<p>We demonstrate how a generic automated theorem prover can be applied to establish the non-orderability of groups. Our approach incorporates various tools such as reasoning from the first principles, positive cones, torsions, generalised torsions and cofinal elements.</p>

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Automated reasoning for proving non-orderability of groups

  • Alexei Lisitsa,
  • Zipei Nie,
  • Alexei Vernitski

摘要

We demonstrate how a generic automated theorem prover can be applied to establish the non-orderability of groups. Our approach incorporates various tools such as reasoning from the first principles, positive cones, torsions, generalised torsions and cofinal elements.