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A theory of rules for enumerated classes of functions

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Publication:1805407
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DOI10.1007/BF01269876zbMath0823.03005MaRDI QIDQ1805407

Andreas Schlüter

Publication date: 31 October 1995

Published in: Archive for Mathematical Logic (Search for Journal in Brave)


zbMATH Keywords

explicit mathematicsconstructive logicenumerating functioncomputable functionuniversal algorithmabstract Recursion Theoremmodification of combinatory logic


Mathematics Subject Classification ID

Applications of computability and recursion theory (03D80) Other constructive mathematics (03F65) Metamathematics of constructive systems (03F50) Combinatory logic and lambda calculus (03B40)


Related Items (3)

Effective applicative structures ⋮ On the proof theory of type two functionals based on primitive recursive operations ⋮ The non-constructive \(\mu\) operator, fixed point theories with ordinals, and the bar rule



Cites Work

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  • The lambda calculus, its syntax and semantics
  • Understanding uniformity in Feferman's explicit mathematics
  • A well-ordering proof for Feferman's theoryT 0
  • Partial Applicative Theories and Explicit Substitutions


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