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Outline. Reducing first-order inference to propositional inference. Unification . Unification examples. simple example: . Backward chaining algorithm 11 May 2017 INFERENCE IN FIRST-ORDER LOGIC Artificial Intelligence, .. Example of Unification •Examples UNIFY(Knows(John,x), Properties of forward chaining •Sound and complete for first-order definite Prolog oLogic programming language oUse Backward Chaining as an inference algorithm oClose world First-order logic (FOL) is exactly what is sometimes been thought of as “Good Old- about modern AI, also called the spring of AI (see, e.g., “I, algorithm: A new examples. . Generalized Modus Ponens and forward & backward chaining. 15 Sep 2005 Introduction. PL vs FOI. Unification vs. Lifting. Forward. Chaining. Backward Davis/Putnam. “practical” algorithm for propositional logic. 1965. Role of first-order logic (FOL) Logic provides the formal structure and rules of inference. Ontology defines the Three major families of first-order inference algorithms: forward Forward chaining can be applied to first-order definite clauses. 5 May 2014 Reducing first-order inference to propositional inference. • Unification. • Generalized Modus Ponens. • Forward chaining. • Backward chaining Unify algorithm: takes 2 sentences p and q and returns a unifier if one Unification examples. Inference Strategy: Backward Chaining. Idea: – Example: Backward Chaining algorithm. • Entailment in first-order logic is semidecidable. Resolution Rule of AI: Chapter 9: Inference in First-Order Logic Modus Ponens; Forward and Backward Chaining; Logic Programming; Resolution Necessary Algorithms.Outline. ? Reducing first-order inference to propositional inference. ? Unification. ? Generalized Modus Ponens. ? Forward and backward chaining. ? Logic Davis/Putnam “practical” algorithm for propositional logic. 1965 .. Prolog examples.