diff --git a/pkg/frontend_server/analysis_options.yaml b/pkg/frontend_server/analysis_options.yaml
index 9ff1bcbc65c..e10a959bbbe 100644
--- a/pkg/frontend_server/analysis_options.yaml
+++ b/pkg/frontend_server/analysis_options.yaml
@@ -4,6 +4,8 @@ analyzer:
 
 linter:
   rules:
+    - unnecessary_type_name_in_constructor
+    - unnecessary_const_in_enum_constructor
     - collection_methods_unrelated_type
     - curly_braces_in_flow_control_structures
     - prefer_adjacent_string_concatenation
diff --git a/pkg/frontend_server/lib/compute_kernel.dart b/pkg/frontend_server/lib/compute_kernel.dart
index eaaa05efe43..1d00cb4dc3b 100644
--- a/pkg/frontend_server/lib/compute_kernel.dart
+++ b/pkg/frontend_server/lib/compute_kernel.dart
@@ -160,7 +160,7 @@ class ComputeKernelResult {
   final bool succeeded;
   final fe.InitializedCompilerState? previousState;
 
-  ComputeKernelResult(this.succeeded, this.previousState);
+  new(this.succeeded, this.previousState);
 }
 
 /// Computes a kernel file based on [args].
@@ -600,7 +600,7 @@ class _FakeFileSystem extends FileSystem {
   final Map<Uri, Uri> redirectsFromTo = {};
   final Set<Uri> redirectsTo = {};
   final FileSystem fs;
-  _FakeFileSystem(this.fs);
+  new(this.fs);
 
   void addRedirect(Uri from, Uri to) {
     redirectsTo.add(to);
@@ -621,11 +621,8 @@ class DevCompilerSummaryTarget extends DevCompilerTarget with SummaryMixin {
   @override
   final bool excludeNonSources;
 
-  DevCompilerSummaryTarget(
-    this.sources,
-    this.excludeNonSources,
-    TargetFlags targetFlags,
-  ) : super(targetFlags);
+  new(this.sources, this.excludeNonSources, TargetFlags targetFlags)
+    : super(targetFlags);
 
   @override
   bool isModularlyCompatibleWith(Target other) {
diff --git a/pkg/frontend_server/lib/frontend_server.dart b/pkg/frontend_server/lib/frontend_server.dart
index 64c9c6bffcd..90e6ea86299 100644
--- a/pkg/frontend_server/lib/frontend_server.dart
+++ b/pkg/frontend_server/lib/frontend_server.dart
@@ -573,7 +573,7 @@ class BinaryPrinterFactory {
 }
 
 class FrontendCompiler implements CompilerInterface {
-  FrontendCompiler(
+  new(
     StringSink? outputStream, {
     BinaryPrinterFactory? printerFactory,
     this.transformer,
diff --git a/pkg/frontend_server/lib/resident_frontend_server_utils.dart b/pkg/frontend_server/lib/resident_frontend_server_utils.dart
index e7e98d3a872..d0ae02e37f7 100644
--- a/pkg/frontend_server/lib/resident_frontend_server_utils.dart
+++ b/pkg/frontend_server/lib/resident_frontend_server_utils.dart
@@ -43,11 +43,7 @@ final class ResidentCompilerInfo {
     );
   }
 
-  ResidentCompilerInfo._({
-    required this.sdkHash,
-    required this.port,
-    required this.address,
-  });
+  new _({required this.sdkHash, required this.port, required this.address});
 }
 
 typedef CachedDillAndCompilerOptionsPaths = ({
@@ -152,7 +148,7 @@ final class CompileResult {
   /// The output lines produced by the compiler, if any.
   final List<String> compilerOutputLines;
 
-  CompileResult({
+  new({
     required this.outputDill,
     required this.errorCount,
     this.compilerOutputLines = const [],
@@ -171,7 +167,7 @@ final class CompileExpressionResult {
   /// The output lines produced by the compiler, if any.
   final List<String> compilerOutputLines;
 
-  CompileExpressionResult({
+  new({
     required this.kernelBytes,
     required this.errorCount,
     this.compilerOutputLines = const [],
@@ -184,7 +180,7 @@ final class CompileException implements Exception {
   /// The error message from the compiler.
   final String message;
 
-  CompileException(this.message);
+  new(this.message);
 
