This paper presents an approach to the belief system based on a computational framework in three levels: first, the logic level with the definition of binary local rules, second, the arithmetic level with the definition of recursive functions and finally the behavioural level with the definition of a recursive construction pattern. Social communication is achieved when different beliefs are expressed, modified, propagated and shared through social nets. This approach is useful to mimic the belief system because the defined functions provide different ways to process the same incoming information as well as a means to propagate it. Our model also provides a means to cross different beliefs so, any incoming information can be processed many times by the same or different functions as it occurs is social nets. Key-words. Binary local rules, recursive functions, behavioural patterns, belief system, social communication
1-IntroductionBeliefs are very important for individuals since they give sense to their actions when available information is incomplete or inconsistent. Beliefs have the capability to impact on our behavior and are a powerful engine to move and change the social environment. Reciprocally, societal changes may trigger belief revision [1,2]. Belief systems are sets of norms that provide an organized interpretation of the world to the human beings in order to allow a viable interaction human/society [3]. Everybody may have a belief system which is shared totally, partially or not shared with others. Generally, belief systems have no need to be constructed upon reason and survive as long as they provide a satisfactory approach or explanation to events that are poorly understood. Many different disciplines such as mathematics [1,4]], biology [5][6][7][8], psychology [9][10][11], philosophy [12,13], sociology [14][15][16], politics [17][18][19][20] and more recently computational science [21][22][23][24][25][26][27][28][29] have supported important advances at different levels of analysis from the molecular/neurological, to the cognitive/psychological and finally to the social/institutional and motivate a great interest for the study of belief systems. In this paper we consider the belief systems under the scope of the communication of ideas which is crucial in society evolution. Communication between humans allows a wide expansion of ideas grounded in beliefs that configure a time varying map of trends. Nowadays, social nets are responsible of the speedy and ubiquitous information propagation which implies the emergence of trending topics. Our approach deals with the keys of message modification and propagation in society as a case of complex system behaviour. We define a set of binary local rules that apply recursively and trigger functions with complex emergent behaviours. These provide a model for social communication based in beliefs. After introduction, Section 2 develops the computational model in three levels: first, the logic level with the definition of binary local rules, second, the ari...