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Tait computability

Web2 Jun 2024 · Normalization follows from a novel adaptation of Sterling's Synthetic Tait Computability which generalizes the framework to accommodate a type theory with … Web19 Jan 2024 · Chapter 4: Tait’s Method of Computability [jms-0013] It is simple enough to verify negative properties of a formal system, e.g. the non-derivability of a given assertion …

Towards Normalization of Simplicial Type Theory via Synthetic Tait …

Web23 Jun 2024 · First employed by Sterling and Harper to reconstruct the theory of program modules and their phase separated parametricity, synthetic Tait computability is … Webtheory as well as synthetic Tait computability, a recent technique to establish syntactic properties of type theories and programming languages. In the context of multiple universes, the realignment property also implies a coherent choice of codes for connectives at each universe level, thereby interpreting the cumulativity laws present in popular how is heparin measured https://thereserveatleonardfarms.com

Logical Relations as Types: Proof-Relevant Parametricity for …

Web2 Aug 2024 · It is a technique of constructing logical relations using an internal language of a category obtained by the Artin gluing. ... ... The logical relation constructed using synthetic Tait... WebI am a Marie Skłodowska-Curie Postdoctoral Fellow hosted at Aarhus University in the Logic and Semantics group by L. Birkedal, and will be starting as an Associate Professor at University of Cambridge in Autumn; I earned my PhD from Carnegie Mellon University under R. Harper.I study programming languages and semantics using type theory, category … Web3 Simplicial Synthetic Tait Computability Presentation as a bered signature In his recent PhD thesis [15], Sterling develops a logical framework to de ne a variety of type theories. The … how is heparin made

PhD Abstracts Journal of Functional Programming Cambridge …

Category:TypeSynth: synthetic methods in program verification

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Tait computability

Normalization for Multimodal Type Theory - ResearchGate

WebTait computability (STC) from working internally to a single gluing category to applying to a collection of gluing categories interconnected by functors and natu-ral transformations. In particular ...

Tait computability

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Web27 Jan 2024 · This proof uses a generalization of synthetic Tait computability -- an abstract approach to gluing proofs -- to account for modalities. This extension is based on MTT itself, so that this proof also constitutes a significant case study of MTT. Web19 Jan 2024 · The modal language of synthetic Tait computability promises a new and more abstract account of refinement types and program extraction via a phase distinction …

Web28 Jun 2024 · information flow, noninterference, denotational semantics, phase distinction, Artin gluing, modal type theory, topos theory, synthetic domain theory, synthetic Tait computability : Seminar: 7th International Conference on Formal Structures for Computation and Deduction (FSCD 2024) Issue date: 2024 : Date of publication: 28.06.2024 WebIn this dissertation, I add synthetic Tait computability to the arsenal of the objective metatheorist. Synthetic Tait computability is a mathematical machine to reduce difficult …

WebFirst Steps in Synthetic Tait Computability The Objective Metatheory of Cubical Type Theory Jonathan Sterling Carnegie Mellon University September 13, 2024 To my mother, LeeAnn. … Web29 Jun 2024 · Synthetic Tait computability (or STC) was first employed in op. cit. to prove a generalized abstraction/parametricity theorem for a language of software packages ("modules") in the style of...

Note that despite the name, synthetic Tait computability is not a subfield of synthetic computability theory, but rather a synthetic approach to Tait's method of computability. This suggests that synthetic Tait computability is one technique in a larger field of synthetic mathematics internal to a glued topos. See more Synthetic Tait computability is an approach to constructing logical relations (also known as Tait’s method of computability) using the internal language of toposes … See more

Web30 Jun 2024 · TYPES 2024 highland memorial cemetery apopka flWebSynthetic Tait Computability for Simplicial Type Theory Jonathan Weinberger1, Benedikt Ahrens2, Ulrik Buchholtz3, and Paige North4 1 Max Planck Institute for Mathematics, Bonn, Germany [email protected] 2 Delft University of Technology, The Netherlands [email protected] 3 University of Nottingham, UK [email protected] highland memorial cemetery knoxville tnWebSynthetic Tait Computability for Simplicial Type Theory Weinberger, Ahrens, Buchholtz, and North With those modi cations, our current progress indicates that the methods by … highland medical rockland county new yorkWeb23 Sep 2024 · First Steps in Synthetic Tait Computability: The Objective Metatheory of Cubical Type Theory Jonathan Sterling 135 subscribers Subscribe 757 views 1 year ago [Thesis Defense] The … how is hepatitis a contagiousWeb19 Jan 2024 · This dissertation has focused almost solely on the development and applications of synthetic Tait computability in the context of pure type theory, but the author originally invented synthetic Tait computability to solve problems in core programming languages, as part of Sterling and Harper’s re-analysis of the phase distinction in ML-style … how is hepatitis b diagnosedWeb31 Dec 2024 · Our proof adapts and extends Sterling's technique of synthetic Tait computability (STC) [34,31], which has previously been used to establish parametricity for an ML-style module calculus [34] and... how is hepatitis a spread in the householdWeb19 Jan 2024 · The purpose of this chapter is to identify several applications of synthetic Tait computability to core programming languages, and set an agenda for future work — some … how is hepatitis a