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CS1001

CS1001. Lecture 21. Overview. Projects Predicate Logic. Goals. Learn some predicate logic. Assignments. Brookshear: Chapter 11 Read linked documents on these slides (slides will be posted in courseworks). Induction. A formal proof technique Prove a ground case

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CS1001

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  1. CS1001 Lecture 21

  2. Overview • Projects • Predicate Logic

  3. Goals • Learn some predicate logic

  4. Assignments • Brookshear: Chapter 11 • Read linked documents on these slides (slides will be posted in courseworks)

  5. Induction • A formal proof technique • Prove a ground case • Prove every case “one more” than some case is also true (prove n+1 assuming n)

  6. Propositional Logic • Symbols (variables holding true/false) • Operators • Key Point: The logic system does not rely on the actual values inside the variables. You can reason without knowing the actual values (like an algorithm) • A and B -> A

  7. Logic Rules • There are a number of rules for introducing/removing • Core operators: And, Or, Not, Implies

  8. A Puzzle Introduction (Smullyan) • There are two casket makers, Bellini and Cellini • All Bellini caskets have true inscriptions • All Cellini caskets have false inscriptions

  9. A Puzzle (Smullyan)

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