A Verified Decision Procedure for Orders in Isabelle/HOL

@inproceedings{Stevens2021AVD,
  title={A Verified Decision Procedure for Orders in Isabelle/HOL},
  author={Lukas Stevens and Tobias Nipkow},
  booktitle={ATVA},
  year={2021}
}
We present the first verified implementation of a decision procedure for the quantifier-free theory of partial and linear orders. We formalise the procedure in Isabelle/HOL and provide a specification that is made executable using Isabelle’s code generator. The procedure is already part of the development version of Isabelle as a sub-procedure of the simplifier. 

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