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In Logic in Computer Science, 1999. Proceedings. 14th Symposium on (1999), pp. 193-202, doi:10.1109/lics.1999.782615 Key: citeulike:8363441
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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
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