diff --git a/c-api/compat-5.3.h b/c-api/compat-5.3.h
index 6f66dad..de6c402 100644
--- a/c-api/compat-5.3.h
+++ b/c-api/compat-5.3.h
@@ -395,12 +395,32 @@ COMPAT53_API void luaL_requiref (lua_State *L, const char *modname,
 
 
 
+/* declarations for Lua 5.5 */
+#if defined(LUA_VERSION_NUM) && LUA_VERSION_NUM >= 505
+
+/*
+** Internal assertions for in-house debugging
+*/
+#if defined LUAI_ASSERT
+#  undef NDEBUG
+#  include <assert.h>
+#  define lua_assert(c)           assert(c)
+#endif
+
+#if !defined(lua_assert)
+#  define lua_assert(c)           ((void)0)
+#endif
+
+#endif /* Lua 5.5 only */
+
+
+
 /* other Lua versions */
-#if !defined(LUA_VERSION_NUM) || LUA_VERSION_NUM < 501 || LUA_VERSION_NUM > 504
+#if !defined(LUA_VERSION_NUM) || LUA_VERSION_NUM < 501 || LUA_VERSION_NUM > 505
 
-#  error "unsupported Lua version (i.e. not Lua 5.1, 5.2, 5.3, or 5.4)"
+#  error "unsupported Lua version (i.e. not Lua 5.1, 5.2, 5.3, 5.4, or 5.5)"
 
-#endif /* other Lua versions except 5.1, 5.2, 5.3, and 5.4 */
+#endif /* other Lua versions except 5.1, 5.2, 5.3, 5.4, and 5.5 */
 
 
 
diff --git a/rockspecs/bit32-scm-1.rockspec b/rockspecs/bit32-scm-1.rockspec
index 78f9736..16e81b5 100644
--- a/rockspecs/bit32-scm-1.rockspec
+++ b/rockspecs/bit32-scm-1.rockspec
@@ -14,7 +14,7 @@ description = {
    license = "MIT"
 }
 dependencies = {
-   "lua >= 5.1, < 5.5"
+   "lua >= 5.1, < 5.6"
 }
 build = {
    type = "builtin",
diff --git a/rockspecs/compat53-scm-1.rockspec b/rockspecs/compat53-scm-1.rockspec
index b0581f9..b72eff6 100644
--- a/rockspecs/compat53-scm-1.rockspec
+++ b/rockspecs/compat53-scm-1.rockspec
@@ -16,7 +16,7 @@ description = {
    license = "MIT"
 }
 dependencies = {
-   "lua >= 5.1, < 5.5",
+   "lua >= 5.1, < 5.6",
    --"struct" -- make Roberto's struct module optional
 }
 build = {