metatheoretic en · ADJ
Etymology
From meta- + theoretic.
Meanings
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(alt-of, alternative, not-comparable) Alternative form of metatheoretical.
alt of metatheoretical
Unfortunately, type soundness has only been established for a very restricted subset of DOT (muDOT), and it has been shown that adding important Scala features such as type refinement or extending subtyping to a lattice breaks at least one key metatheoretic property such as narrowing or subtyping transitivity, which are usually required for a type soundness proof. The first main contribution of this paper is to demonstrate how, perhaps surprisingly, even though these properties are lost in their full generality, a richer DOT calculus that includes both type refinement and a subtyping lattice with intersection types can still be proved sound.
2015, Tiark Rompf, Nada Amin, “From F to DOT: Type Soundness Proofs with Definitional Interpreters”, in arXiv: