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src/HOLCF/Pcpo.thy
author nipkow
Fri, 04 Apr 1997 16:33:28 +0200
changeset 2912 3fac3e8d5d3e
parent 2640 ee4dfce170a0
child 3326 930c9bed5a09
permissions -rw-r--r--
moved inj and surj from Set to Fun and Inv -> inv.

(*  Title:      HOLCF/Pcpo.thy
    ID:         $Id$
    Author:     Franz Regensburger
    Copyright   1993 Technische Universitaet Muenchen

introduction of the classes cpo and pcpo 
*)
Pcpo = Porder +

(* The class cpo of chain complete partial orders *)
(* ********************************************** *)
axclass cpo < po
        (* class axiom: *)
  cpo   "is_chain S ==> ? x. range(S) <<| (x::'a::po)" 

(* The class pcpo of pointed cpos *)
(* ****************************** *)
axclass pcpo < cpo

  least         "? x.!y.x<<y"

consts
  UU            :: "'a::pcpo"        

syntax (symbols)
  UU            :: "'a::pcpo"                           ("\\<bottom>")

defs
  UU_def        "UU == @x.!y.x<<y"       

end
isabelle