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Monadic predicate logic theoremhood checker

  • Monadic predicate logic (with identity) is decidable (Löwenheim-Skolem 1915, or more conveniently Boolos, Burgess, and Jeffrey 2007, Ch. 21). This tool lets you can check whether a formula is a theorem. If it's not a theorem, you will be shown a counter-example.
  • You can run it in your browser.
  • Blog post discussing how to efficiently check validity.

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Check whether a formula in monadic predicate logic is a theorem.

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