Step by Step solution about How to resolve the algorithm Ternary logic step by step in the Java programming language

Enum Trit: This enum represents the three values: true (TRUE), maybe (MAYBE), and false (FALSE). It defines the behavior of logical operators like and, or, tIf (conditional implication), not (logical negation), and equals (equivalence) for these values.

Method and(Trit other):

• Returns other if the current Trit is TRUE.
• Returns MAYBE if the current Trit is MAYBE and other is not FALSE.
• Returns FALSE otherwise.

Method or(Trit other):

• Returns TRUE if the current Trit is TRUE.
• Returns MAYBE if the current Trit is MAYBE and other is TRUE.
• Returns other otherwise.

Method tIf(Trit other):

• Returns other if the current Trit is TRUE.
• Returns MAYBE if the current Trit is MAYBE and other is TRUE.
• Returns TRUE if the current Trit is FALSE.

Method not():

• Returns FALSE if the current Trit is TRUE.
• Returns MAYBE if the current Trit is MAYBE.
• Returns TRUE if the current Trit is FALSE.

Method equals(Trit other):

• Returns other if the current Trit is TRUE.
• Returns MAYBE if the current Trit is MAYBE.
• Returns the negation of other if the current Trit is FALSE.

Main Method:

• Prints the truth table for the not operator for each Trit value.
• Prints the truth table for the and, or, tIf, not, and equals operators for all pairs of Trit values.

This code demonstrates the behavior of three-valued logic, where each proposition can have the values true, maybe, or false. It defines logical operators that work consistently with these values, allowing for more nuanced reasoning than in traditional two-valued logic.

public class Logic{
	public static enum Trit{
		TRUE, MAYBE, FALSE;
		
		public Trit and(Trit other){
			if(this == TRUE){
				return other;
			}else if(this == MAYBE){
				return (other == FALSE) ? FALSE : MAYBE;
			}else{
				return FALSE;
			}
		}
		
		public Trit or(Trit other){
			if(this == TRUE){
				return TRUE;
			}else if(this == MAYBE){
				return (other == TRUE) ? TRUE : MAYBE;
			}else{
				return other;
			}
		}
		
		public Trit tIf(Trit other){
			if(this == TRUE){
				return other;
			}else if(this == MAYBE){
				return (other == TRUE) ? TRUE : MAYBE;
			}else{
				return TRUE;
			}
		}
		
		public Trit not(){
			if(this == TRUE){
				return FALSE;
			}else if(this == MAYBE){
				return MAYBE;
			}else{
				return TRUE;
			}
		}
		
		public Trit equals(Trit other){
			if(this == TRUE){
				return other;
			}else if(this == MAYBE){
				return MAYBE;
			}else{
				return other.not();
			}
		}
	}
	public static void main(String[] args){
		for(Trit a:Trit.values()){
			System.out.println("not " + a + ": " + a.not());
		}
		for(Trit a:Trit.values()){
			for(Trit b:Trit.values()){
				System.out.println(a+" and "+b+": "+a.and(b)+
						"\t "+a+" or "+b+": "+a.or(b)+
						"\t "+a+" implies "+b+": "+a.tIf(b)+
						"\t "+a+" = "+b+": "+a.equals(b));
			}
		}
	}
}