Index: tools/bugpoint/BugDriver.h
===================================================================
--- tools/bugpoint/BugDriver.h
+++ tools/bugpoint/BugDriver.h
@@ -321,6 +321,11 @@
 ///
 void PrintGlobalVariableList(const std::vector<GlobalVariable*> &GVs);
 
+// DeleteGlobalInitializer - "Remove" the global variable by deleting its
+// initializer, making it external.
+//
+void DeleteGlobalInitializer(GlobalVariable *GV);
+
 // DeleteFunctionBody - "Remove" the function by deleting all of it's basic
 // blocks, making it external.
 //
Index: tools/bugpoint/CrashDebugger.cpp
===================================================================
--- tools/bugpoint/CrashDebugger.cpp
+++ tools/bugpoint/CrashDebugger.cpp
@@ -158,7 +158,7 @@
   for (Module::global_iterator I = M->global_begin(), E = M->global_end();
        I != E; ++I)
     if (I->hasInitializer() && !GVSet.count(I)) {
-      I->setInitializer(nullptr);
+      DeleteGlobalInitializer(I);
       I->setLinkage(GlobalValue::ExternalLinkage);
     }
 
@@ -516,7 +516,7 @@
     for (Module::global_iterator I = M->global_begin(), E = M->global_end();
          I != E; ++I)
       if (I->hasInitializer()) {
-        I->setInitializer(nullptr);
+        DeleteGlobalInitializer(I);
         I->setLinkage(GlobalValue::ExternalLinkage);
         DeletedInit = true;
       }
Index: tools/bugpoint/ExtractFunction.cpp
===================================================================
--- tools/bugpoint/ExtractFunction.cpp
+++ tools/bugpoint/ExtractFunction.cpp
@@ -179,11 +179,43 @@
   return NewM;
 }
 
+static void eliminateAliases(GlobalValue *GV) {
+  // First, check whether a GlobalAlias references this definition.
+  // GlobalAlias MAY NOT reference declarations.
+  for (;;) {
+    // 1. Find aliases
+    SmallVector<GlobalAlias*,1> aliases;
+    Module *M = GV->getParent();
+    for (Module::alias_iterator I=M->alias_begin(), E=M->alias_end(); I!=E; ++I)
+      if (I->getAliasee()->stripPointerCasts() == GV)
+        aliases.push_back(&*I);
+    if (aliases.empty())
+      break;
+    // 2. Resolve aliases
+    for (unsigned i=0, e=aliases.size(); i<e; ++i) {
+      aliases[i]->replaceAllUsesWith(aliases[i]->getAliasee());
+      aliases[i]->eraseFromParent();
+    }
+    // 3. Repeat until no more aliases found; there might
+    // be an alias to an alias...
+  }
+}
+
+//
+// DeleteGlobalInitializer - "Remove" the global variable by deleting its initializer,
+// making it external.
+//
+void llvm::DeleteGlobalInitializer(GlobalVariable *GV) {
+  eliminateAliases(GV);
+  GV->setInitializer(nullptr);
+}
 
 // DeleteFunctionBody - "Remove" the function by deleting all of its basic
 // blocks, making it external.
 //
 void llvm::DeleteFunctionBody(Function *F) {
+  eliminateAliases(F);
+
   // delete the body of the function...
   F->deleteBody();
   assert(F->isDeclaration() && "This didn't make the function external!");
@@ -325,10 +357,10 @@
                << "' and from test function '" << TestFn->getName() << "'.\n";
         exit(1);
       }
-      I->setInitializer(nullptr);  // Delete the initializer to make it external
+      DeleteGlobalInitializer(I); // Delete the initializer to make it external
     } else {
       // If we keep it in the safe module, then delete it in the test module
-      GV->setInitializer(nullptr);
+      DeleteGlobalInitializer(GV);
     }
   }