Talk:Higher-order abstract syntax

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Structure of the article

I have just restructured the article using the current text only (no additions or removals), but it is still not optimal. I have named the first section Relation to first-order abstract syntax, but it has two purposes:

define higher-order abstract syntax
show how it relates to first-order abstract syntax

I think it is better to split these concepts. -- eboy 16:43, 11 October 2006 (UTC)[reply]

Use in logical frameworks

I think the first sentence of this section is overly broad. Simply using metalevel binders for object level binding isn't sufficient to classify as "higher-order abstract syntax". For instance, this metalevel binding technique is used widely in nominal term embeddings, yet nominal embeddings are first-order, not higher-order.

In fact, the article doesn't make clear what, to me, is the defining feature of HOAS and what sets HOAS apart from nominal embeddings and de Bruijn levels: the use of function spaces for modeling binding. You have to scroll three quarters of the article length until you come to some hint as to why HOAS includes "higher-order" in the name. DPMulligan (talk) 10:12, 14 May 2010 (UTC)[reply]

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