A Representation Theorem for Unique Decomposition Categories

@article{Hoshino2012ART,
  title={A Representation Theorem for Unique Decomposition Categories},
  author={Naohiko Hoshino},
  journal={Electr. Notes Theor. Comput. Sci.},
  year={2012},
  volume={286},
  pages={213-227}
}
Haghverdi introduced the notion of unique decomposition categories as a foundation for categorical study of Girard’s Geometry of Interaction (GoI). The execution formula in GoI provides a semantics of cut-elimination process, and we can capture the execution formula in every unique decomposition category: each hom-set of a unique decomposition category comes equipped with a partially defined countable summation, which captures the countable summation that appears in the execution formula. The… CONTINUE READING

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