A Mixed Linear and Graded Logic: Proofs, Terms, and Models
V Vollmer, D Marshall, H Eades III… - arXiv preprint arXiv …, 2024 - arxiv.org
Graded modal logics generalise standard modal logics via families of modalities indexed by
an algebraic structure whose operations mediate between the different modalities. The …
an algebraic structure whose operations mediate between the different modalities. The …
Graded Modal Types for Integrity and Confidentiality
D Marshall, D Orchard - arXiv preprint arXiv:2309.04324, 2023 - arxiv.org
Graded type systems, such as the one underlying the Granule programming language, allow
various different properties of a program's behaviour to be tracked via annotating types with …
various different properties of a program's behaviour to be tracked via annotating types with …
[HTML][HTML] Non-linear communication via graded modal session types
D Marshall, D Orchard - Information and Computation, 2024 - Elsevier
Session types provide guarantees about concurrent behaviour and can be understood
through their correspondence with linear logic, with propositions as sessions and proofs as …
through their correspondence with linear logic, with propositions as sessions and proofs as …