From: Tobias Nipkow <nipkow@in.tum.de>
Relational Forests
Walter Guttmann
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.
https://www.isa-afp.org/entries/Relational_Forests.html
Enjoy!
smime.p7s
Last updated: Jan 04 2025 at 20:18 UTC