Corpus ID: 236087488

Cobordisms and commutative categorial grammars

@article{Slavnov2021CobordismsAC,
  title={Cobordisms and commutative categorial grammars},
  author={Sergey Slavnov},
  journal={ArXiv},
  year={2021},
  volume={abs/2107.08728}
}
We propose a concrete surface representation of abstract categorial grammars in the category of word cobordisms or cowordisms for short, which are certain bipartite graphs decorated with words in a given alphabet, generalizing linear logic proof-nets. We also introduce and study linear logic grammars, directly based on cobordisms and using classical multiplicative linear logic as a typing system. 
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