diff --git a/app/dns/lua.go b/app/dns/lua.go
index 47d818e74..6f5dda79c 100644
--- a/app/dns/lua.go
+++ b/app/dns/lua.go
@@ -18,12 +18,12 @@ func (s *DNS) RegisterLua(L *lua.LState) {
 		for i, client := range s.clients {
 			server := L.NewTable()
 
-			server.RawSetString("id", lua.LString(client.id))
+			server.RawSetString("ID", lua.LString(client.id))
 
-			server.RawSetString("query", L.NewFunction(func(L *lua.LState) int {
+			server.RawSetString("Query", L.NewFunction(func(L *lua.LState) int {
 				domain, ok := L.Get(2).(lua.LString)
 				if !ok {
-					L.RaiseError("server:query requires a domain")
+					L.RaiseError("server:Query requires a domain")
 					return 0
 				}
 				option := featureDNS.IPOption{
@@ -33,7 +33,7 @@ func (s *DNS) RegisterLua(L *lua.LState) {
 				}
 				ctx := L.Context()
 				if ctx == nil {
-					L.RaiseError("server:query requires an active DNS query")
+					L.RaiseError("server:Query requires an active DNS query")
 					return 0
 				}
 				var ips []net.IP
@@ -60,13 +60,13 @@ func (s *DNS) RegisterLua(L *lua.LState) {
 			servers.RawSetInt(i+1, server)
 		}
 		module := L.NewTable()
-		module.RawSetString("servers", servers)
+		module.RawSetString("Servers", servers)
 		L.Push(module)
 		return 1
 	})
 }
 
-// CallLuaHook invokes handleDNSQuery in the supplied state.
+// CallLuaHook invokes HandleDNSQuery in the supplied state.
 // Returned slices and IP bytes may share storage with DNS caches or matcher inputs.
 func (s *DNS) CallLuaHook(L *lua.LState, ctx context.Context, domain string, option featureDNS.IPOption) ([]net.IP, uint32, error) {
 	previous := L.Context()
@@ -78,9 +78,9 @@ func (s *DNS) CallLuaHook(L *lua.LState, ctx context.Context, domain string, opt
 			L.SetContext(previous)
 		}
 	}()
-	fn := L.GetGlobal("handleDNSQuery")
+	fn := L.GetGlobal("HandleDNSQuery")
 	if fn.Type() != lua.LTFunction {
-		return nil, 0, errors.New("DNS script must define handleDNSQuery(domain, ipv4, ipv6, fake)")
+		return nil, 0, errors.New("DNS script must define HandleDNSQuery(domain, ipv4, ipv6, fake)")
 	}
 	if err := L.CallByParam(lua.P{Fn: fn, NRet: 3, Protect: true},
 		lua.LString(strings.ToLower(domain)), lua.LBool(option.IPv4Enable),
diff --git a/app/dns/lua_test.go b/app/dns/lua_test.go
index dac03a1e3..3fb089616 100644
--- a/app/dns/lua_test.go
+++ b/app/dns/lua_test.go
@@ -80,7 +80,7 @@ func TestReadLuaDNSResultValidation(t *testing.T) {
 func TestCallLuaHookCancellation(t *testing.T) {
 	L := lua.NewState()
 	defer L.Close()
-	if err := L.DoString(`function handleDNSQuery(domain, ipv4, ipv6, fake) while true do end end`); err != nil {
+	if err := L.DoString(`function HandleDNSQuery(domain, ipv4, ipv6, fake) while true do end end`); err != nil {
 		t.Fatal(err)
 	}
 	ctx, cancel := context.WithTimeout(context.Background(), 50*time.Millisecond)
@@ -101,7 +101,7 @@ func TestCallLuaHookNormalizesDomain(t *testing.T) {
 	addresses.Value = []net.IP{net.ParseIP("127.0.0.1")}
 	L.SetGlobal("ips", addresses)
 	if err := L.DoString(`
-		function handleDNSQuery(domain, ipv4, ipv6, fake)
+		function HandleDNSQuery(domain, ipv4, ipv6, fake)
 			assert(domain == "example.com")
 			assert(ipv4 and not ipv6 and not fake)
 			return ips, 60, nil
@@ -130,7 +130,7 @@ func TestCallLuaHookRestoresState(t *testing.T) {
 			addresses := L.NewUserData()
 			addresses.Value = []net.IP{net.ParseIP("127.0.0.1")}
 			L.SetGlobal("ips", addresses)
-			if err := L.DoString("function handleDNSQuery() " + tc.body + " end"); err != nil {
+			if err := L.DoString("function HandleDNSQuery() " + tc.body + " end"); err != nil {
 				t.Fatal(err)
 			}
 			previous, cancel := context.WithCancel(context.Background())
@@ -157,13 +157,13 @@ func TestLuaDNSServerQuery(t *testing.T) {
 	server := &DNS{clients: []*Client{{server: &benchmarkLuaNameServer{ips: ips}, ipOption: &option, timeoutMs: time.Second}}}
 	server.RegisterLua(L)
 	if err := L.DoString(`
-local server = require("xray.dns").servers[1]
-local matcher = require("xray.geodata").ipMatcher("127.0.0.0/8")
-function handleDNSQuery(domain, ipv4, ipv6, fake)
-    local ips, ttl, err = server:query(domain, ipv4, ipv6, fake)
+local server = require("xray.dns").Servers[1]
+local matcher = require("xray.geodata").IPMatcher("127.0.0.0/8")
+function HandleDNSQuery(domain, ipv4, ipv6, fake)
+    local ips, ttl, err = server:Query(domain, ipv4, ipv6, fake)
     assert(type(ips) == "userdata" and not err)
-    assert(matcher:anyMatch(ips))
-    local matched = matcher:filterIPs(ips)
+    assert(matcher:AnyMatch(ips))
+    local matched = matcher:FilterIPs(ips)
     return matched, ttl, err
 end
 `); err != nil {
@@ -185,7 +185,7 @@ func (s *benchmarkLuaNameServer) QueryIP(context.Context, string, featureDNS.IPO
 	return s.ips, 60, nil
 }
 
