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arxiv: 1503.08744 · v2 · pith:DUFR4VYFnew · submitted 2015-03-30 · 🧮 math.LO · cs.LO

Propositional Calculus in Coq

classification 🧮 math.LO cs.LO
keywords calculusdeductionnaturalpropositionalsequenttheoremsassistantclassical
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I formalize important theorems about classical propositional logic in the proof assistant Coq. The main theorems I prove are (1) the soundness and completeness of natural deduction calculus, (2) the equivalence between natural deduction calculus, Hilbert systems and sequent calculus and (3) cut elimination for sequent calculus.

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