--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/Modal/ROOT.ML Thu Sep 16 12:20:38 1993 +0200
@@ -0,0 +1,83 @@
+(* Title: 91/Modal/ROOT
+ ID: $Id$
+ Author: Martin Coen
+ Copyright 1991 University of Cambridge
+*)
+
+val banner = "Modal Logic (over LK)";
+writeln banner;
+
+use_thy "modal0";
+
+structure Modal0_rls =
+struct
+
+val rewrite_rls = [Modal0.strimp_def,Modal0.streqv_def];
+
+local
+ val iffR = prove_goal thy
+ "[| $H,P |- $E,Q,$F; $H,Q |- $E,P,$F |] ==> $H |- $E, P <-> Q, $F"
+ (fn prems=>
+ [ (rewrite_goals_tac [iff_def]),
+ (REPEAT (resolve_tac (prems@[conjR,impR]) 1)) ]);
+
+ val iffL = prove_goal thy
+ "[| $H,$G |- $E,P,Q; $H,Q,P,$G |- $E |] ==> $H, P <-> Q, $G |- $E"
+ (fn prems=>
+ [ rewrite_goals_tac [iff_def],
+ (REPEAT (resolve_tac (prems@[conjL,impL,basic]) 1)) ])
+in
+val safe_rls = [basic,conjL,conjR,disjL,disjR,impL,impR,notL,notR,iffL,iffR];
+val unsafe_rls = [allR,exL];
+val bound_rls = [allL,exR];
+end
+
+end;
+
+use "prover.ML";
+
+use_thy"T";
+
+local open Modal0_rls T
+in structure MP_Rule : MODAL_PROVER_RULE =
+ struct
+ val rewrite_rls = rewrite_rls
+ val safe_rls = safe_rls
+ val unsafe_rls = unsafe_rls @ [boxR,diaL]
+ val bound_rls = bound_rls @ [boxL,diaR]
+ val aside_rls = [lstar0,lstar1,lstar2,rstar0,rstar1,rstar2]
+ end
+end;
+structure T_Prover = Modal_ProverFun(MP_Rule);
+
+use_thy"S4";
+
+local open Modal0_rls S4
+in structure MP_Rule : MODAL_PROVER_RULE =
+ struct
+ val rewrite_rls = rewrite_rls
+ val safe_rls = safe_rls
+ val unsafe_rls = unsafe_rls @ [boxR,diaL]
+ val bound_rls = bound_rls @ [boxL,diaR]
+ val aside_rls = [lstar0,lstar1,lstar2,rstar0,rstar1,rstar2]
+ end;
+end;
+structure S4_Prover = Modal_ProverFun(MP_Rule);
+
+use_thy"S43";
+
+local open Modal0_rls S43
+in structure MP_Rule : MODAL_PROVER_RULE =
+ struct
+ val rewrite_rls = rewrite_rls
+ val safe_rls = safe_rls
+ val unsafe_rls = unsafe_rls @ [pi1,pi2]
+ val bound_rls = bound_rls @ [boxL,diaR]
+ val aside_rls = [lstar0,lstar1,lstar2,rstar0,rstar1,rstar2,S43pi0,S43pi1,S43pi2]
+ end;
+end;
+structure S43_Prover = Modal_ProverFun(MP_Rule);
+
+val Modal_build_completed = (); (*indicate successful build*)
+
+(*printing functions are inherited from LK*)