Changes of HOLCF from Oscar Slotosch:
1. axclass instead of class
* less instead of
less_fun,
less_cfun,
less_sprod,
less_cprod,
less_ssum,
less_up,
less_lift
* @x.!y.x<<y instead of UUU instead of
UU_fun, UU_cfun, ...
* no witness type void needed (eliminated Void.thy.Void.ML)
* inst_<typ>_<class> derived as theorems
2. improved some proves on less_sprod and less_cprod
* eliminated the following theorems
Sprod1.ML: less_sprod1a
Sprod1.ML: less_sprod1b
Sprod1.ML: less_sprod2a
Sprod1.ML: less_sprod2b
Sprod1.ML: less_sprod2c
Sprod2.ML: less_sprod3a
Sprod2.ML: less_sprod3b
Sprod2.ML: less_sprod4b
Sprod2.ML: less_sprod4c
Sprod3.ML: less_sprod5b
Sprod3.ML: less_sprod5c
Cprod1.ML: less_cprod1b
Cprod1.ML: less_cprod2a
Cprod1.ML: less_cprod2b
Cprod1.ML: less_cprod2c
Cprod2.ML: less_cprod3a
Cprod2.ML: less_cprod3b
3. new classes:
* cpo<po,
* chfin<pcpo,
* flat<pcpo,
* derived: flat<chfin
to do: show instances for lift
4. Data Type One
* Used lift for the definition: one = unit lift
* Changed the constant one into ONE
5. Data Type Tr
* Used lift for the definition: tr = bool lift
* adopted definitions of if,andalso,orelse,neg
* only one theory Tr.thy,Tr.ML instead of
Tr1.thy,Tr1.ML, Tr2.thy,Tr2.ML
* reintroduced ceils for =TT,=FF
6. typedef
* Using typedef instead of faking type definitions
to do: change fapp, fabs from Cfun1 to Rep_Cfun, Abs_Cfun
7. adopted examples and domain construct to theses changes
These changes eliminated all rules and arities from HOLCF
(* Title: HOLCF/Porder0.thy
ID: $Id$
Author: Franz Regensburger
Copyright 1993 Technische Universitaet Muenchen
Definition of class porder (partial order)
*)
Porder0 = Nat +
(* first the global constant for HOLCF type classes *)
consts
"less" :: "['a,'a] => bool" (infixl "\\<sqsubseteq>\\<sqsubseteq>" 55)
axclass po < term
(* class axioms: *)
ax_refl_less "less x x"
ax_antisym_less "[|less x y; less y x |] ==> x = y"
ax_trans_less "[|less x y; less y z |] ==> less x z"
(* characteristic constant << on po *)
consts
"<<" :: "['a,'a::po] => bool" (infixl 55)
syntax (symbols)
"op <<" :: "['a,'a::po] => bool" (infixl "\\<sqsubseteq>" 55)
defs
po_def "(op <<) == less"
end