| Home |
| About |
| Submission |
| Updating Entries |
| Using Entries |
| Search |
| Statistics |
| Index |
| Download |
Relational Forests
| Title: | Relational Forests |
| Author: | Walter Guttmann |
| Submission date: | 2021-08-03 |
| Abstract: | We study second-order formalisations of graph properties expressed as first-order formulas in relation algebras extended with a Kleene star. The formulas quantify over relations while still avoiding quantification over elements of the base set. We formalise the property of undirected graphs being acyclic this way. This involves a study of various kinds of orientation of graphs. We also verify basic algorithms to constructively prove several second-order properties. |
| BibTeX: |
@article{Relational_Forests-AFP,
author = {Walter Guttmann},
title = {Relational Forests},
journal = {Archive of Formal Proofs},
month = aug,
year = 2021,
note = {\url{https://isa-afp.org/entries/Relational_Forests.html},
Formal proof development},
ISSN = {2150-914x},
}
|
| License: | BSD License |
| Depends on: | Stone_Kleene_Relation_Algebras |
| Status: [ok] | This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations. |
|
Proof outline Proof document |
| Browse theories |
| Download this entry |