Mīmāṃsā Deontic Logic: Proof Theory and Applications

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Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9323))

Abstract

Starting with the deontic principles in Mīmāṃsā texts we introduce a new deontic logic. We use general proof-theoretic methods to obtain a cut-free sequent calculus for this logic, resulting in decidability, complexity results and neighbourhood semantics. The latter is used to analyse a well known example of conflicting obligations from the Vedas.

Supported by FWF START project Y544-N23, FWF project V400 and EU H2020-MSCA grant 660047.

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Correspondence to Agata Ciabattoni .

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Ciabattoni, A., Freschi, E., Genco, F.A., Lellmann, B. (2015). Mīmāṃsā Deontic Logic: Proof Theory and Applications. In: De Nivelle, H. (eds) Automated Reasoning with Analytic Tableaux and Related Methods. TABLEAUX 2015. Lecture Notes in Computer Science(), vol 9323. Springer, Cham. https://doi.org/10.1007/978-3-319-24312-2_22

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  • DOI: https://doi.org/10.1007/978-3-319-24312-2_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-24311-5

  • Online ISBN: 978-3-319-24312-2

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