-// BenchmarkLuaDNSHookCall isolates a preloaded Lua hook and its server:query bridge.
+// BenchmarkLuaDNSHookCall isolates a preloaded Lua hook and its server:Query bridge.
 // The direct case measures the same DNS client without Lua.
 func BenchmarkLuaDNSHookCall(b *testing.B) {
 	option := featureDNS.IPOption{IPv4Enable: true}
@@ -197,9 +197,9 @@ func BenchmarkLuaDNSHookCall(b *testing.B) {
 	defer L.Close()
 	server.RegisterLua(L)
 	if err := L.DoString(`
-local server = require("xray.dns").servers[1]
-function handleDNSQuery(domain, ipv4, ipv6, fake)
-    return server:query(domain, ipv4, ipv6, fake)
+local server = require("xray.dns").Servers[1]
+function HandleDNSQuery(domain, ipv4, ipv6, fake)
+    return server:Query(domain, ipv4, ipv6, fake)
 end
 `); err != nil {
 		b.Fatal(err)
diff --git a/app/dns/script.go b/app/dns/script.go
index f76a96dc4..e40d044bc 100644
--- a/app/dns/script.go
+++ b/app/dns/script.go
@@ -37,9 +37,9 @@ func newScriptEngine(path string, server *DNS) (*scriptEngine, error) {
 		if err != nil {
 			return nil, err
 		}
-		if L.GetGlobal("handleDNSQuery").Type() != lua.LTFunction {
+		if L.GetGlobal("HandleDNSQuery").Type() != lua.LTFunction {
 			L.Close()
-			return nil, errors.New("DNS script must define handleDNSQuery(domain, ipv4, ipv6, fake)")
+			return nil, errors.New("DNS script must define HandleDNSQuery(domain, ipv4, ipv6, fake)")
 		}
 		return L, nil
 	})
diff --git a/app/dns/script_test.go b/app/dns/script_test.go
index 28aaca9df..efeffedbf 100644
--- a/app/dns/script_test.go
+++ b/app/dns/script_test.go
@@ -37,21 +37,21 @@ func (s *geoIPScriptNameServer) QueryIP(ctx context.Context, domain string, _ fe
 func TestDNSScriptGeoIPFallback(t *testing.T) {
 	t.Setenv("xray.location.asset", filepath.Join("..", "..", "resources"))
 	script := `
-local servers = require("xray.dns").servers
-local us_ips = require("xray.geodata").ipMatcher("geoip:us")
+local servers = require("xray.dns").Servers
+local us_ips = require("xray.geodata").IPMatcher("geoip:us")
 
 local by_id = {}
 for _, server in ipairs(servers) do
-    by_id[server.id] = server
+    by_id[server.ID] = server
 end
 assert(by_id.primary and by_id.fallback, "primary and fallback DNS servers are required")
 
