MAT2440 – Ganguli – Spring 2022

Discrete Structures & Algorithms

Page 10 of 11

Class 4 Agenda (Wed Feb 9)

Topics

  • Sec 1.3: Propositional Equivalences
    • definitions of tautology, contradiction, logical equivalence
    • important logical equivalences (Tables 1-8): De Morgan’s Laws, distributive/associative/commutative laws, implication
    • satisfiability (considered as an algorithmic question)

To-Do After Class

  • Continue reading the textbook(s) and slides:
    • Rosen: Section 1.3
    • Levin: Section 3.1 (“Propositional Logic”)
  • Finish HW1 (updated with Sec 1.3 exercises)
    • due Monday (Feb 14) – hand in written solutions
    • see Files (“Rosen exercises” folder) for pdf extracts with textbook exercises

Class 3 Agenda (Mon Feb 7)

Topics

  • Finish basics of propositional logic (Sec 1.1)
    • truth tables of compound propositions (Sec 1.1.4)
    • examples similar to HW1 exercises
  • Quick overview of applications of propositional logic (Sec 1.2)
    • focus on “logic circuits” (Sec 1.2.6)
  • Start Sec 1.3: Logical Equivalence

To-Do During/After Class

  • Continue reading the textbook(s) and slides:
    • Rosen: Section 1.1-1.3
    • Levin: Section 3.1 (“Propositional Logic”)
  • Continue working on HW1!

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