Quantifier is a mechanism that is helpful in binding variables together and creates a proposition along with semantics that are embedded.
Types of Quantifiers and Rules
There are two types of Quantifiers in Java. They are:
Type1: Existential Quantifiers
- Quantifiers that reads “$” as “there exists”.
- “$x P (x)” is true when an instance can be found which when plugged in for x, makes P (x) true.
- Like dis-junctioning over entire universe - $x P (x ) Û P (x1) ÚP (x2) ÚP (x3) Ú …
Type 2: Universal Quantifiers
- Quantifiers that reads “"” as “for all”.
- “"x P (x)” is true when every instance of x makes P (x) true when plugged in.
- Like con-junctioning over entire universe - "x P (x ) Û P (x1) ÙP (x2) Ù P (x3) Ù …
Advantages of Quantifiers
- Quantifiers can be parsed even though they are Multivariate. For example :While evaluating expressions such as $x "y $z P (x,y,z ), it is important to translate these propositions in sequential order in English : There is an x such that for all y there is a z such that P (x,y,z) holds.
- Quantifier’s supports zero length matches which means that begin and end indices will have zero.
- Quantifiers are capable to capture groups and characters classed efficiently.
Disadvantages of Quantifiers
- Quantifiers are complex for any developers to implement in basic java application.
Best Practices while using Quantifiers
- Each quantifier should be placed before a propositional function and finally binds with a semantic value to obtain a proposition.
- Rebinding of variables in Quantifiers is not allowed. For example, "x ( "x P (x) ) is completely wrong.
- Order or sequence of binding is very important in Quantifiers.