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Computational Hardness of Validity in Probability Logic

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Logical Foundations of Computer Science (LFCS 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7734))

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Abstract

We consider the complexity of validity in ε-logic, a probability logic introduced by Terwijn. We prove that the set of valid formulas is \(\mathrm{\Pi}^1_1\)-hard, improving a previous undecidability result by Terwijn.

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Kuyper, R. (2013). Computational Hardness of Validity in Probability Logic. In: Artemov, S., Nerode, A. (eds) Logical Foundations of Computer Science. LFCS 2013. Lecture Notes in Computer Science, vol 7734. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35722-0_18

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  • DOI: https://doi.org/10.1007/978-3-642-35722-0_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35721-3

  • Online ISBN: 978-3-642-35722-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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