References

  1. M. Abadi, L. Cardelli, P.-L. Curien & J.-J. Lévy (1991): Explicit substitutions. J. Funct. Programming 1(4), pp. 375–416, doi:10.1017/S0956796800000186.
  2. S. Abramsky (2007): Temperley-Lieb algebra: from knot theory to logic and computation via quantum mechanics. In: L. Kauffman & S.J. Lomonaco: Mathematics of Quantum Computing and Technology. Taylor&Francis, pp. 415–458, doi:10.1201/9781584889007.
  3. E. Artin (1925): Theorie der Zöpfe. Abh. Math. Sem. Univ. Hamburg 4, pp. 47–72, doi:10.1007/BF02950718.
  4. E. Artin (1947): Theory of braids. Ann. of Math. 48, pp. 101–126, doi:10.2307/1969218.
  5. A. Fleury (2003): Ribbon braided multiplicative linear logic. Mat. Contemp. 24, pp. 39–70.
  6. M. Hasegawa (2009): On traced monoidal closed categories. Mathematical Structures in Computer Science 19(2), pp. 217–244, doi:10.1017/S0960129508007184.
  7. M. Hasegawa (2012): A quantum double construction in Rel. Mathematical Structures in Computer Science 22(4), pp. 618–650, doi:10.1017/S0960129511000703.
  8. A. Joyal & R.H. Street (1993): Braided tensor categories. Adv. Math. 102(1), pp. 20–78, doi:10.1006/aima.1993.1055.
  9. C. Kassel & V.G. Turaev (2008): Braid Groups. Graduate Texts in Mathemtics 247. Springer-Verlag, doi:10.1007/978-0-387-68548-9.
  10. A. Kitaev (2003): Fault-tolerant quantum computation by anyons. Annals of Physics 303, pp. 3–20, doi:10.1016/S0003-4916(02)00018-0.
  11. P.-A. Melliès (2018): Ribbon tensorial logic. In: Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS2018). ACM, pp. 689–698, doi:10.1145/3209108.3209129.
  12. PRO in nLab. https://ncatlab.org/nlab/show/PRO.
  13. M.C. Shum (1994): Tortile tensor categories. J. Pure Appl. Algebra 93(1), pp. 57–110, doi:10.1016/0022-4049(92)00039-T.
  14. H. Tomita (2021): Realizability without symmetry. In: Proceedings of the 29th EACSL Annual Conference on Computer Science Logic (CSL2021), LIPIcs 183, pp. 38:1–38:16, doi:10.4230/LIPIcs.CSL.2021.38.
  15. V.G. Turaev (1994): Quantum Invariants of Knots and 3-Manifolds. Studies in Mathematics 18. De Gruyter, doi:10.1515/9783110435221.
  16. D. Verdon (2017): Coherence for braided and symmetric pseudomonoids. Available at https://arxiv.org/abs/1705.09354.
  17. J.H.C. Whitehead (1949): Combinatorial homotopy, II. Bulletin of the American Mathematical Society 55, pp. 453–496, doi:10.1090/S0002-9904-1949-09213-3.
  18. N. Zeilberger & A. Giorgetti (2015): A correspondence between rooted planar maps and normal planar lambda terms. Logical Methods in Computer Science 11(3), pp. 1–39, doi:10.2168/LMCS-11(3:22)2015.

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