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General Recursive Realizability and Basic Logic

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The notion of general recursive realizability is defined based on using indices of general recursive functions as a constructive way of obtaining some realizations from others. The soundness of basic… Click to show full abstract

The notion of general recursive realizability is defined based on using indices of general recursive functions as a constructive way of obtaining some realizations from others. The soundness of basic logic with respect to the semantics of general recursive realizability is proved.

Keywords: realizability basic; recursive realizability; general recursive; logic general; basic logic

Journal Title: Algebra and Logic
Year Published: 2020

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