| author | Christian Sternagel |
| Thu, 30 Aug 2012 15:44:03 +0900 | |
| changeset 49093 | fdc301f592c4 |
| parent 48975 | 7f79f94a432c |
| child 49159 | 7af3f9f41783 |
| permissions | -rw-r--r-- |
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<head> |
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<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1"> |
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<title>Codatatype Package</title> |
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</head> |
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<body> |
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<h3><i>Codatatype</i>: A (co)datatype package based on bounded natural functors |
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(BNFs)</h3> |
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<p> |
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The <i>Codatatype</i> package provides a fully modular framework for |
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constructing inductive and coinductive datatypes in HOL, with support for mixed |
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mutual and nested (co)recursion. Mixed (co)recursion enables type definitions |
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involving both datatypes and codatatypes, such as the type of finitely branching |
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trees of possibly infinite depth. The framework draws heavily from category |
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theory. |
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<p> |
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The package is described in the following paper: |
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<ul> |
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<li><a href="http://www21.in.tum.de/~traytel/papers/codatatypes/index.html">Foundational, Compositional (Co)datatypes for Higher-Order Logic—Category Theory Applied to Theorem Proving</a>, <br> |
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Dmitriy Traytel, Andrei Popescu, and Jasmin Christian Blanchette.<br> |
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<i>Logic in Computer Science (LICS 2012)</i>, 2012. |
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</ul> |
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<p> |
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The main entry point for applications is <tt>Codatatype.thy</tt>. |
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The <tt>Examples</tt> directory contains various examples of (co)datatypes, |
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including the examples from the paper. |
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<p> |
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The key notion underlying the package is that of a <i>bounded natural functor</i> |
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(<i>BNF</i>)—an enriched type constructor satisfying specific properties |
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preserved by interesting categorical operations (composition, least fixed point, |
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and greatest fixed point). The <tt>Basic_BNFs.thy</tt> file registers |
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various basic types, notably for sums, products, function spaces, finite sets, |
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multisets, and countable sets. Custom BNFs can be registered as well. |
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<p> |
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<b>Warning:</b> The package is under development. Future versions are expected |
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to support multiple constructors and selectors per (co)datatype (instead of a |
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single <i>fld</i> or <i>unf</i> constant) and provide a nicer syntax for |
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(co)datatype and (co)recursive function definitions. Please contact |
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any of |
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<a href="mailto:traytel@in.tum.de">the</a> |
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<a href="mailto:popescua@in.tum.de">above</a> |
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<a href="mailto:blanchette@in.tum.de">authors</a> |
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if you have questions or comments. |
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</body> |
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