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authorManuel Palenzuela <manuelpalenzuelamerino@gmail.com>2019-10-10 17:14:21 +0100
committerManuel Palenzuela <manuelpalenzuelamerino@gmail.com>2019-10-10 17:14:21 +0100
commitc073e7dc53915fa82703aff1a2f85417b50ee4bc (patch)
tree3ce7869df535316acd1654ba801ab6b050ca461b
parentBruh Init (diff)
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-rw-r--r--Maths/Prepositional_Formulas26
1 files changed, 15 insertions, 11 deletions
diff --git a/Maths/Prepositional_Formulas b/Maths/Prepositional_Formulas
index b0b25fd..4e8684c 100644
--- a/Maths/Prepositional_Formulas
+++ b/Maths/Prepositional_Formulas
@@ -130,14 +130,18 @@ d. (0 => (P A Q)) and (P V Q) = 1st follows from 2nd
 
 B = Bob says truth
 A = Alice says truth
-C = Carol says truth
-
-    B   A   C       !B => !C     A A C     !A A !B
-    1   1   1           1          1          0                    
-    1   1   0           1          0          0  
-    1   0   0           1          0          0
-    0   0   0           1          0          1         
-    0   0   1           0          0          1
-    0   1   0           1          0          0
-    1   0   1           0          0          0
-    0   1   1           0          1          0
+C = Carol says truth            
+                                    
+    B   A   C       !B => !C      !(!A A !C)          !A A !B     Contradiction
+    1   1   1           1             1                  0              x      
+    1   1   0           1             1                  0              *   
+    1   0   0           1             0                  0              x
+    0   0   0           1             0                  1              x
+    0   0   1           0             1                  1              x
+    0   1   0           1             1                  0              x
+    1   0   1           1             1                  0              x
+    0   1   1           0             1                  0              x
+
+Bob = truth
+Alice = truth
+Carol = lie