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Models and theories of lambda calculus

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 نشر من قبل Giulio Manzonetto
 تاريخ النشر 2009
  مجال البحث الهندسة المعلوماتية
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 تأليف Giulio Manzonetto




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In this paper we briefly summarize the contents of Manzonettos PhD thesis which concerns denotational semantics and equational/order theories of the pure untyped lambda-calculus. The main research achievements include: (i) a general construction of lambda-models from reflexive objects in (possibly non-well-pointed) categories; (ii) a Stone-style representation theorem for combinatory algebras; (iii) a proof that no effective lambda-model can have lambda-beta or lambda-beta-eta as its equational theory (this can be seen as a partial answer to an open problem introduced by Honsell-Ronchi Della Rocca in 1984).



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