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} }
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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