diff --git a/k-distribution/include/kframework/builtin/domains.md b/k-distribution/include/kframework/builtin/domains.md
index b04af99c8e..bd6ea7716e 100644
--- a/k-distribution/include/kframework/builtin/domains.md
+++ b/k-distribution/include/kframework/builtin/domains.md
@@ -1366,10 +1366,10 @@ module INT-SYMBOLIC [symbolic]
   rule X   %Int N => X requires 0 <=Int X andBool X <Int N [simplification]
 
   // Bit-shifts
-  rule X <<Int 0 => X [simplification]
-  rule 0 <<Int _ => 0 [simplification]
-  rule X >>Int 0 => X [simplification]
-  rule 0 >>Int _ => 0 [simplification]
+  rule X <<Int 0 => X                    [simplification, preserves-definedness]
+  rule 0 <<Int Y => 0 requires 0 <=Int Y [simplification, preserves-definedness]
+  rule X >>Int 0 => X                    [simplification, preserves-definedness]
+  rule 0 >>Int Y => 0 requires 0 <=Int Y [simplification, preserves-definedness]
 endmodule
 
 module INT-SYMBOLIC-KORE [symbolic, haskell]
diff --git a/llvm-backend/src/main/java/org/kframework/backend/llvm/LLVMBackend.java b/llvm-backend/src/main/java/org/kframework/backend/llvm/LLVMBackend.java
index 420f6c1676..e154e7b653 100644
--- a/llvm-backend/src/main/java/org/kframework/backend/llvm/LLVMBackend.java
+++ b/llvm-backend/src/main/java/org/kframework/backend/llvm/LLVMBackend.java
@@ -146,6 +146,9 @@ private void llvmKompile(String type, String executable) {
       if (options.llvmMutableBytes) {
         args.add("--mutable-bytes");
       }
+      if (options.llvmHiddenVisibility) {
+        args.add("--hidden-visibility");
+      }
 
       if (options.debug) {
         args.add("-g");
diff --git a/llvm-backend/src/main/java/org/kframework/backend/llvm/LLVMKompileOptions.java b/llvm-backend/src/main/java/org/kframework/backend/llvm/LLVMKompileOptions.java
index 282b58c2f0..b330a5268a 100644
--- a/llvm-backend/src/main/java/org/kframework/backend/llvm/LLVMKompileOptions.java
+++ b/llvm-backend/src/main/java/org/kframework/backend/llvm/LLVMKompileOptions.java
@@ -119,4 +119,10 @@ public List<String> convert(String str) {
       description = "Use a faster, unsound representation for byte arrays on the LLVM backend",
       hidden = true)
   public boolean llvmMutableBytes;
+
+  @Parameter(
+      names = "--llvm-hidden-visibility",
+      description = "Build the llvm backend with -fvisibility=hidden",
+      hidden = true)
+  public boolean llvmHiddenVisibility;
 }