Improve documentation for truth table generator

diff --git a/Math/Truth table calculator/doc/index.org b/Math/Truth table calculator/doc/index.org
index d912db2..58783bd 100644 (file)
--- a/Math/Truth table calculator/doc/index.org
+++ b/Math/Truth table calculator/doc/index.org
@@ -15,35 +15,78 @@ based on all possible combinations of inputs. Each row represents a possible sta
 the input variables, with the corresponding output value. Truth tables are crucial in
 designing and understanding digital circuits, Boolean algebra, and logical expressions.
 
-Basic components:
-- Inputs: Represent the variables (e.g., A, B).
-- Outputs: Results based on the logical operation of the inputs.
+* Implemented logical operations
 
-Example for AND (A AND B):
+** Equivalent ( ⇔ , 1 )
 
-| A | B | A AND B |
-|---+---+---------|
-| T | T | T       |
-| T | F | F       |
-| F | T | F       |
+The equivalent operation, also known as logical biconditional, is true if and only if
+both inputs are the same. In other words, it asserts that both propositions are
+either both true or both false. It is often represented by the symbol *⇔*.
 
-* Implemented logical operations
-** Equivalent ( ⇔ , 1 )
-- True if both inputs are the same.
-- False if the inputs are different.
+Truth Table:
+
+| A | B | A ⇔ B |
+|---+---+-------|
+| T | T | T     |
+| T | F | F     |
+| F | T | F     |
+| F | F | T     |
 
 ** Implies ( ⇒ , 2 )
-- True if the first input implies the second.
-- False if the first is true and the second is false.
+
+An implication asserts that if the first proposition is true, the
+second must be true as well. If the first is false, the implication
+holds regardless of the second proposition's value.
+
+Truth table:
+
+| A | B | A ⇒ B |
+|---+---+-------|
+| T | T | T     |
+| T | F | F     |
+| F | T | T     |
+| F | F | T     |
+
 
 ** OR ( ∨ , 3 )
-- True if at least one input is true.
-- False if both inputs are false.
+
+The OR operation, also known as logical disjunction, is true if at
+least one of the inputs is true. It asserts that if either proposition
+is true, the entire expression is true.
+
+Truth table:
+
+| A | B | A ∨ B |
+|---+---+-------|
+| T | T | T     |
+| T | F | T     |
+| F | T | T     |
+| F | F | F     |
 
 ** AND ( ∧ , 4 )
-- True if both inputs are true.
-- False otherwise.
+
+The AND operation, also known as logical conjunction, is true if and
+only if both inputs are true.
+
+Truth table:
+
+| A | B | A ∧ B |
+|---+---+-------|
+| T | T | T     |
+| T | F | F     |
+| F | T | F     |
+| F | F | F     |
+
 
 ** NOT ( ¬ , 5 )
-- Inverts the value of the input.
-- True becomes false, and false becomes true.
+
+The NOT operation, also known as logical negation, inverts the value
+of the input. If the input is true, the output is false, and vice
+versa.
+
+Truth Table:
+
+| A | ¬A |
+|---+----|
+| T | F  |
+| F | T  |