Higher Dimensional Syntax

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Higher-dimensional syntax

The aim of this paper is to present the notion of higher-dimensional syntax, which is a hierarchy of languages. Each term of a n-dimensional language will be typed by terms of the underlying n ? 1-dimensional language. This is an application of the emerging higher-dimensional category notions. On the lower dimensions live notions of syntax which are already known. So dimension zero corresponds ...

متن کامل

Higher-order Abstract Syntax in Coq Higher-order Abstract Syntax in Coq

The terms of the simply-typed-calculus can be used to express the higher-order abstract syntax of objects such as logical formulas, proofs, and programs. Support for the manipulation of such objects is provided in several programming languages (e.g. Prolog, Elf). Such languages also provide embedded implication, a tool which is widely used for expressing hypothetical judgments in natural deduct...

متن کامل

Reflecting Higher-Order Abstract Syntax in Nuprl

This document describes part of an effort to achieve in Nuprl a practical reflection of its expression syntax. This reflection is done at the granularity of the operators; in particular, each operator of the syntax is denoted by another operator of the same syntax. Further, the syntax has binding operators, and we organize reflection not around the concrete binding syntax, but instead, around t...

متن کامل

Higher-order Abstract Syntax in Type Theory

We develop a general tool to formalize and reason about languages expressed using higher-order abstract syntax in a proof-tool based on type theory (Coq). A language is specified by its signature, which consists of sets of sort and operation names and typing rules. These rules prescribe the sorts and bindings of each operation. An algebra of terms is associated to a signature, using de Bruijn n...

متن کامل

A Syntax for Higher Inductive-Inductive Types∗

Higher inductive-inductive types (HIITs) generalise inductive types of dependent type theories in two directions. On the one hand they allow the simultaneous definition of multiple sorts that can be indexed over each other. On the other hand they support equality constructors, thus generalising higher inductive types of homotopy type theory. Examples that make use of both features are the Cauch...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Electronic Notes in Theoretical Computer Science

سال: 1999

ISSN: 1571-0661

DOI: 10.1016/s1571-0661(05)80323-8