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Extra resources for Application of Artificial Intelligence in Process Control. Lecture Notes Erasmus Intensive Course
Other examples of functions are absolute-value, plus, etc... Each of the arguments of a function can be a variable, a constant, or a function (with its arguments). Functions can, of course, be combined; we can speak of the father-of (father-of (John)), who would, of course, be John's paternal grandfather. 2. Equals: Two individuals X and Y are equal if and only if they are indistinguishable under all predicates and functions. More formally, X = Y if and only if, for all predicates P , P(X) = P(Y), and also for all functions F, F(X) = F(Y).
Caesar was a ruler. Ruler(Caesar) 5. All Romans were either loyal to Caesar or hated him. VX Roman(X) =4> loyalto(X, Caesar) V hate(X, Caesar) 6. Everyone is loyal to someone. VX 3Y loyalto(X,Y) 7. People only try to assassinate rulers they are not loyal to. VX WY person(X) A ruler(Y) A tryassassinate(X, Y) => -iloyalto(X, Y) 8. Marcus tried to assassinate Caesar. tryassassinate(Marcus, Caesar) After conversion to a normal clause form, we arrive at the clause-set as in figure 6. ' hate(Marcus, Caesar) We will therefore add to the 8 clauses from the figure 6 the 9th statement: -thate(Marcus, Caesar) and look if we run eventually into a contradiction as drawn in the tree of figure 7.
World. e. 'Predicate Calculus' as the underlying base. Logic is a formal m e t h o d for reasoning. g. Dutch) ii Inferencing Figure 1: Mapping / Representation of Facts concepts. These symbolic structures can then be manipulated in programs to deduce various facts, to carry out a form of automated reasoning. In 'First Order Predicate Logic (FOPL)', statements from a natural language like English are translated into symbolic structures comprised of predicates, functions, variables, constants, quantifiers, and logic connectives.