Deductive rules in holographic reduced representation

Holographic reduced representation is based on a suitable distributive coding of structured information in conceptual vectors, which elements satisfy normal distribution N(0,1/n). Existing applications of this approach concern various models of associative memory that exploit a simple algebraic operation of scalar product of distributed representations to measure an overlap between two structured concepts. This paper describes an inference process based on the rules modus ponens and modus tollens.