Counterexamples to Conjectures About Subset Takeaway and Counting Linear Extensions of a Boolean Lattice

@article{Brouwer2018CounterexamplesTC,
  title={Counterexamples to Conjectures About Subset Takeaway and Counting Linear Extensions of a Boolean Lattice},
  author={Andries E. Brouwer and J. Daniel Christensen},
  journal={Order},
  year={2018},
  volume={35},
  pages={275-281}
}
We develop an algorithm for efficiently computing recursively defined functions on posets. We illustrate this algorithm by disproving conjectures about the game Subset Takeaway (Chomp on a hypercube) and computing the number of linear extensions of the lattice of a 7-cube and related lattices. 
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