-function handleDNSQuery(domain, ipv4, ipv6, fake)
-    local ips, ttl, err = by_id.primary:query(domain, ipv4, ipv6, fake)
-    if not err and us_ips:anyMatch(ips) then
+function HandleDNSQuery(domain, ipv4, ipv6, fake)
+    local ips, ttl, err = by_id.primary:Query(domain, ipv4, ipv6, fake)
+    if not err and us_ips:AnyMatch(ips) then
         return ips, ttl, nil
     end
-    return by_id.fallback:query(domain, ipv4, ipv6, fake)
+    return by_id.fallback:Query(domain, ipv4, ipv6, fake)
 end
 `
 	scriptPath := filepath.Join(t.TempDir(), "geoip_fallback.lua")
@@ -118,7 +118,7 @@ func TestDNSScriptRejectsInvalidStartup(t *testing.T) {
 		name   string
 		script string
 	}{
-		{"syntax", "function handleDNSQuery("},
+		{"syntax", "function HandleDNSQuery("},
 		{"missing hook", "value = 1"},
 		{"top-level error", `error("setup failed")`},
 	} {
@@ -141,14 +141,14 @@ func TestDNSScriptRejectsInvalidStartup(t *testing.T) {
 func TestDNSScriptHookErrorAndFakeDNSOption(t *testing.T) {
 	path := filepath.Join(t.TempDir(), "script.lua")
 	script := `
-local server = require("xray.dns").servers[1]
+local server = require("xray.dns").Servers[1]
 local log = require("xray.log")
-log.info("DNS script loaded")
-function handleDNSQuery(domain, ipv4, ipv6, fake)
-    log.debug("DNS query: ", domain)
+log.Info("DNS script loaded")
+function HandleDNSQuery(domain, ipv4, ipv6, fake)
+    log.Debug("DNS query: ", domain)
     if domain == "bad.example" then error("script failure") end
-    local ips, ttl, err = server:query(domain, ipv4, ipv6, fake)
-    if err then log.error("DNS failed: ", err) end
+    local ips, ttl, err = server:Query(domain, ipv4, ipv6, fake)
+    if err then log.Error("DNS failed: ", err) end
     return ips, ttl, err
 end
 `
diff --git a/common/geodata/lua.go b/common/geodata/lua.go
index 021be233c..84324c3f4 100644
--- a/common/geodata/lua.go
+++ b/common/geodata/lua.go
@@ -10,7 +10,7 @@ func RegisterLua(L *lua.LState) {
 	L.PreloadModule("xray.geodata", func(L *lua.LState) int {
 		module := L.NewTable()
 
-		module.RawSetString("domainMatcher", L.NewFunction(func(L *lua.LState) int {
+		module.RawSetString("DomainMatcher", L.NewFunction(func(L *lua.LState) int {
 			parsed, err := ParseDomainRules(luaRules(L), Domain_Domain)
 			if err != nil {
 				L.RaiseError("%v", err)
@@ -25,7 +25,7 @@ func RegisterLua(L *lua.LState) {
 			return 1
 		}))
 
