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Finitary PCF is not decidable


Author(s) : Ralph Loader, 
Publisher : N/A
Publication Date : 1996
ISSN : N/A
Abstract : The question of the decidability of the observational ordering of finitary PCF was raised [5] to give mathematical content to the full abstraction problem for PCF [9, 14]. We show that the ordering is in fact undecidable. This result places limits on how explicit a representation of the fully abstract model can be. It also gives a slight strengthening of the author?s earlier result on typed -definability [6].,