Predicate Logic:

Predicate logic is an extension of Propositional logic. It adds the concept of predicates and quantifiers to better capture the meaning of statements that cannot be adequately expressed by propositional logic.

The predicate p can be considered as a function. It tells the truth value of the statement p(x) at x  Once a value has been assigned to the variable x , the statement p(x) becomes a proposition and has a truth or false (tf) value.

For example Example 2: Let R(x,y)

denote the statement “x=y+1″  What is the truth value of the propositions R(1,3)

and R(2,1)?
Solution: R(1,3)

is the statement 1 = 3 + 1, which is False.
R(2,1)  is the statement 2 = 1 + 1, which is True.

What are quantifiers?

In predicate logic, predicates are used alongside quantifiers to express the extent to which a predicate is true over a range of elements. Using quantifiers to create such propositions is called quantification.

There are two types of quantifiers ..Read more

Mathematics | Predicates and Quantifiers | Set 1 – GeeksforGeeks
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