Predicate (mathematical logic) - Wikipedia
https://en.wikipedia.org/wiki/Predicate_(mathematical_logic)• In propositional logic, atomic formulas are sometimes regarded as zero-place predicates In a sense, these are nullary (i.e. 0-arity) predicates.• In first-order logic, a predicates forms an atomic formula when applied to an appropriate number of terms.• In set theory with excluded middle, predicates are understood to be characteristic functions or set indicator functions (i.e., functions from a set element to a truth …
Predicate Logic | Brilliant Math & Science Wiki
https://brilliant.org/wiki/predicate-logic02.01.2022 · We could extend predicate logic by talking about identity, something we are all familiar with. The identity = = = is actually a two place predicate which tells us that a given term can always be replaced by the other. Because identity is an equivalence relation, it is symmetric, transitive and reflexive,. It lets us express some propositions which we otherwise would not …
Predicate Logic - Stanford University
infolab.stanford.edu › ~ullman › focsSome tautologies of predicate logic are analogs of tautologies for propo-sitional logic (Section 14.6), while others are not (Section 14.7). Proofs in predicate logic can be carried out in a manner similar to proofs in propositional logic (Sections 14.8 and 14.9). In Section 14.10 we discuss some of the implications of predicate logic as to our