SPLASH 2024 (series) / UNSOUND 2024 (series) / UNSOUND 2024 / MeDeTy: An Unsound Object Based Encoding of Propositions as Types
MeDeTy: An Unsound Object Based Encoding of Propositions as TypesOnline
This program is tentative and subject to change.
This talk will detail how a language I have formalised, MeDeTy, has an unsound type system. I will do this by showing how its type system allows the encoding of first order logic. Although most of the type system is non novel, it is the unique features of MeDeTy that allow the encoding of FOL relation symbols that leads to unsoundness, in particular I show how to encode Rusell and Curry’s famous paradoxes. However, this unsoundness only occurs if the user defines a logically inconsistent relation, and I explain how to formalise this result.
This program is tentative and subject to change.
Sun 20 OctDisplayed time zone: Pacific Time (US & Canada) change
Sun 20 Oct
Displayed time zone: Pacific Time (US & Canada) change
14:00 - 15:30 | |||
14:30 30mTalk | On Distributive Subtyping with Finitary and Infinitary Unions and Intersections UNSOUND Lionel Parreaux HKUST (The Hong Kong University of Science and Technology) | ||
15:00 30mTalk | MeDeTy: An Unsound Object Based Encoding of Propositions as TypesOnline UNSOUND Isaac Oscar Gariano Victoria University of Wellington |