(a) Discuss the primary differences between Finite Automata, Push-Down Automata, and Turing Machines as far as models of computation are concerned. (b) State Turing's Thesis (also known as The Church-Turing Thesis) and explain its meaning. (c) What does it mean for a language to be ambiguous and inherently ambiguous? Give an example of an inherently ambiguous language.

Assume you are given a sequent XF A in Propositional Logic and you are able to derive, using Natural Deduction, both some formula B from X as well as its negation ¬B. Assume that the rule RAA is not available to you, otherwise all Natural Deduction rules we taught can be used. • Can you infer any property (satisfiable, unsatisfiable, tautology) of the formula A1 A... A An, provided X = {A1,..., An}? • Can you say anything about the validity of the sequent? Does its validity depend on which formula A represents? • In which way does the fact that we don't have RAA available influence your response?

Time Input (number) O(n)

Only typed answer please... don't attach pictures... please help me ... not sure if my values are correct if yall could look through and correct me please I would appreciate it !