories. Secondly, we will study the notion of events in calculus, wherein we construct an algorithm to determine causal relations between events following the evaluation of a expression satisfying certain conditions. Lastly, we attempt to extend this definition to arbitrary expressions.
Keywords
Cite
@article{arxiv.2409.01006,
title = {Hypergraph rewriting and Causal structure of $\lambda-$calculus},
author = {Utkarsh Bajaj},
journal= {arXiv preprint arXiv:2409.01006},
year = {2024}
}
Comments
19 pages, 6 figures Corrected some typos