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Handling Inconsistency in Monotonic Logics

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A General Framework for Reasoning On Inconsistency

Part of the book series: SpringerBriefs in Computer Science ((BRIEFSCOMPUTER))

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Abstract

We consider several monotonic logics and show how our framework is well-suited to handle inconsistency in them. It is particularly important to note that reasoning about inconsistency in many of these logics has not been studied before. As a consequence, our general framework for reasoning about inconsistency is not only novel, but it also yields new algorithms and new results for such reasoning in existing logics.

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Notes

  1. 1.

    Note that a definite clause is a Horn clause where exactly one L i is positive. It is well known that any set of definite clauses is always consistent.

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Martinez, M.V., Molinaro, C., Subrahmanian, V.S., Amgoud, L. (2013). Handling Inconsistency in Monotonic Logics. In: A General Framework for Reasoning On Inconsistency. SpringerBriefs in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6750-2_4

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  • DOI: https://doi.org/10.1007/978-1-4614-6750-2_4

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6749-6

  • Online ISBN: 978-1-4614-6750-2

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