diff --git a/bindings/python/ast.cpp b/bindings/python/ast.cpp
index e20c194e8..63cd265c6 100644
--- a/bindings/python/ast.cpp
+++ b/bindings/python/ast.cpp
@@ -231,9 +231,11 @@ void bind_ast(py::module_ &m) {
   py::enum_<sort_category>(ast, "SortCategory")
       .value("Uncomputed", sort_category::Uncomputed)
       .value("Map", sort_category::Map)
+      .value("MapIter", sort_category::MapIter)
       .value("RangeMap", sort_category::RangeMap)
       .value("List", sort_category::List)
       .value("Set", sort_category::Set)
+      .value("SetIter", sort_category::SetIter)
       .value("Int", sort_category::Int)
       .value("Float", sort_category::Float)
       .value("StringBuffer", sort_category::StringBuffer)
diff --git a/cmake/RuntimeConfig.cmake b/cmake/RuntimeConfig.cmake
index b84a6e4d9..3b3373ed1 100644
--- a/cmake/RuntimeConfig.cmake
+++ b/cmake/RuntimeConfig.cmake
@@ -34,7 +34,9 @@ set(STRINGBUFFER_LAYOUT 6)
 set(BOOL_LAYOUT         7)
 set(SYMBOL_LAYOUT       8)
 set(VARIABLE_LAYOUT     9)
-set(RANGEMAP_LAYOUT    11)
+set(RANGEMAP_LAYOUT    10)
+set(SETITER_LAYOUT     11)
+set(MAPITER_LAYOUT     12)
 
 get_filename_component(INSTALL_DIR_ABS_PATH "${CMAKE_INSTALL_PREFIX}"
                        REALPATH BASE_DIR "${CMAKE_BINARY_DIR}")
diff --git a/config/macros.h b/config/macros.h
index 42496905a..d3c248533 100644
--- a/config/macros.h
+++ b/config/macros.h
@@ -25,6 +25,8 @@
 #define SYMBOL_LAYOUT @SYMBOL_LAYOUT@
 #define VARIABLE_LAYOUT @VARIABLE_LAYOUT@
 #define RANGEMAP_LAYOUT @RANGEMAP_LAYOUT@
+#define SETITER_LAYOUT @SETITER_LAYOUT@
+#define MAPITER_LAYOUT @MAPITER_LAYOUT@
 
 #define STRINGIFY(x) #x
 #define TOSTRING(X) STRINGIFY(X)
diff --git a/include/kllvm/ast/AST.h b/include/kllvm/ast/AST.h
index 091721dab..0e2518c72 100644
--- a/include/kllvm/ast/AST.h
+++ b/include/kllvm/ast/AST.h
@@ -132,8 +132,10 @@ enum class sort_category {
   Bool,
   Symbol,
   Variable,
-  MInt,
-  RangeMap
+  RangeMap,
+  SetIter,
+  MapIter,
+  MInt
 };
 
 // represents the syntactic category of an LLVM backend term at runtime
diff --git a/lib/ast/AST.cpp b/lib/ast/AST.cpp
index 778d9695a..ee08703f2 100644
--- a/lib/ast/AST.cpp
+++ b/lib/ast/AST.cpp
@@ -255,17 +255,20 @@ std::string kore_symbol::layout_string(kore_definition *definition) const {
     value_type cat = sort->get_category(definition);
     switch (cat.cat) {
     case sort_category::Map: result.push_back('1'); break;
-    case sort_category::RangeMap: result.push_back('b'); break;
     case sort_category::List: result.push_back('2'); break;
     case sort_category::Set: result.push_back('3'); break;
     case sort_category::Int: result.push_back('4'); break;
     case sort_category::Float: result.push_back('5'); break;
     case sort_category::StringBuffer: result.push_back('6'); break;
     case sort_category::Bool: result.push_back('7'); break;
-    case sort_category::Variable: result.push_back('8'); break;
+    case sort_category::Symbol: result.push_back('8'); break;
+    case sort_category::Variable: result.push_back('9'); break;
+    case sort_category::RangeMap: result.push_back('a'); break;
+    case sort_category::SetIter: result.push_back('b'); break;
+    case sort_category::MapIter: result.push_back('c'); break;
     case sort_category::MInt:
       result.append("_" + std::to_string(cat.bits) + "_");
-    case sort_category::Symbol: result.push_back('0'); break;
+      break;
     case sort_category::Uncomputed: abort();
     }
   }
diff --git a/lib/codegen/CreateStaticTerm.cpp b/lib/codegen/CreateStaticTerm.cpp
index 60193f027..0f1f6ed99 100644
--- a/lib/codegen/CreateStaticTerm.cpp
