Total parser combinators

Author:

Danielsson Nils Anders1

Affiliation:

1. University of Nottingham, Nottingham, United Kingdom

Abstract

A monadic parser combinator library which guarantees termination of parsing, while still allowing many forms of left recursion, is described. The library's interface is similar to those of many other parser combinator libraries, with two important differences: one is that the interface clearly specifies which parts of the constructed parsers may be infinite, and which parts have to be finite, using dependent types and a combination of induction and coinduction; and the other is that the parser type is unusually informative. The library comes with a formal semantics, using which it is proved that the parser combinators are as expressive as possible. The implementation is supported by a machine-checked correctness proof.

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Graphics and Computer-Aided Design,Software

Reference47 articles.

1. }}The Agda Team. The Agda Wiki. Available at http://wiki.portal.chalmers.se/agda/ 2010. }}The Agda Team. The Agda Wiki. Available at http://wiki.portal.chalmers.se/agda/ 2010.

2. }}Thorsten Altenkirch and Nils Anders Danielsson. Termination checking in the presence of nested inductive and coinductive types. Note supporting presentation given at the Workshop on Partiality and Recursion in Interactive Theorem Provers Edinburgh UK 2010. }}Thorsten Altenkirch and Nils Anders Danielsson. Termination checking in the presence of nested inductive and coinductive types. Note supporting presentation given at the Workshop on Partiality and Recursion in Interactive Theorem Provers Edinburgh UK 2010.

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