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LINGUISTIX&LOGIK, Tony Marmo's blog
Sunday, 26 September 2004

Topic: GENERAL LOGIC

On the Notion of Substitution



Marcel Crabbe

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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Posted by Tony Marmo at 01:01 BST
Updated: Saturday, 25 September 2004 07:25 BST

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