Abstract Syntax and Variable Binding

  • Authors:
  • Marcelo Fiore;Gordon Plotkin;Daniele Turi

  • Affiliations:
  • -;-;-

  • Venue:
  • LICS '99 Proceedings of the 14th Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 1999

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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 verifies the semantic substitution lemma.