20 lines
		
	
	
		
			711 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			20 lines
		
	
	
		
			711 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
 | |
| title: Satisfiability
 | |
| ---
 | |
| ## Satisfiability
 | |
| 
 | |
| Satisfiability refers to the existence of a combination of values to make the expression true. So in short, a proposition is satisfiable if there is at least one true result in its truth table, valid if all values it returns in the truth table are true.
 | |
| 
 | |
| A formula P is considered satisfiable if it is sometimes true for some assignment of true/false to the variables.
 | |
| 
 | |
| Example:
 | |
|   - x ^ y : is Satisfiable with x = T, y = T
 | |
|   - x v y : is Satisfiable with x = T, y = F or x = F, y = T
 | |
|   
 | |
| If there are no assignments, then it is considered Unsatisfiable.
 | |
| 
 | |
| 
 | |
| #### More Information:
 | |
| 
 | |
| [Satisfiability explained - YouTube](https://www.youtube.com/watch?v=yo7aULLUz_0)
 |