| author | hoelzl |
| Wed, 10 Oct 2012 12:12:24 +0200 | |
| changeset 49785 | 0a8adca22974 |
| parent 49510 | ba50d204095e |
| child 52794 | aae782070611 |
| permissions | -rw-r--r-- |
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> |
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<html> |
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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>BNF Package</title> |
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</head> |
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<body> |
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<h3><i>BNF</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>BNF</i> package provides a fully modular framework for constructing |
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inductive and coinductive datatypes in HOL, with support for mixed mutual and |
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nested (co)recursion. Mixed (co)recursion enables type definitions involving |
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both datatypes and codatatypes, such as the type of finitely branching trees of |
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possibly infinite depth. The framework draws heavily from category 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>BNF.thy</tt>. The <tt>Examples</tt> |
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directory contains various examples of (co)datatypes, including the examples |
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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> and <tt>More_BNFs.thy</tt> |
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files register various basic types, notably for sums, products, function spaces, |
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finite sets, 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. Please contact any nonempty |
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subset 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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</html> |