When Types Intersect and Effects Get Handled

[2606.09526] When Types Intersect and Effects Get Handled Skip to main content Search Submit Donate Log in Computer Science > Logic in Computer Science arXiv:2606.09526 (cs) [Submitted on 8 Jun 2026 ( v1 ), last revised 24 Aug 2026 (this version, v3)] Title: When Types Intersect and Effects Get Handled Authors: Stefano Catozi , Ugo Dal Lago , Taro Sekiyama View PDF HTML (experimental) Abstract: We introduce a novel intersection type system for a $\lambda$-calculus with algebraic effects and handlers. The system, inherently behavioral in nature, enjoys the classical properties of intersection type systems, in particular subject reduction and expansion. It thus characterizes the set of terms whose evaluation process terminates and, at the same time, allows reducing the reachability problem to type inference. This new system, the first with these features for a calculus with handlers, induces a system of simple types which, although not guaranteeing termination, is type sound and admits a decidable HOMC problem, unlike similar type systems like Dal Lago and Ghyselen's HEPCF. Subjects: Logic in Computer Science (cs.LO) ; Programming Languages (cs.PL) Cite as: arXiv:2606.09526 [cs.LO] (or arXiv:2606.09526v3 [cs.LO] for this version) https://doi.org/10.48550/arXiv.2606.09526 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Stefano Catozi [ view email ] [v1] Mon, 8 Jun 2026 14:12:22 UTC (147 KB) [v2] Sat, 27 Jun 2026 15:53:23 UTC (147 KB) [v3] Mon, 24 Aug 2026 21:40:47 UTC (172 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Additional Features Audio Summary Current browse context: cs.LO < prev | next > new | recent | 2026-06 Change to browse by: cs cs.PL References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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