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A Direct Characterisation of Logical Grounds and a Decidability Proof

Published 27 Mar 2025 in math.LO | (2503.21264v1)

Abstract: We present a standard calculus for logical grounding based on well-established grounding principles [Schnieder, 2011, Fine, 2012, Correia, 2014, Correia, 2024] and provide a very direct characterisation of the provable grounding claims exclusively relying on the syntactic tree of the grounded formula. The technical features of the characterisation imply that the grounding relation induced by the calculus is decidable.

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