15-816 Modal Logic
Lecture 1: Judgments and Propositions

In this lecture we provide an overview of the course and develop some key notions from the foundation of logic that will be used throughout the course.

  • Reading: 01-judgments.pdf
  • Key concepts:
    • Judgments and propositions
    • Introduction and elimination rules
    • Hypothetical judgments
    • Substitution principle
    • Natural deduction
    • Harmony
    • Local soundness and completeness
    • Local reduction and expansion
    • Verifications and uses
    • Notational definitions
  • Previous lecture: none
  • Next lecture: Proofs as Programs

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Frank Pfenning, André Platzer