Recursion Theoretic Operators and Morphisms on Numbered Sets

An operator is a map ?: Pω->Pω. By embedding Pω in two natural ways into the λ-calculus model Pω^2 (and T^ω) the computable maps on this latter structure induce several classes of recursion theoretic operators.

Bibliographic Details
Main Authors: Barendregt, Henk, Longo, Giuseppe
Published: 2023
Online Access:https://hdl.handle.net/1721.1/149005
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author Barendregt, Henk
Longo, Giuseppe
author_facet Barendregt, Henk
Longo, Giuseppe
author_sort Barendregt, Henk
collection MIT
description An operator is a map ?: Pω->Pω. By embedding Pω in two natural ways into the λ-calculus model Pω^2 (and T^ω) the computable maps on this latter structure induce several classes of recursion theoretic operators.
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institution Massachusetts Institute of Technology
last_indexed 2024-09-23T14:56:55Z
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spelling mit-1721.1/1490052023-03-30T03:20:10Z Recursion Theoretic Operators and Morphisms on Numbered Sets Barendregt, Henk Longo, Giuseppe An operator is a map ?: Pω->Pω. By embedding Pω in two natural ways into the λ-calculus model Pω^2 (and T^ω) the computable maps on this latter structure induce several classes of recursion theoretic operators. 2023-03-29T14:18:38Z 2023-03-29T14:18:38Z 1981-02 https://hdl.handle.net/1721.1/149005 7729206 MIT-LCS-TM-194 application/pdf
spellingShingle Barendregt, Henk
Longo, Giuseppe
Recursion Theoretic Operators and Morphisms on Numbered Sets
title Recursion Theoretic Operators and Morphisms on Numbered Sets
title_full Recursion Theoretic Operators and Morphisms on Numbered Sets
title_fullStr Recursion Theoretic Operators and Morphisms on Numbered Sets
title_full_unstemmed Recursion Theoretic Operators and Morphisms on Numbered Sets
title_short Recursion Theoretic Operators and Morphisms on Numbered Sets
title_sort recursion theoretic operators and morphisms on numbered sets
url https://hdl.handle.net/1721.1/149005
work_keys_str_mv AT barendregthenk recursiontheoreticoperatorsandmorphismsonnumberedsets
AT longogiuseppe recursiontheoreticoperatorsandmorphismsonnumberedsets