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Nathanael Arkor, Marcelo Fiore, Algebraic models of simple type theories: a polynomial approach, Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science, July 2020, Pages 88-101 (doi:10.1145/3373718.3394771, arXiv:2006.16949)
On linear logic:
On higher-order abstract syntax:
Marcelo Fiore, Gordon Plotkin, Daniele Turi. Abstract syntax and variable binding, Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158). IEEE (1999) [[doi:10.1109/LICS.1999.782615](https://doi.org/10.1109/LICS.1999.782615), pdf, webpage]
Marcelo Fiore, Chung-Kil Hur. Second-order equational logic, International Workshop on Computer Science Logic. Springer, Lecture Notes in Computer Science 6247 (2010) [[doi:10.1007/978-3-642-15205-4_26](https://doi.org/10.1007/978-3-642-15205-4_26), pdf]
On quotient types, inductive types and inductive-inductive types:
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