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Limiting partial combinatory algebras

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Publication:1884934
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DOI10.1016/S0304-3975(03)00360-8zbMath1088.03012MaRDI QIDQ1884934

Yohji Akama

Publication date: 27 October 2004

Published in: Theoretical Computer Science (Search for Journal in Brave)


zbMATH Keywords

partial combinatory algebra\(\lambda\mu\)-calculuspartial equivalence relationrealizability interpretationlimiting recursive


Mathematics Subject Classification ID

Other algebras related to logic (03G25) Combinatory logic and lambda calculus (03B40)


Related Items

Realizability interpretation of PA by iterated limiting PCA



Cites Work

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  • The lambda calculus. Its syntax and semantics. Rev. ed.
  • Classical recursion theory. The theory of functions and sets of natural numbers
  • Infinite \(\lambda\)-calculus and types
  • Infinitary lambda calculus
  • Computable structures and the hyperarithmetical hierarchy
  • On proof terms and embeddings of classical substructural logics
  • Tripos theory
  • On the computational content of the axiom of choice
  • Classical logic, continuation semantics and abstract machines
  • Algebraically Generalized Recursive Function Theory
  • Limiting recursion
  • Uniformly Reflexive Structures: On the Nature of Godelizations and Relative Computability
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