+++ b/lib/codegen/CreateStaticTerm.cpp
@@ -340,6 +340,8 @@ create_static_term::create_token(value_type sort, std::string contents) {
         global, llvm::PointerType::getUnqual(llvm::StructType::getTypeByName(
                     module_->getContext(), block_struct)));
   }
+  case sort_category::SetIter:
+  case sort_category::MapIter:
   case sort_category::Uncomputed: abort();
   }
 }
diff --git a/lib/codegen/CreateTerm.cpp b/lib/codegen/CreateTerm.cpp
index d2210fa12..60213224f 100644
--- a/lib/codegen/CreateTerm.cpp
+++ b/lib/codegen/CreateTerm.cpp
@@ -184,6 +184,8 @@ llvm::Type *getvalue_type(value_type sort, llvm::Module *module) {
   case sort_category::Variable:
     return llvm::PointerType::getUnqual(
         llvm::StructType::getTypeByName(module->getContext(), block_struct));
+  case sort_category::MapIter:
+  case sort_category::SetIter:
   case sort_category::Uncomputed: abort();
   }
 }
diff --git a/lib/codegen/Debug.cpp b/lib/codegen/Debug.cpp
index a18b681fc..d3e1dc94b 100644
--- a/lib/codegen/Debug.cpp
+++ b/lib/codegen/Debug.cpp
@@ -152,6 +152,7 @@ llvm::DIType *get_forward_decl(std::string const &name) {
 }
 
 static std::string map_struct = "map";
+static std::string iter_struct = "iter";
 static std::string rangemap_struct = "rangemap";
 static std::string list_struct = "list";
 static std::string set_struct = "set";
@@ -166,9 +167,11 @@ llvm::DIType *get_debug_type(value_type type, std::string const &type_name) {
   }
   static std::map<std::string, llvm::DIType *> types;
   llvm::DIType *map = nullptr;
+  llvm::DIType *mapiter = nullptr;
   llvm::DIType *rangemap = nullptr;
   llvm::DIType *list = nullptr;
   llvm::DIType *set = nullptr;
+  llvm::DIType *setiter = nullptr;
   llvm::DIType *integer = nullptr;
   llvm::DIType *floating = nullptr;
   llvm::DIType *buffer = nullptr;
@@ -183,6 +186,10 @@ llvm::DIType *get_debug_type(value_type type, std::string const &type_name) {
     map = get_pointer_debug_type(get_forward_decl(map_struct), type_name);
     types[type_name] = map;
     return map;
+  case sort_category::MapIter:
+    mapiter = get_pointer_debug_type(get_forward_decl(iter_struct), type_name);
+    types[type_name] = mapiter;
+    return mapiter;
   case sort_category::RangeMap:
     rangemap
         = get_pointer_debug_type(get_forward_decl(rangemap_struct), type_name);
@@ -196,6 +203,10 @@ llvm::DIType *get_debug_type(value_type type, std::string const &type_name) {
     set = get_pointer_debug_type(get_forward_decl(set_struct), type_name);
     types[type_name] = set;
     return set;
+  case sort_category::SetIter:
+    setiter = get_pointer_debug_type(get_forward_decl(iter_struct), type_name);
+    types[type_name] = setiter;
+    return setiter;
   case sort_category::Int:
     integer = get_pointer_debug_type(get_forward_decl(int_struct), type_name);
     types[type_name] = integer;
diff --git a/lib/codegen/Decision.cpp b/lib/codegen/Decision.cpp
index b1dfb45ff..1381d7092 100644
--- a/lib/codegen/Decision.cpp
+++ b/lib/codegen/Decision.cpp
@@ -385,7 +385,7 @@ void make_pattern_node::codegen(decision *d) {
  * the sort that they originated from (int, bool, symbol, ...). In LLVM versions
  * < 16, we could encode this information in the LLVM type safely. However,
  * after the LLVM opaque pointer migration, we can no longer do so (as the
- * legacy types %mpz* and %block* would both be %ptr, for example). We
+ * legacy types %mpz* and %block* would both be ptr, for example). We
  * therefore define a compatibility translation between sort categories and what
  * their corresponding LLVM type _would have been_ before opaque pointers.
