During a deductive resolution stepĭ is derived at the base of the 'V' given the clauses on the arms. Involved algebraic inversion of the equations of resolution below.įigure 1 shows a resolution step. In First Order Logic Inverse resolution was lifted to first-order predicate calculus. Process new proposition symbols, not found in the examples, can be ''invented''īy the intra- and inter-construction rules. Trees represent a theory from which the examples can be derived. Using the rules a set of resolution-based trees for deriving the examplesĬan be constructed backwards from their roots. Of the inference rules lower-case letters represent propositional variablesĪnd upper-case letters represent conjunctions of propositional variables.ĭuce's inference rules invert single-depth applications of resolution. With definite clause propositional logic. Inductive inference rules Duce had six inductive inference rules. Logic was the basis of the inductive inference rules within the Duce system. Inductive inference based on inverting resolution in propositional This forms a basis for the programming system Prolog. In the first order predicate calculus could be effected by the single Resolution However, the separation into B, H andĮ is a matter of convenience Inverse Resolution Both Logic Programming and ILP are built upon Robinson's seminal work E can be separated into positiveĮxamples (E+), as ground unit definite clauses and negative examples (E-), Unit clauses of a single target predicate. These have the relationshipī, H and E are each logic programs. (E), background knowledge (B), and hypothesis (H). Within ILP it is usual to separate the above elements into examples In both deduction and induction T and E must be consistent and Similarly, inductive inference derives a general belief T from specificīeliefs E. While inductive inference typically involves unsound conjecture.ĭeductive inference derives consequences E from a prior theory T. However,ĭeductive inference proceeds by application of sound rules of inference, Inference Inductive inference is, in a sense, the inverse of deduction. Relative Least General Generalisation (rlgg).This page provides an outline of the fundamental concepts and theory of Inductive Logic Programming - Theory Introduction
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