(Newtonian) Space-Time Algebra
Logic in Computer Science
2020-04-28 v4 Artificial Intelligence
Abstract
The space-time (s-t) algebra provides a mathematical model for communication and computation using values encoded as events in discretized linear (Newtonian) time. Consequently, the input-output behavior of s-t algebra and implemented functions are consistent with the flow of time. The s-t algebra and functions are formally defined. A network design framework for s-t functions is described, and the design of temporal neural networks, a form of spiking neural networks, is discussed as an extended case study. Finally, the relationship with Allen's interval algebra is briefly discussed.
Keywords
Cite
@article{arxiv.2001.04242,
title = {(Newtonian) Space-Time Algebra},
author = {James E. Smith},
journal= {arXiv preprint arXiv:2001.04242},
year = {2020}
}