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Labelled Sequent Calculus for Inquisitive Logic

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Abstract

A contraction-free and cut-free labelled sequent calculus \(\mathsf {GInqL}\) for inquisitive logic is established. Labels are defined by a set-theoretic syntax. The completeness of \(\mathsf {GInqL}\) is shown by the equivalence between the Hilbert-style axiomatic system and sequent system.

M. Ma—The work is supported by Chinese national foundation of social sciences (grant no. 16CZX049).

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Correspondence to Jinsheng Chen .

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Chen, J., Ma, M. (2017). Labelled Sequent Calculus for Inquisitive Logic. In: Baltag, A., Seligman, J., Yamada, T. (eds) Logic, Rationality, and Interaction. LORI 2017. Lecture Notes in Computer Science(), vol 10455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55665-8_36

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  • DOI: https://doi.org/10.1007/978-3-662-55665-8_36

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  • Publisher Name: Springer, Berlin, Heidelberg

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