A nominal syntax for internal parametricity

Bifibrational Functorial Semantics Of Parametric Polymorphism

parametricity implies dinaturality. ... the internal language. All type expressions with ... this non-example also extends to a constructive treatment of the ...

Relational Parametricity and Separation Logic

In particular, we would expect that clients should behave parametrically in the internal re- source invariants: When a client is applied to two different ...

Functional Structure in Nominals - Artemis Alexiadou

This work studies aspects of the internal structure of nominal/determiner phrases ... -BLE adjectives: Issues in the external and internal syntax.

reference request - Implementing "Internal" Languages

the syntax and the rules of the internal language; the model; the interpretation. That is a lot of work, too. Some projects along these lines ...

Paul Melchin_UOttawa.docx

Natural Language Semantics 6, 339-405. Fukui, N. (1988). Deriving the differences between English and Japanese: A case study in parametric syntax. English ...

A Presheaf Model of Parametric Type Theory

... nominal sets with restrictions. The present ... internal form of ... In this section we define the syntax and typing rules of our parametric type theory,.

POPL Research Papers - POPL 2024

Probabilistic programming interfaces for random graphs: Markov categories, graphons, and nominal sets ... Internal parametricity, without an interval. POPL.

[UNIF 2021] Nominal Disunification via Fixed-Point Constraints

[UNIF 2021] Nominal Disunification via Fixed-Point Constraints ... [HoTT/UF 2021] Cohesive Internal Parametricity for Cubical Type Theory.

Bifibrational functorial semantics of parametric ... - Computer Science

the internal language. All type expressions with one free type variable occurring only positively give rise to strong functors, but there are further ...

Homotopy Type Theory Electronic Seminar Talks in nLab

Simon Huber, Homotopy canonicity for cubical type theory, 21 February 2019 (video, slides). Evan Cavallo, Internal Parametricity and Cubical ...

platform/doc/README~8.16~2023.08.md at main · coq ... - GitHub

The Coq proof assistant provides a formal language to write mathematical definitions, executable algorithms, and theorems, together with an environment for ...

Gradual type theory - NSF PAR

Dynamically typed code can be written without conforming to a strict syntactic type discipline, so the programmer can always run their program interactively ...

Abstract Interpretation of Domain-Specific Embedded Languages

the internal abstract syntax tree during the compilation process. Magik is ... Note that there is a double-negation rule, so γ is positive in these examples.

Programming Languages: Application and Interpretation - Brown CS

Sticking to surface syntax for brevity, suppose we apply double to (+ 1 2). ... internal or user-defined. For clarity, our interpreter uses a separate ...

Types and Programming Languages

... Parametricity. 359. 23.10 Impredicativity. 360. 23.11 Notes. 361. 24 ... a = double (λx:Nat. succ (succ x)) 1 in let b = double (λx:Bool. x) false in ...

OGI School of - OHSU

syntax and libraries, and the writing of object-ori- ented Java ... internal tides in buoyant plumes. Modeling efforts use symbolic mathematics ...

Principles of program verification for arbitrary monadic effects

as a few examples of monad internal to SM amount to 4kloc ... Syntax for free: Representing syntax with binding using parametricity.

Talks and Slides - TYPES 2024

Ambrus Kaposi - Internal relational parametricity, without an interval · András Kovács - Polarized Lambda-Calculus at Runtime, Dependent Types at Compile Time ...

Game Semantics - Computer Science

Regular expressions are a syntax for regular languages. Regular expressions can be given a syntactic, OS-like, interpretation known as Kleene ...

2016 - Semantic Domain

... parametricity while supporting reflection on syntax). ... (In fact, Andy Pitts tells me that the right formulation of syntax for nominal dependent ...