-		module.RawSetString("ipMatcher", L.NewFunction(func(L *lua.LState) int {
+		module.RawSetString("IPMatcher", L.NewFunction(func(L *lua.LState) int {
 			parsed, err := ParseIPRules(luaRules(L))
 			if err != nil {
 				L.RaiseError("%v", err)
diff --git a/common/geodata/lua_test.go b/common/geodata/lua_test.go
index 00bae2e53..6004369a2 100644
--- a/common/geodata/lua_test.go
+++ b/common/geodata/lua_test.go
@@ -18,11 +18,11 @@ func TestLuaIPMatcher(t *testing.T) {
 	ips.Value = []net.IP{ip.Value.(net.IP), net.ParseIP("8.8.8.8")}
 	L.SetGlobal("ips", ips)
 	if err := L.DoString(`
-		local matcher = require("xray.geodata").ipMatcher("127.0.0.0/8", "::1")
-		assert(matcher:match(ip))
-		assert(matcher:anyMatch(ips))
-		assert(not matcher:matches(ips))
-		local matched, unmatched = matcher:filterIPs(ips)
+		local matcher = require("xray.geodata").IPMatcher("127.0.0.0/8", "::1")
+		assert(matcher:Match(ip))
+		assert(matcher:AnyMatch(ips))
+		assert(not matcher:Matches(ips))
+		local matched, unmatched = matcher:FilterIPs(ips)
 		assert(type(matched) == "userdata" and type(unmatched) == "userdata")
 		assert(#matched == 1 and #unmatched == 1)
 	`); err != nil {
@@ -35,12 +35,12 @@ func TestLuaDomainMatcher(t *testing.T) {
 	defer L.Close()
 	RegisterLua(L)
 	if err := L.DoString(`
-		local matcher = require("xray.geodata").domainMatcher("example.com", "full:other.com")
-		assert(matcher:matchAny("example.com"))
-		assert(matcher:matchAny("www.example.com"))
-		assert(matcher:matchAny("other.com"))
-		assert(not matcher:matchAny("www.other.com"))
-		assert(#(matcher:match("www.example.com")) == 1)
+		local matcher = require("xray.geodata").DomainMatcher("example.com", "full:other.com")
+		assert(matcher:MatchAny("example.com"))
+		assert(matcher:MatchAny("www.example.com"))
+		assert(matcher:MatchAny("other.com"))
+		assert(not matcher:MatchAny("www.other.com"))
+		assert(#(matcher:Match("www.example.com")) == 1)
 	`); err != nil {
 		t.Fatal(err)
 	}
@@ -51,8 +51,8 @@ func TestLuaMatchersRejectInvalidRules(t *testing.T) {
 		name   string
 		script string
 	}{
-		{"IP rule", `require("xray.geodata").ipMatcher("not-an-ip")`},
-		{"non-string domain rule", `require("xray.geodata").domainMatcher("example.com", true)`},
+		{"IP rule", `require("xray.geodata").IPMatcher("not-an-ip")`},
+		{"non-string domain rule", `require("xray.geodata").DomainMatcher("example.com", true)`},
 	} {
 		t.Run(tc.name, func(t *testing.T) {
 			L := lua.NewState()
diff --git a/common/log/lua.go b/common/log/lua.go
index 8c68dbdcc..902911862 100644
--- a/common/log/lua.go
+++ b/common/log/lua.go
@@ -12,10 +12,10 @@ func RegisterLua(L *lua.LState) {
 	L.PreloadModule("xray.log", func(L *lua.LState) int {
 		module := L.NewTable()
 		for name, severity := range map[string]Severity{
-			"debug":   Severity_Debug,
-			"info":    Severity_Info,
-			"warning": Severity_Warning,
-			"error":   Severity_Error,
+			"Debug":   Severity_Debug,
+			"Info":    Severity_Info,
+			"Warning": Severity_Warning,
+			"Error":   Severity_Error,
 		} {
 			module.RawSetString(name, L.NewFunction(func(L *lua.LState) int {
 				var content strings.Builder
diff --git a/common/log/lua_test.go b/common/log/lua_test.go
index 01a59305a..9b57439d3 100644
--- a/common/log/lua_test.go
+++ b/common/log/lua_test.go
@@ -36,19 +36,19 @@ func TestLuaLog(t *testing.T) {
 	if err := os.WriteFile(path, []byte(`
 		local log = require("xray.log")
 		assert(log == require("xray.log"))
-		log.debug("query: ", "example.com")
-		log.info("count=", 42, ", enabled=", true, ", value=", nil)
-		log.warning(setmetatable({}, {
+		log.Debug("query: ", "example.com")
+		log.Info("count=", 42, ", enabled=", true, ", value=", nil)
+		log.Warning(setmetatable({}, {
 			__tostring = function() return "fallback" end
 		}))
-		assert(select("#", log.error("failed")) == 0)
-		log.error("DNS failed: ", nativeError)
-		log.warning(nativeError)
+		assert(select("#", log.Error("failed")) == 0)
+		log.Error("DNS failed: ", nativeError)
+		log.Warning(nativeError)
 		local ok, err = pcall(function() error("Lua failure", 0) end)
 		assert(not ok)
-		log.error(err)
+		log.Error(err)
 		function logHook()
-			log.info("hook")
+			log.Info("hook")
 		end
 	`), 0o600); err != nil {
 		t.Fatal(err)
@@ -58,7 +58,7 @@ func TestLuaLog(t *testing.T) {
 	}
 	if err := L.DoString(`
 		logHook()
-		require("xray.log").info("anonymous")
+		require("xray.log").Info("anonymous")
 	`); err != nil {
 		t.Fatal(err)
 	}
diff --git a/infra/conf/dns_test.go b/infra/conf/dns_test.go
index 6ca9878f6..5657f0c70 100644
--- a/infra/conf/dns_test.go
+++ b/infra/conf/dns_test.go
@@ -129,7 +129,7 @@ func TestDNSScriptConfig(t *testing.T) {
 	dir := t.TempDir()
 	t.Setenv("xray.location.confdir", dir)
 	path := filepath.Join(dir, "lookup.lua")
-	if err := os.WriteFile(path, []byte("function handleDNSQuery(domain, ipv4, ipv6, fake) end"), 0o600); err != nil {
+	if err := os.WriteFile(path, []byte("function HandleDNSQuery(domain, ipv4, ipv6, fake) end"), 0o600); err != nil {
 		t.Fatal(err)
 	}