Functional Interpretation and Modified Realizability Interpretation of ...
Functional Interpretation and Modified Realizability Interpretation of ...
Functional Interpretation and Modified Realizability Interpretation of ...
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¥¤'&¦¥¤'&¦¥¤'&¥ ¥¥ ¡¦¡ ¤¤(¤(¡¡ <strong>Modified</strong> <strong>Realizability</strong> <strong>and</strong> DNSFor finite DNS input is:From the above pro<strong>of</strong> <strong>of</strong> finite DNS, one obtains thefollowing realizer:However, the extension <strong>of</strong> this idea to the infinite settingrequires a form <strong>of</strong> bar-recursion even stronger than MBR<strong>and</strong> not even ineffectively majorizable.<strong>Functional</strong> <strong>Interpretation</strong> <strong>and</strong> <strong>Modified</strong> <strong>Realizability</strong> <strong>Interpretation</strong> <strong>of</strong> the Double-Negation Shift – p. 15/1