Algebraic Bayesian networks: an implementation of probabilistic-logic inference in a system of Java-programs

Algebraic Bayesian Networks (ABN) is a probabilistic-logic model for knowledge patterns bases with uncertainty. A knowledge pattern mathematical model is a conjuncts ideal with their estimates of probability. The estimates can be scalar as well as interval. An ABN consists of a set of knowledge patterns; this set is referred to as the primary structure of the ABN. The set of links among knowledge patterns is referred to as the secondary structure of the ABN; this structure is represented with a join graph (or with its subtypes — join tree or join chain). The paper offers data structures that can represent knowledge patterns as well as the primary and secondary structures of ABNs in RDBMSs or java code as well as an implementation of probabilistic-logic inference in ABNs.