15317 Constructive Logic
Lecture 2: Natural Deduction
We define the meaning of the usual connectives
of propositional logic (conjunction, implication, disjunction) by
rules that allow us to infer when they should be true, socalled
introduction rules. From these, we derive rules for the use of
propositions, socalled elimination rules. The resulting
system of natural deduction is the foundation of intuitionistic
logic which has direct connections to functional programming and logic
programming.
 Reading: 02natded.pdf
 Key concepts:
 Judgment
 Proposition
 Truth
 Inference rule
 Premise
 Conclusion
 Introduction rule
 Elimination rule
 Hypothetical judgment
 Substitution principle
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Frank Pfenning
