Non-deterministic, probabilistic, and quantum effects through the lens of event structures (Technical report)
Logic in Computer Science
2025-12-12 v4
Abstract
In this paper, we consider event structures and their probabilistic and quantum extensions as originally defined by Winskel. If these structures have already been part of sophisticated computational models, they have rarely been directly studied as an immediate model of execution traces of programs. This paper offers such an analysis. We propose a simple imperative operational framework and show how to derive soundness and adequacy results with event structures considered as a semantics. We show how event structures naturally handle non-deterministic, probabilistic and quantum effects.
Cite
@article{arxiv.2408.14563,
title = {Non-deterministic, probabilistic, and quantum effects through the lens of event structures (Technical report)},
author = {Vítor Fernandes and Marc de Visme and Benoît Valiron},
journal= {arXiv preprint arXiv:2408.14563},
year = {2025}
}