The Cayley-Dickson Construction in ACL2

@inproceedings{Cowles2017TheCC,
  title={The Cayley-Dickson Construction in ACL2},
  author={J. Cowles and Ruben Gamboa},
  booktitle={ACL2},
  year={2017}
}
The Cayley-Dickson Construction is a generalization of the familiar construction of the complex numbers from pairs of real numbers. The complex numbers can be viewed as two-dimensional vectors equipped with a multiplication. The construction can be used to construct, not only the two-dimensional Complex Numbers, but also the four-dimensional Quaternions and the eight-dimensional Octonions. Each of these vector spaces has a vector multiplication, v_1*v_2, that satisfies: 1. Each nonzero vector… Expand

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