Higher-order abstract syntax

Author:

Crary Karl1,Harper Robert1

Affiliation:

1. Carnegie Mellon University

Abstract

A recent SIGACT News Logic column, guest-written by James Cheney DOI = 10.1145/1107523.1107537 , discussed nominal logic [1], an approach to abstract syntax with binding structure. In addition to providing a worthy tutorial on nominal logic, that column leveled five criticisms at higher-order abstract syntax, an alternative approach for dealing with binding structure in abstract syntax. We argue below that three of those criticisms are factually inaccurate, and the other two are misguided.

Publisher

Association for Computing Machinery (ACM)

Reference3 articles.

1. A New Approach to Abstract Syntax with Variable Binding

2. A framework for defining logics

3. {3} Frank Pfenning and Carsten Schürmann. Twelf User's Guide Version 1.4 2002. Available electronically at http://www.cs.cmu.edu/~twelf. {3} Frank Pfenning and Carsten Schürmann. Twelf User's Guide Version 1.4 2002. Available electronically at http://www.cs.cmu.edu/~twelf.

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1. Nominal Lawvere Theories: A category theoretic account of equational theories with names;Journal of Computer and System Sciences;2014-09

2. Mechanized metatheory for a $$\lambda $$-calculus with trust types;Journal of the Brazilian Computer Society;2013-08-04

3. Structural recursion with locally scoped names;Journal of Functional Programming;2011-05

4. Formalizing Adequacy: A Case Study for Higher-order Abstract Syntax;Journal of Automated Reasoning;2011-03-02

5. Nested Abstract Syntax in Coq;Journal of Automated Reasoning;2010-09-30

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