--- a/src/HOL/TLA/Memory/Memory.ML Fri Dec 01 17:22:33 2006 +0100
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,126 +0,0 @@
-(*
- File: Memory.ML
- ID: $Id$
- Author: Stephan Merz
- Copyright: 1997 University of Munich
-
- RPC-Memory example: Memory specification (theorems and proofs)
-*)
-
-val RM_action_defs =
- [MInit_def, PInit_def, RdRequest_def, WrRequest_def, MemInv_def,
- GoodRead_def, BadRead_def, ReadInner_def, Read_def,
- GoodWrite_def, BadWrite_def, WriteInner_def, Write_def,
- MemReturn_def, RNext_def];
-
-val UM_action_defs = RM_action_defs @ [MemFail_def, UNext_def];
-
-val RM_temp_defs = [RPSpec_def, MSpec_def, IRSpec_def];
-val UM_temp_defs = [UPSpec_def, MSpec_def, IUSpec_def];
-
-val mem_css = (claset(), simpset());
-
-(* -------------------- Proofs ---------------------------------------------- *)
-
-(* The reliable memory is an implementation of the unreliable one *)
-Goal "|- IRSpec ch mm rs --> IUSpec ch mm rs";
-by (force_tac (temp_css addsimps2 ([UNext_def,UPSpec_def,IUSpec_def] @ RM_temp_defs)
- addSEs2 [STL4E,squareE]) 1);
-qed "ReliableImplementsUnReliable";
-
-(* The memory spec implies the memory invariant *)
-Goal "|- MSpec ch mm rs l --> [](MemInv mm l)";
-by (auto_inv_tac (simpset() addsimps RM_temp_defs @ RM_action_defs) 1);
-qed "MemoryInvariant";
-
-(* The invariant is trivial for non-locations *)
-Goal "|- #l ~: #MemLoc --> [](MemInv mm l)";
-by (auto_tac (temp_css addsimps2 [MemInv_def] addSIs2 [necT]));
-qed "NonMemLocInvariant";
-
-Goal "|- (ALL l. #l : #MemLoc --> MSpec ch mm rs l) --> (ALL l. [](MemInv mm l))";
-by (step_tac temp_cs 1);
-by (case_tac "l : MemLoc" 1);
-by (auto_tac (temp_css addSEs2 [MemoryInvariant,NonMemLocInvariant]));
-qed "MemoryInvariantAll";
-
-(* The memory engages in an action for process p only if there is an
- unanswered call from p.
- We need this only for the reliable memory.
-*)
-
-Goal "|- ~$(Calling ch p) --> ~ RNext ch mm rs p";
-by (auto_tac (mem_css addsimps2 (Return_def::RM_action_defs)));
-qed "Memoryidle";
-
-(* Enabledness conditions *)
-
-Goal "|- MemReturn ch rs p --> <MemReturn ch rs p>_(rtrner ch ! p, rs!p)";
-by (force_tac (mem_css addsimps2 [MemReturn_def,angle_def]) 1);
-qed "MemReturn_change";
-
-Goal "!!p. basevars (rtrner ch ! p, rs!p) ==> \
-\ |- Calling ch p & (rs!p ~= #NotAResult) \
-\ --> Enabled (<MemReturn ch rs p>_(rtrner ch ! p, rs!p))";
-by (action_simp_tac (simpset()) [MemReturn_change RSN (2,enabled_mono)] [] 1);
-by (action_simp_tac (simpset() addsimps [MemReturn_def,Return_def,rtrner_def])
- [exI] [base_enabled,Pair_inject] 1);
-qed "MemReturn_enabled";
-
-Goal "!!p. basevars (rtrner ch ! p, rs!p) ==> \
-\ |- Calling ch p & (arg<ch!p> = #(read l)) --> Enabled (ReadInner ch mm rs p l)";
-by (case_tac "l : MemLoc" 1);
-by (ALLGOALS
- (force_tac (mem_css addsimps2 [ReadInner_def,GoodRead_def,
- BadRead_def,RdRequest_def]
- addSIs2 [exI] addSEs2 [base_enabled])));
-qed "ReadInner_enabled";
-
-Goal "!!p. basevars (mm!l, rtrner ch ! p, rs!p) ==> \
-\ |- Calling ch p & (arg<ch!p> = #(write l v)) \
-\ --> Enabled (WriteInner ch mm rs p l v)";
-by (case_tac "l:MemLoc & v:MemVal" 1);
-by (ALLGOALS
- (force_tac (mem_css addsimps2 [WriteInner_def,GoodWrite_def,
- BadWrite_def,WrRequest_def]
- addSIs2 [exI] addSEs2 [base_enabled])));
-qed "WriteInner_enabled";
-
-Goal "|- Read ch mm rs p & (!l. $(MemInv mm l)) --> (rs!p)` ~= #NotAResult";
-by (force_tac (mem_css addsimps2
- [Read_def,ReadInner_def,GoodRead_def,BadRead_def,MemInv_def]) 1);
-qed "ReadResult";
-
-Goal "|- Write ch mm rs p l --> (rs!p)` ~= #NotAResult";
-by (auto_tac (mem_css addsimps2 ([Write_def,WriteInner_def,GoodWrite_def,BadWrite_def])));
-qed "WriteResult";
-
-Goal "|- (ALL l. $MemInv mm l) & MemReturn ch rs p \
-\ --> ~ Read ch mm rs p & (ALL l. ~ Write ch mm rs p l)";
-by (auto_tac (mem_css addsimps2 [MemReturn_def] addSDs2 [WriteResult, ReadResult]));
-qed "ReturnNotReadWrite";
-
-Goal "|- (rs!p = #NotAResult) & (!l. MemInv mm l) \
-\ & Enabled (Read ch mm rs p | (? l. Write ch mm rs p l)) \
-\ --> Enabled (<RNext ch mm rs p>_(rtrner ch ! p, rs!p))";
-by (force_tac (mem_css addsimps2 [RNext_def,angle_def]
- addSEs2 [enabled_mono2]
- addDs2 [ReadResult, WriteResult]) 1);
-qed "RWRNext_enabled";
-
-
-(* Combine previous lemmas: the memory can make a visible step if there is an
- outstanding call for which no result has been produced.
-*)
-Goal "!!p. !l. basevars (mm!l, rtrner ch!p, rs!p) ==> \
-\ |- (rs!p = #NotAResult) & Calling ch p & (!l. MemInv mm l) \
-\ --> Enabled (<RNext ch mm rs p>_(rtrner ch ! p, rs!p))";
-by (auto_tac (mem_css addsimps2 [enabled_disj] addSIs2 [RWRNext_enabled]));
-by (case_tac "arg(ch w p)" 1);
- by (action_simp_tac (simpset()addsimps[Read_def,enabled_ex])
- [ReadInner_enabled,exI] [] 1);
- by (force_tac (mem_css addDs2 [base_pair]) 1);
-by (etac contrapos_np 1);
-by (action_simp_tac (simpset() addsimps [Write_def,enabled_ex])
- [WriteInner_enabled,exI] [] 1);
-qed "RNext_enabled";