home >
publications >
non-standard computation >
*Jordan Algebra AChems*

### Penelope Faulkner, Angelika Sebald, Susan Stepney.

Jordan Algebra AChems: Exploiting Mathematical Richness for Open Ended Design.

*ALife 2016, Cancun, Mexico, July 2016*, 582–589. MIT Press, 2016

#### Abstract:

We identify some desired mathematical properties of bonds
in an Artificial Chemistry (AChem) that promote complexity
and open-ended behaviour (i.e. an AChem not designed
to display particular behaviours). We identify the underlying
structures created by different properties of mathematical
products. We use these to exploit existing algebra to generate
a potentially open-ended subsymbolic AChem (ssAChem).
We give examples of how our approach leads to interesting
behaviour, focused on the structure of composite particles
within our system.

open access pdf

@inproceedings(Faulkner-ALife-2016,
author = "Penelope Faulkner and Angelika Sebald and Susan Stepney",
title = "Jordan Algebra {AChems}: Exploiting Mathematical Richness for Open Ended Design",
pages = "582-589",
crossref = "ALife-2016"
)
@proceedings(ALife-2016,
title = "ALife 2016, Cancun, Mexico, July 2016",
booktitle = "ALife 2016, Cancun, Mexico, July 2016",
publisher = "MIT Press",
year = 2016
)