Paper: Extensional PERs (at LICS 1990)

Authors: Peter J. Freyd Philip Mulry Giuseppe Rosolini Dana S. Scott

Abstract

A search is conducted for a class of PERs (partial equivalence relations on the natural numbers) such that the resulting full subcategory has the expected properties of any good category of CPOs: it should be a CCC (Cartesian closed category) and every endomorphism should have a canonical fixed point. Moreover the reflection functor (usually called the lifting operation) should yield a good notion of partial map. The following topics are discussed: conventions, partial-map classifiers, ExPERS, ExPERS as domains, reflectivity of strict maps, multicorreflectivity of strict maps, the extensional natural numbers, domain equations, and intrinsic descriptions

BibTeX

  @InProceedings{FreydMulryRosoliniS-ExtensionalPERs,
    author = 	 {Peter J. Freyd and Philip Mulry and Giuseppe Rosolini and Dana S. Scott},
    title = 	 {Extensional PERs},
    booktitle =  {Proceedings of the Fifth Annual IEEE Symposium on Logic in Computer Science (LICS 1990)},
    year =	 {1990},
    month =	 {June}, 
    pages =      {346--354},
    location =   {Philadelphia, PA, USA}, 
    publisher =	 {IEEE Computer Society Press}
  }