|  |  | @ -0,0 +1,24 @@ | 
			
		
	
		
			
				
					|  |  |  | // Knuth's model of a fair die using only fair coins | 
			
		
	
		
			
				
					|  |  |  | dtmc | 
			
		
	
		
			
				
					|  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  | module die | 
			
		
	
		
			
				
					|  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  | 	// local state | 
			
		
	
		
			
				
					|  |  |  | 	s : [0..7] init 0; | 
			
		
	
		
			
				
					|  |  |  | 	// value of the dice | 
			
		
	
		
			
				
					|  |  |  | 	d : [0..6] init 0; | 
			
		
	
		
			
				
					|  |  |  | 	 | 
			
		
	
		
			
				
					|  |  |  | 	[] s=0 -> 0.5 : (s'=1) + 0.5 : (s'=2); | 
			
		
	
		
			
				
					|  |  |  | 	[] s=1 -> 0.5 : (s'=3) + 0.5 : (s'=4); | 
			
		
	
		
			
				
					|  |  |  | 	[] s=2 -> 0.5 : (s'=5) + 0.5 : (s'=6); | 
			
		
	
		
			
				
					|  |  |  | 	[] s=3 -> 0.5 : (s'=1) + 0.5 : (s'=7) & (d'=1); | 
			
		
	
		
			
				
					|  |  |  | 	[] s=4 -> 0.5 : (s'=7) & (d'=2) + 0.5 : (s'=7) & (d'=3); | 
			
		
	
		
			
				
					|  |  |  | 	[] s=5 -> 0.5 : (s'=7) & (d'=4) + 0.5 : (s'=7) & (d'=5); | 
			
		
	
		
			
				
					|  |  |  | 	[] s=6 -> 0.5 : (s'=2) + 0.5 : (s'=7) & (d'=6); | 
			
		
	
		
			
				
					|  |  |  | 	[] s=7 -> 1: (s'=7); | 
			
		
	
		
			
				
					|  |  |  | 	 | 
			
		
	
		
			
				
					|  |  |  | endmodule | 
			
		
	
		
			
				
					|  |  |  | 
 | 
			
		
	
		
			
				
					|  |  |  | rewards "coin_flips" | 
			
		
	
		
			
				
					|  |  |  | 	[] s<7 : 1; | 
			
		
	
		
			
				
					|  |  |  | endrewards |