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Calculi for Many-Valued Logics

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We present a number of equivalent calculi for many-valued logics and prove soundness and strong completeness theorems. The calculi are obtained from the truth tables of the logic under consideration… Click to show full abstract

We present a number of equivalent calculi for many-valued logics and prove soundness and strong completeness theorems. The calculi are obtained from the truth tables of the logic under consideration in a straightforward manner and there is a natural duality among these calculi. We also prove the cut elimination theorems for the sequent-like systems.

Keywords: calculi many; valued logics; many valued

Journal Title: Logica Universalis
Year Published: 2021

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