References

  1. Tobias Fritz & Paolo Perrone (2018): A Criterion for Kan Extensions of Lax Monoidal Functors. arXiv eprint 1809.10481 [math.CT], doi:10.48550/arXiv.1809.10481.
  2. Soichiro Fujii, Shin-ya Katsumata & Paul-André Melliès (2016): Towards a Formal Theory of Graded Monads. In: Bart Jacobs & Christof Löding: Proc. of 19th Int. Conf. on Foundations of Software Science and Computation Structures, FoSSaCS 2016, Lect. Notes in Comput. Sci. 9634. Springer, Cham, pp. 513–530, doi:10.1007/978-3-662-49630-5_30.
  3. Ohad Kammar & Dylan McDermott (2018): Factorisation Systems for Logical Relations and Monadic Lifting in Type-and-Effect System Semantics. Electron. Notes Theor. Comput. Sci. 341, pp. 239–260, doi:10.1016/j.entcs.2018.11.012.
  4. Shin-ya Katsumata (2014): Parametric Effect Monads and Semantics of Effect Systems. In: Proc. of 41st Ann. ACM SIGPLAN-SIGACT Symp. on Principles of Programming Languages, POPL '14. ACM, New York, pp. 633–646, doi:10.1145/2535838.2535846.
  5. Shin-ya Katsumata, Dylan McDermott, Tarmo Uustalu & Nicolas Wu (2022): Flexible Presentations of Graded Monads. Proc. ACM Program. Lang. 6(ICFP), pp. 123:1–123:29, doi:10.1145/3547654.
  6. G. Max Kelly (1992): On Clubs and Data-Type Constructors. In: Michael P. Fourman, Peter T. Johnstone & Andrew M. Pitts: Applications of Categories in Computer Science, London. Math. Soc. Lect. Note Series 177. Cambridge Univ. Press, pp. 163–190, doi:10.1017/cbo9780511525902.010.
  7. Stephen Lack & Ross Street (2014): Triangulations, Orientals, and Skew Monoidal Categories. Adv. Math. 258, pp. 351–396, doi:10.1016/j.aim.2014.03.003.
  8. John M. Lucassen & David K. Gifford (1988): Polymorphic Effect Systems. In: Proc. of 15th ACM SIGPLAN-SIGACT Symp. on Principles of Programming Languages, POPL '88. ACM, New York, pp. 47–57, doi:10.1145/73560.73564.
  9. Dylan McDermott, Maciej Piróg & Tarmo Uustalu (2020): Degrading Lists. In: Proc. of 22nd Int. Symp. on Principles and Practice of Declarative Programming, PPDP '20. ACM, New York, pp. 6:1–6:14, doi:10.1145/3414080.3414084.
  10. Paul-André Melliès (2012): Parametric Monads and Enriched Adjunctions. Manuscript. Available at https://www.irif.fr/~mellies/tensorial-logic/8-parametric-monads-and-enriched-adjunctions.pdf.
  11. Eugenio Moggi (1989): Computational Lambda-Calculus and Monads. In: Proc. of 4th Ann. Symp. on Logic in Computer Science, LICS '89. IEEE Press, Los Alamitos, CA, pp. 14–23, doi:10.1109/lics.1989.39155.
  12. Gordon Plotkin & John Power (2003): Algebraic Operations and Generic Effects. Appl. Categ. Struct. 11, pp. 69–94, doi:10.1023/a:1023064908962.
  13. Alexander Smirnov (2008): Graded Monads and Rings of Polynomials. J. Math. Sci. 151, pp. 3032–3051, doi:10.1007/s10958-008-9013-7.
  14. Kornel Szlachányi (2012): Skew-Monoidal Categories and Bialgebroids. Adv. Math. 231(3–4), pp. 1694–1730, doi:10.1016/j.aim.2012.06.027.

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