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Datatypes and (Co)Inductive Definitions in Isabelle/HOL
(* Title: HOLCF/pcpo.thy
ID: $Id$
Author: Franz Regensburger
Copyright 1993 Technische Universitaet Muenchen
Definition of class pcpo (pointed complete partial order)
The prototype theory for this class is porder.thy
*)
Pcpo = Porder +
(* Introduction of new class. The witness is type void. *)
classes pcpo < po
(* default class is still term *)
(* void is the prototype in pcpo *)
arities void :: pcpo
consts
UU :: "'a::pcpo" (* UU is the least element *)
rules
(* class axioms: justification is theory Porder *)
minimal "UU << x" (* witness is minimal_void *)
cpo "is_chain(S) ==> ? x. range(S) <<| (x::('a::pcpo))"
(* witness is cpo_void *)
(* needs explicit type *)
(* instance of UU for the prototype void *)
inst_void_pcpo "(UU::void) = UU_void"
end