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arxiv: 1709.02167 · v1 · pith:MFU5EULLnew · submitted 2017-09-07 · 🧮 math.LO

Bilattice Logic Properly Displayed

classification 🧮 math.LO
keywords bilatticedisplaylogicmulti-typeappliesbilatticesbuildscalculi
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We introduce a proper multi-type display calculus for bilattice logic (with conflation) for which we prove soundness, completeness, conservativity, standard subformula property and cut-elimination. Our proposal builds on the product representation of bilattices and applies the guidelines of the multi-type methodology in the design of display calculi.

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