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1 definition found From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]: symbolic inference The derivation of new facts from known facts and {inference rules}. This is one of the fundamental operations of artificial intelligence and logic programming languages like Prolog. Inference is a basic part of human reasoning. For example given that all men are mortal and that Socrates is a man, it is a trivial step to infer that Socrates is mortal. We might express these symbolically: man(X) => mortal(X). man(socrates). ("if X is a man then X is mortal" and "Socrates is a man"). Here, "man", "mortal" and "socrates" are just arbitrary symbols which the computer manipulates without reference to or knowledge of their external meaning. A forward chaining system (a production system) could use these to infer the new fact mortal(socrates). simply by matching the left-hand-side of the implication against the fact and substituting socrates for the variable X. (1994-10-28)