obsolete;
authorwenzelm
Mon, 12 May 1997 14:24:57 +0200
changeset 3155 85c43ea848dd
parent 3154 6e20bf579edb
child 3156 73473cb66bcf
obsolete;
src/HOLCF/ex/Witness.ML
src/HOLCF/ex/Witness.thy
--- a/src/HOLCF/ex/Witness.ML	Mon May 12 14:24:31 1997 +0200
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,113 +0,0 @@
-open Witness;
-
-(* -------------------------------------------------------------------- *)
-(* classes cplus, cminus, ctimes, cdiv introduce 
-   characteristic constants  o+ o- o* o/
-
-	"circ":: "one -> one -> one"
-
-   is the witness for o+ o- o* o/	
-
-   No characteristic axioms are to be checked
-*)
-
-(* -------------------------------------------------------------------- *)
-(* classes per and qpo introduce characteristic constants
-	".="	:: "'a::per -> 'a -> tr"		(cinfixl 55)
-	".<="	:: "'a::qpo -> 'a -> tr"		(cinfixl 55)
-
-   The witness for these is 
-
-	"bullet":: "one -> one -> tr"			(cinfixl 55)
-
-   the classes equiv, eq, impose additional axioms
-*)
-
-(* -------------------------------------------------------------------- *)
-(* 
-
-characteristic axioms of class per:
-
-strict_per	"(UU .= x) = UU & (x .= UU) = UU"
-total_per	"[|x ~= UU; y ~= UU|] ==> (x .= y) ~= UU"
-flat_per	"flat (UU::'a::per)"
-
-sym_per		"(x .= y) = (y .= x)"
-trans_per	"[|(x .= y)=TT; (y .= z)=TT |] ==> (x .= z)=TT"
-
-   --------------------------------------------------------------------
-
-characteristic axioms of class equiv:
-
-refl_per	"[|(x::'a::equiv) ~= UU|] ==> (x .= x)=TT"
-
-   --------------------------------------------------------------------
-
-characteristic axioms of class eq:
-
-weq	"[|(x::'a::eq)~=UU; y~=UU|] ==> (x=y --> (x.=y)=TT) & (x~=y --> x.=y)"
-
-
-   --------------------------------------------------------------------
-
-*)
-
-(* strict_per, strict_qpo *)
-goalw thy [bullet_def] "(UU bullet x) = UU & (x bullet UU) = UU";
-by (simp_tac (!simpset addsimps [flift1_def,flift2_def,o_def]) 1);
-by (lift.induct_tac "x" 1);
-auto();
-result();
-
-(* total_per, total_qpo *)
-val prems = goal thy "[|x~=UU; y~=UU|] ==> (x bullet y) ~= UU";
-by (subgoal_tac "x~=UU&y~=UU-->(x bullet y) ~= UU" 1);
-by (cut_facts_tac prems 1);
-by (fast_tac HOL_cs 1);
-by (simp_tac (!simpset addsimps [bullet_def,flift1_def,flift2_def,o_def]) 1);
-by (lift.induct_tac "x" 1);
-by (fast_tac HOL_cs 1);
-by (lift.induct_tac "y" 1);
-auto();
-result();
-
-(* flat_per *)
-
-goal thy "flat (x::one)";
-by (rtac flat_flat 1);
-result();
-
-(* sym_per *)  
-goalw thy [bullet_def] "(x bullet y) = (y bullet x)";
-by (simp_tac (!simpset addsimps [bullet_def,flift1_def,flift2_def,o_def]) 1);
-by (lift.induct_tac "x" 1);
-by (lift.induct_tac "y" 2);
-by (lift.induct_tac "y" 1);
-auto();
-result();
-
-(* trans_per, trans_qpo *)
-val prems = goal thy "[|(x bullet y)=TT; (y bullet z)=TT|] ==>(x bullet z)=TT";
-by (subgoal_tac "(x bullet y)=TT&(y bullet z)=TT-->(x bullet z)=TT" 1);
-by (cut_facts_tac prems 1);
-by (fast_tac HOL_cs 1);
-by (simp_tac (!simpset addsimps [bullet_def,flift1_def,flift2_def,o_def]) 1);
-by (lift.induct_tac "x" 1);
-by (lift.induct_tac "y" 2);
-by (lift.induct_tac "y" 1);
-by (lift.induct_tac "z" 4);
-by (lift.induct_tac "z" 3);
-by (lift.induct_tac "z" 2);
-by (lift.induct_tac "z" 1);
-auto();
-result();
-
-(* refl_per *)
-val prems = goal thy "x ~= UU ==> (x bullet x)=TT";
-by (subgoal_tac "x ~= UU --> (x bullet x)=TT" 1);
-by (cut_facts_tac prems 1);
-by (fast_tac HOL_cs 1);
-by (simp_tac (!simpset addsimps [bullet_def,flift1_def,flift2_def,o_def]) 1);
-by (lift.induct_tac "x" 1);
-auto();
-qed "refl_per_one";
--- a/src/HOLCF/ex/Witness.thy	Mon May 12 14:24:31 1997 +0200
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,24 +0,0 @@
-(*  Title:      FOCUS/Witness.thy
-    ID:         $Id$
-    Author:     Franz Regensburger
-    Copyright   1995 Technical University Munich
-
-Witnesses for introduction of type cleasse in theory Classlib
-
-The type one of HOLCF/One.thy is a witness for all the introduced classes.
-
-the trivial instance for ++ -- ** // is circ 
-the trivial instance for .= and .<=  is bullet
-
-*)
-
-Witness = HOLCF +
-
-ops curried 
-	"bullet":: "one -> one -> tr"			(cinfixl 55)
-
-defs 
-
-bullet_def	"(op bullet)  flift1(flift2 o (op =))"
-
-end