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Abstract Syntax and Variable Binding (Extended Abstract)

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Abstract_Syn.pdf (199.9Kb)
Date
06/11/2003
Author
Fiore, Marcelo P
Plotkin, Gordon
Turi, Daniele
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Abstract
We develop a theory of abstract syntax with variable binding. To every binding signature we associate a category of models consisting of variable sets endowed with compatible algebra and substitution structures. The syntax generated by the signature is the initial model. This gives a notion of initial algebra semantics encompassing the traditional one; besides compositionality, it automatically veri- fies the semantic substitution lemma.
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http://hdl.handle.net/1842/221
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