A formal methods approach to pattern synthesis in reaction diffusion systems
Files
Accepted manuscript
Date
2014-01-01
Authors
Gol, Ebru Aydin
Bartocci, Ezio
Belta, Calin
Version
OA Version
Citation
Ebru Aydin Gol, Ezio Bartocci, Calin Belta. 2014. "A Formal Methods Approach to Pattern Synthesis in Reaction Diffusion Systems." 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), pp. 108 - 113 (6).
Abstract
We introduce a formal framework for specifying, detecting, and generating spatial patterns in reaction diffusion networks. Our approach is based on a novel spatial superposition logic, whose semantics is defined over the quad-tree representation of a partitioned image. We demonstrate how to use rule-based classifiers to efficiently learn spatial superposition logic formulas for several types of patterns from positive and negative examples. We implement pattern detection as a model-checking algorithm and we show that it achieves very good results on test data sets which are different from the training sets. We provide a quantitative semantics for our logic and we develop computational framework where our quantitative model-checking algorithm works in synergy with a particle swarm optimization technique to synthesize the parameters leading to the formation of desired patterns in reaction diffusion networks.