Mathematical Foundations of Computer Science: Propositional and Predicate Calculus
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Questions and Answers

What is the theory used for inference in statement calculus?

  • Theory of Indirect Proof (correct)
  • Theory of Equivalence
  • Theory of Consistency
  • Theory of Tautologies
  • What is the principle used to calculate the number of elements in the union of sets and their intersection?

  • Principle of Symmetry
  • Principle of Inclusion-Exclusion (correct)
  • Principle of Transitivity
  • Principle of Complement
  • What type of functions have an inverse that is also a function?

  • Bijective Functions (correct)
  • Recursive Functions
  • Surjective Functions
  • Injective Functions
  • Which algebraic structure has a binary operation that is associative but not necessarily commutative?

    <p>Monoid</p> Signup and view all the answers

    What theorem states that every integer greater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors?

    <p>The Fundamental Theorem of Arithmetic</p> Signup and view all the answers

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