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On the completeness of order-theoretic models of the \(\lambda \)-calculus

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Publication:1021569
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DOI10.1016/J.IC.2008.03.027zbMath1167.03013OpenAlexW1997705949MaRDI QIDQ1021569

Furio Honsell, Gordon D. Plotkin

Publication date: 8 June 2009

Published in: Information and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ic.2008.03.027


zbMATH Keywords

consistencycompletenessdomain theory\(\lambda \)-calculusMal'tsev operators


Mathematics Subject Classification ID

Continuous lattices and posets, applications (06B35) Combinatory logic and lambda calculus (03B40)


Related Items (1)

Unfixing the Fixpoint: The Theories of the λY-Calculus




Cites Work

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  • The lambda calculus. Its syntax and semantics. Rev. ed.
  • An approximation theorem for topological lambda models and the topological incompleteness of lambda calculus
  • A type-theoretical alternative to ISWIM, CUCH, OWHY
  • Order-incompleteness and finite lambda reduction models
  • On a question of H. Friedman
  • Applying Universal Algebra to Lambda Calculus
  • Lambda Theories of Effective Lambda Models
  • Topological incompleteness and order incompleteness of the lambda calculus




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