Structure-Preserving Diagram Operators

Roux, Navid; Rabe, Florian

doi:10.1007/978-3-030-73785-6_8

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2021

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“…While LATIN worked with modular Twelf [15], LATIN2 uses the MMT/LF incarnation of LF [13]. In addition to an implementation of LF and a module system, MMT provides a framework for diagram operators [14], which supports the meta-theory and implementation of operators that systematically derive formalizations from one another. It also makes it easy to annotate declarations, which we will use to guide the softening operator in a few places.…”

Section: Contribution and Overviewmentioning

confidence: 99%

Systematic Translation of Formalizations of Type Theory from Intrinsic to Extrinsic Style

Rabe

Roux

2021

Electron. Proc. Theor. Comput. Sci.

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Type theories can be formalized using the intrinsically (hard) or the extrinsically (soft) typed style. In large libraries of type theoretical features, often both styles are present, which can lead to code duplication and integration issues.We define an operator that systematically translates a hard-typed into the corresponding softtyped formulation. Even though this translation is known in principle, a number of subtleties make it more difficult than naively expected. Importantly, our translation preserves modularity, i.e., it maps structured sets of hard-typed features to correspondingly structured soft-typed ones.We implement our operator in the MMT system and apply it to a library of type-theoretical features.

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Section: Contribution and Overviewmentioning

confidence: 99%