On the Notion of Substitution

@article{Crabb2004OnTN,
  title={On the Notion of Substitution},
  author={Marcel Crabb{\'e}},
  journal={Log. J. IGPL},
  year={2004},
  volume={12},
  pages={111-124}
}
  • M. Crabbé
  • Published 1 March 2004
  • Economics
  • Log. J. IGPL
We consider a concept of substitutive structure, called "logos", in order to study simple substitution, independently of formal or programming languages. We provide a definition of simultaneous substitution in an arbitrary logos and use it to prove a completeness theorem expressing that the equational properties of the usual substitution can be proved from the logos axioms only. 

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