Brett McLean

Postdoc (supervised by Mai Gehrke)

Duality in Formal Languages and Logic
Laboratoire J. A. Dieudonné
Université Nice Sophia Antipolis

Publications and preprints

  1. A categorical duality for algebras of partial functions

  2. Free Kleene algebras with domain

  3. The temporal logic of two-dimensional Minkowski spacetime with slower-than-light accessibility is decidable (with Robin Hirsch)
    Advances in Modal Logic, vol. 12, College Publications, 2018.

  4. Disjoint-union partial algebras (with Robin Hirsch)
    Logical Methods in Computer Science 13 (2017), no. 2:10, 1–31.

  5. Algebras of multiplace functions for signatures containing antidomain arXiv
    Algebra Universalis 78 (2017), no. 2, 215–248.

  6. The finite representation property for composition, intersection, domain and range (with Szabolcs Mikulás) arXiv [previously]
    International Journal of Algebra and Computation 26 (2016), no. 6, 1199–1216.

  7. Complete representation by partial functions for composition, intersection and antidomain arXiv
    Journal of Logic and Computation 27 (2017), no.4, 1143–1156.

PhD thesis