Representing Guardedness in Call-By-Value
Goncharov S (2023)
Publication Type: Conference contribution
Publication year: 2023
Journal
Publisher: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
Book Volume: 260
Conference Proceedings Title: Leibniz International Proceedings in Informatics, LIPIcs
Event location: Rome
ISBN: 9783959772778
DOI: 10.4230/LIPIcs.FSCD.2023.34
Abstract
Like the notion of computation via (strong) monads serves to classify various flavours of impurity, including exceptions, non-determinism, probability, local and global store, the notion of guardedness classifies well-behavedness of cycles in various settings. In its most general form, the guardedness discipline applies to general symmetric monoidal categories and further specializes to Cartesian and co-Cartesian categories, where it governs guarded recursion and guarded iteration respectively. Here, even more specifically, we deal with the semantics of call-by-value guarded iteration. It was shown by Levy, Power and Thielecke that call-by-value languages can be generally interpreted in Freyd categories, but in order to represent effectful function spaces, such a category must canonically arise from a strong monad. We generalize this fact by showing that representing guarded effectful function spaces calls for certain parametrized monads (in the sense of Uustalu). This provides a description of guardedness as an intrinsic categorical property of programs, complementing the existing description of guardedness as a predicate on a category.
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How to cite
APA:
Goncharov, S. (2023). Representing Guardedness in Call-By-Value. In Marco Gaboardi, Femke van Raamsdonk (Eds.), Leibniz International Proceedings in Informatics, LIPIcs. Rome, IT: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing.
MLA:
Goncharov, Sergey. "Representing Guardedness in Call-By-Value." Proceedings of the 8th International Conference on Formal Structures for Computation and Deduction, FSCD 2023, Rome Ed. Marco Gaboardi, Femke van Raamsdonk, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2023.
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