src/HOL/TLA/Init.ML
author haftmann
Mon Aug 14 13:46:06 2006 +0200 (2006-08-14)
changeset 20380 14f9f2a1caa6
parent 17309 c43ed29bd197
permissions -rw-r--r--
simplified code generator setup
     1 
     2 (* $Id$ *)
     3 
     4 local
     5   fun prover s = prove_goal (the_context ()) s
     6                     (K [force_tac (claset(), simpset() addsimps [Init_def]) 1])
     7 in
     8   val const_simps = map (int_rewrite o prover)
     9       [ "|- (Init #True) = #True",
    10         "|- (Init #False) = #False"]
    11   val Init_simps = map (int_rewrite o prover)
    12       [ "|- (Init ~F) = (~ Init F)",
    13         "|- (Init (P --> Q)) = (Init P --> Init Q)",
    14         "|- (Init (P & Q)) = (Init P & Init Q)",
    15         "|- (Init (P | Q)) = (Init P | Init Q)",
    16         "|- (Init (P = Q)) = ((Init P) = (Init Q))",
    17         "|- (Init (!x. F x)) = (!x. (Init F x))",
    18         "|- (Init (? x. F x)) = (? x. (Init F x))",
    19         "|- (Init (?! x. F x)) = (?! x. (Init F x))"
    20       ]
    21 end;
    22 
    23 Addsimps const_simps;
    24 
    25 Goal "|- (Init $P) = (Init P)";
    26 by (force_tac (claset(), simpset() addsimps [Init_def,fw_act_def,fw_stp_def]) 1);
    27 qed "Init_stp_act";
    28 val Init_simps = (int_rewrite Init_stp_act)::Init_simps;
    29 bind_thm("Init_stp_act_rev", symmetric(int_rewrite Init_stp_act));
    30 
    31 Goal "|- (Init F) = F";
    32 by (force_tac (claset(), simpset() addsimps [Init_def,fw_temp_def]) 1);
    33 qed "Init_temp";
    34 val Init_simps = (int_rewrite Init_temp)::Init_simps;
    35 
    36 (* Trivial instances of the definitions that avoid introducing lambda expressions. *)
    37 Goalw [Init_def,fw_stp_def] "(sigma |= Init P) = P (st1 sigma)";
    38 by (rtac refl 1);
    39 qed "Init_stp";
    40 
    41 Goalw [Init_def,fw_act_def] "(sigma |= Init A) = A (st1 sigma, st2 sigma)";
    42 by (rtac refl 1);
    43 qed "Init_act";
    44 
    45 val Init_defs = [Init_stp, Init_act, int_use Init_temp];