1. Write the program to create a symbol proposition using at least 11 steps including 3 symbol downloads and at least 1 unary (negation) operation. Check if it is a logical law by considering all cases for each step of the program.. 2. Write your proposition in Polish form. 3. Find the normal form of conjunctions of disjunctions of the proposition to determine if it is a logical law. 4. Use the program "How to Convert from Polish Form" to convert into parenthesized form the following symbol proposition 5. Suppose you met three persons A, B, and C. Then A says "Only one of the others is telling the truth", B says " At least one of us is telling the truth", and C says "The other two are lying". Establish the proposition s describing this situation. Then, find logical values for all cases for three downloads to determine which person is telling the truth and which one is lying (if any)