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Stream programs are monoid homomorphisms with state
July 14, 2025 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Tyler Hou, Michael Arntzenius, Max Willsey
arXiv ID
2507.10799
Category
cs.PL: Programming Languages
Cross-listed
cs.DC
Citations
0
Venue
arXiv.org
Last Checked
4 months ago
Abstract
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.
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