Structuring Logic with Sequent Calculus
Structuring Logic with Sequent Calculus
Structuring Logic with Sequent Calculus
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LL <strong>Sequent</strong> <strong>Calculus</strong><br />
<strong>Logic</strong>al Rules:<br />
⊢ F , G, Γ<br />
⊢ F G, Γ ⊢ F , Γ ⊢ G, ∆<br />
⊢ F ⊗ G, Γ, ∆<br />
⊗<br />
⊢ F , Γ ⊢ G, Γ<br />
⊢ F G, Γ<br />
<br />
⊢ F , Γ<br />
⊢ F ⊕ G, Γ ⊕1<br />
⊢ G, Γ<br />
⊢ F ⊕ G, Γ ⊕2<br />
⊢ 1 1<br />
⊢ Γ<br />
⊢ ⊥, Γ ⊥<br />
⊢ ⊤, Γ ⊤<br />
⊢ F , Γ<br />
⊢?F , Γ ? ⊢ F , ?Γ<br />
⊢!F , ?Γ !<br />
⊢ Γ<br />
⊢?F , Γ ?W<br />
⊢?F , ?F , Γ<br />
⊢?F , Γ<br />
?C<br />
Alexis Saurin – ENS Paris & École Polytechnique & CMI <strong>Structuring</strong> <strong>Logic</strong> <strong>with</strong> <strong>Sequent</strong> <strong>Calculus</strong>