Problife: a Probabilistic Game of Life

Abstract

This paper presents a probabilistic extension of the wellknown cellular automaton, Game of Life. In Game of Life, cells are placed in a grid and then watched as they evolve throughout subsequent generations, as dictated by the rules of the game. In our extension, called ProbLife, these rules now have probabilities associated with them. Instead of cells being either dead or alive, they are denoted by their chance to live. After presenting the rules of ProbLife and its underlying characteristics, we show a concrete implementation in ProbLog, a probabilistic logic programming system. We use this to generate different images, as a form of rule-based generative art.⋆ This research received funding from the Flemish Government under the "Onderzoeksprogramma Artificiële Intelligentie (AI) Vlaanderen" programme.

Thermodynamics in Stochastic Conway’s Game of Life

“…The modification of the fully deterministic Classical Conway's Game of Life by adding probability to this simulator can be done in a variety of ways [6,7]. The Stochastic Classical Conway's Game of Life (SCCGoL) was developed from the Deterministic Classical Conway's Game of Life by adding the probability of spontaneous change to the initially deterministic rules describing the states of cells.…”