The FAN principle and weak König's lemma in herbrandized second-order arithmetic-Reference-Cited by-同舟云学术

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The FAN principle and weak König's lemma in herbrandized second-order arithmetic

Published:2020-10 Issue:9 Volume:171 Page:102843
ISSN:0168-0072
Container-title:Annals of Pure and Applied Logic
language:en
Short-container-title:Annals of Pure and Applied Logic

Author:

Ferreira Fernando

Funder

Fundação para a Ciência e a Tecnologia

Publisher

Elsevier BV

Subject

Logic

Reference18 articles.

1. Gödel's functional (“Dialectica”) interpretation;Avigad,1998

2. A functional interpretation for nonstandard arithmetic;van den Berg;Ann. Pure Appl. Log.,2012

3. Fragments of Heyting arithmetic;Burr;J. Symb. Log.,2000

4. Proof interpretations and majorizability;Ferreira,2010

5. On some semi-constructive theories related to Kripke-Platek set theory;Ferreira,2017

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Herbrandized modified realizability;Archive for Mathematical Logic;2024-04-04

2. On Extracting Variable Herbrand Disjunctions;Studia Logica;2022-04-20

3. A parametrised functional interpretation of Heyting arithmetic;Annals of Pure and Applied Logic;2021-04

4. Weak König’s lemma in herbrandized classical second-order arithmetic;Portugaliae Mathematica;2020-12-22

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