Switch to: References

Add citations

You must login to add citations.
  1. Realizing Brouwer's sequences.Richard E. Vesley - 1996 - Annals of Pure and Applied Logic 81 (1-3):25-74.
    When Kleene extended his recursive realizability interpretation from intuitionistic arithmetic to analysis, he was forced to use more than recursive functions to interpret sequences and conditional constructions. In fact, he used what classically appears to be the full continuum. We describe here a generalization to higher type of Kleene's realizability, one case of which, -realizability, uses general recursive functions throughout, both to realize theorems and to interpret choice sequences. -realizability validates a version of the bar theorem and the usual continuity (...)
    Direct download (4 more)  
    Export citation  
    Bookmark   3 citations