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Bibliographic Details
Main Authors: Hou, Tyler, Arntzenius, Michael, Willsey, Max
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.10799
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author Hou, Tyler
Arntzenius, Michael
Willsey, Max
author_facet Hou, Tyler
Arntzenius, Michael
Willsey, Max
contents We define a broad class of deterministic stream functions and show they can be implemented as homomorphisms into a "state" monoid. The homomorphism laws are simpler than the conditions of previous semantic frameworks for stream program optimization, yet retain support for rich equational reasoning over expressive dataflow programs, including sequential composition, parallel composition, and feedback. We demonstrate this using examples of partitioned database joins, stratified negation, and a simplified model of TCP.
format Preprint
id arxiv_https___arxiv_org_abs_2507_10799
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stream programs are monoid homomorphisms with state
Hou, Tyler
Arntzenius, Michael
Willsey, Max
Programming Languages
Distributed, Parallel, and Cluster Computing
We define a broad class of deterministic stream functions and show they can be implemented as homomorphisms into a "state" monoid. The homomorphism laws are simpler than the conditions of previous semantic frameworks for stream program optimization, yet retain support for rich equational reasoning over expressive dataflow programs, including sequential composition, parallel composition, and feedback. We demonstrate this using examples of partitioned database joins, stratified negation, and a simplified model of TCP.
title Stream programs are monoid homomorphisms with state
topic Programming Languages
Distributed, Parallel, and Cluster Computing
url https://arxiv.org/abs/2507.10799