  */
@@ -400,9 +400,11 @@ static std::string legacy_value_type_to_string(value_type sort) {
   // Cases below are deliberately not implemented; the return values are
   // placeholders to help with debugging only.
   case sort_category::Map: return "<map>";
+  case sort_category::MapIter: return "<mapiter>";
   case sort_category::RangeMap: return "<rangemap>";
   case sort_category::List: return "<list>";
   case sort_category::Set: return "<set>";
+  case sort_category::SetIter: return "<setiter>";
   case sort_category::StringBuffer: return "<stringbuffer>";
   case sort_category::MInt: return "<mint>";
   case sort_category::Uncomputed: abort();
@@ -1084,6 +1086,8 @@ std::pair<std::vector<llvm::Value *>, llvm::BasicBlock *> step_function_header(
       break;
     case sort_category::Bool:
     case sort_category::MInt: break;
+    case sort_category::MapIter:
+    case sort_category::SetIter:
     case sort_category::Uncomputed: abort();
     }
     i++;
@@ -1120,6 +1124,8 @@ std::pair<std::vector<llvm::Value *>, llvm::BasicBlock *> step_function_header(
       break;
     case sort_category::Bool:
     case sort_category::MInt: break;
+    case sort_category::MapIter:
+    case sort_category::SetIter:
     case sort_category::Uncomputed: abort();
     }
   }
diff --git a/lib/codegen/EmitConfigParser.cpp b/lib/codegen/EmitConfigParser.cpp
index 20ab9165a..e8f770db8 100644
--- a/lib/codegen/EmitConfigParser.cpp
+++ b/lib/codegen/EmitConfigParser.cpp
@@ -346,6 +346,8 @@ static llvm::Value *get_arg_value(
   case sort_category::Variable:
     arg = new llvm::BitCastInst(arg, getvalue_type(cat, mod), "", case_block);
     break;
+  case sort_category::MapIter:
+  case sort_category::SetIter:
   case sort_category::Uncomputed: abort();
   }
   return arg;
@@ -402,6 +404,8 @@ static std::pair<llvm::Value *, llvm::BasicBlock *> get_eval(
         creator.get_current_block());
     break;
   }
+  case sort_category::MapIter:
+  case sort_category::SetIter:
   case sort_category::Uncomputed: abort();
   }
   inst->insertAfter(&creator.get_current_block()->back());
@@ -628,6 +632,8 @@ static void emit_get_token(kore_definition *definition, llvm::Module *module) {
     }
     case sort_category::Variable:
     case sort_category::Symbol: break;
+    case sort_category::MapIter:
+    case sort_category::SetIter:
     case sort_category::Uncomputed: abort();
     }
     current_block = false_block;
@@ -1171,6 +1177,8 @@ static void get_visitor(
           callbacks.at(2), state_ptr, use_sort_name);
       break;
     }
+    case sort_category::MapIter:
+    case sort_category::SetIter:
     case sort_category::Uncomputed: abort();
     }
     if (i != symbol->get_arguments().size() - 1 && use_sort_name) {