Moulding Abstractionist Types in Modules with Exposed Experiential Types
Moulding Nonfigurative Types in Modules with Capable Experiential Types , by Benoît Montagu Didier Rémy:
We project F¥, a calculus of capable experiential types that is an extension of System F obtained by disintegrating the introduction and elimination of experiential types into more nuclear constructs. Unfastened experiential types model modular type abstraction as neutralised module systems. The electrostatic semantics of F¥ adapts stock techniques to deal with linearity of typewriting contexts, its dynamical semantics is a little-step reduction semantics that executes extrusion of type abstraction as needed during reduction, and the two are related by capable reduction and progress lemmas. Puting on the Curry-Howard isomorphism, F¥ can be too scan backward as a logic with the same expressive power as second-order logic but with more modular ways of foregathering fond proofs. We as well stretch the core calculus to wield the twofold vision problem as good as type-level and term-level recursion. The ensuing language sprains out to be a newfangled formalization of (a underage variant of) Dreyer’s inner language for recursive and mixin modules.
This approach to existentials seems to well meliorate their power and simplify their use. It as well conveies us one step closer to first-class modules!
