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learn how predicate logic works, first informally with many examples, later with more formal definitions, and eventually, with outlooks showing you how this system sits at the interface of many disciplines.
3 ημέρες πριν · Predicate logic, first-order logic or quantified logic is a formal language in which propositions are expressed in terms of predicates, variables and quantifiers. It is different from propositional logic which lacks quantifiers.
3.1 Interpretation functions and modals. Models. Expressions are interpreted in models. A model M is a pair hD; Ii, where D is the domain, a (nonempty) set of individuals, and I is an interpretation function: an assignment of semantic values to every basic expression (constant) in the language.
As an example of using Logic in everyday life, consider the interpersonal relations of a small group of friends. There are just four members - Abby, Bess, Cody, and Dana. Some of the girls like each other, but some do not. The figure on the left below shows one set of possibilities.
We now turn our attention to a generalization of propositional logic, called “predi-cate,” or “first-order,” logic. Predicates are functions of zero or more variables that return Boolean values. Thus predicates can be true sometimes and false sometimes, depending on the values of their arguments.
Students introduced to basic concepts of predicate logic and the use of mixed quantifiers. Students introduced to the relationship between logic diagrams, circuit diagrams, and gate diagrams in computer science.
Here is a formal definition of sentences of predicate logic: All sentence letters and predicates followed by the appropriate number of names andlor variables are sentences of predicate logic. (These are the atomic sentences.)