   @override
   String toString() => 'CompileException: $message';
diff --git a/pkg/frontend_server/lib/src/javascript_bundle.dart b/pkg/frontend_server/lib/src/javascript_bundle.dart
index 111bb99c653..ebec07c37d8 100644
--- a/pkg/frontend_server/lib/src/javascript_bundle.dart
+++ b/pkg/frontend_server/lib/src/javascript_bundle.dart
@@ -34,7 +34,7 @@ import 'strong_components.dart';
 /// an incremental build, a different file is written for each which contains
 /// only the updated libraries.
 class IncrementalJavaScriptBundler {
-  IncrementalJavaScriptBundler(
+  new(
     this._fileSystem,
     this._loadedLibraries,
     this._fileSystemScheme, {
diff --git a/pkg/frontend_server/lib/src/resident_frontend_server.dart b/pkg/frontend_server/lib/src/resident_frontend_server.dart
index 477555a7777..10134f2c629 100644
--- a/pkg/frontend_server/lib/src/resident_frontend_server.dart
+++ b/pkg/frontend_server/lib/src/resident_frontend_server.dart
@@ -97,7 +97,7 @@ class ResidentCompiler {
   File get _outputDill =>
       new File(_compileOptions.option(ResidentFrontendServer._outputString)!);
 
-  ResidentCompiler(this._entryPoint, this._compileOptions) {
+  new(this._entryPoint, this._compileOptions) {
     _compiler = new FrontendCompiler(_compilerOutput);
     updateState(_compileOptions);
   }
diff --git a/pkg/frontend_server/lib/src/strong_components.dart b/pkg/frontend_server/lib/src/strong_components.dart
index 14b17576ccc..a8b082ce6cd 100644
--- a/pkg/frontend_server/lib/src/strong_components.dart
+++ b/pkg/frontend_server/lib/src/strong_components.dart
@@ -26,12 +26,7 @@ import 'package:kernel/util/graph.dart';
 /// On incremental updates, we completely recompute the strongly connected
 /// components, but only for the partial component produced.
 class StrongComponents {
-  StrongComponents(
-    this.component,
-    this.loadedLibraries,
-    this.mainUri, [
-    this.fileSystem,
-  ]);
+  new(this.component, this.loadedLibraries, this.mainUri, [this.fileSystem]);
 
   /// The Component that is being compiled.
   ///
@@ -110,7 +105,7 @@ class StrongComponents {
 }
 
 class _LibraryGraph implements Graph<Library> {
-  _LibraryGraph(this.library, this.loadedLibraries, [this._partialComponent]);
+  new(this.library, this.loadedLibraries, [this._partialComponent]);
 
   final Library library;
   final Set<Library> loadedLibraries;
diff --git a/pkg/frontend_server/pubspec.yaml b/pkg/frontend_server/pubspec.yaml
index bbc782c353b..ecda277b6e5 100644
--- a/pkg/frontend_server/pubspec.yaml
+++ b/pkg/frontend_server/pubspec.yaml
@@ -4,7 +4,7 @@ description: A resident kernel compiler
 publish_to: none
 
 environment:
-  sdk: '^3.12.0-0'
+  sdk: '^3.13.0-0'
 
 resolution: workspace
 
diff --git a/pkg/frontend_server/test/const_finder_test.dart b/pkg/frontend_server/test/const_finder_test.dart
index 7c401e2ed46..30996455d73 100644
--- a/pkg/frontend_server/test/const_finder_test.dart
+++ b/pkg/frontend_server/test/const_finder_test.dart
@@ -451,7 +451,7 @@ enum Compiler {
 }
 
 class _Test {
-  _Test({
+  new({
     required this.name,
     required this.dartSource,
     required this.sdkRoot,
@@ -531,7 +531,7 @@ class _Test {
 
 /// Equality that casts all [num]'s to [double] before comparing.
 class Dart2JSDeepCollectionEquality extends DeepCollectionEquality {
-  const Dart2JSDeepCollectionEquality();
+  const new();
 
   @override
   bool equals(Object? e1, Object? e2) {
diff --git a/pkg/frontend_server/test/frontend_server_flutter.dart b/pkg/frontend_server/test/frontend_server_flutter.dart
index d7a16c7e4a5..b4325cdd16c 100644
--- a/pkg/frontend_server/test/frontend_server_flutter.dart
+++ b/pkg/frontend_server/test/frontend_server_flutter.dart
@@ -188,7 +188,7 @@ class _QueueEntry {
   final File packageConfig;
   final Directory testDir;
 
-  _QueueEntry(this.files, this.packageConfig, this.testDir);
+  new(this.files, this.packageConfig, this.testDir);
 }
 
 Future<void> _processFiles(
@@ -446,7 +446,7 @@ Future<List<String>> attemptStuff(
 // (expect can only be used in tests via the test framework).
 
 class OutputParser {
-  OutputParser(this._receivedResults);
+  new(this._receivedResults);
   bool expectSources = true;
 
   final StreamController<Result> _receivedResults;
@@ -500,7 +500,7 @@ class Result {
   String? status;
   List<String>? sources;
 
-  Result(this.status, this.sources);
+  new(this.status, this.sources);
 
   void expectNoErrors({String? filename}) {
     CompilationResult result = new CompilationResult.parse(status!);
@@ -519,7 +519,7 @@ class CompilationResult {
   late String filename;
   late int errorsCount;
 
-  CompilationResult.parse(String? filenameAndErrorCount) {
+  new parse(String? filenameAndErrorCount) {
     if (filenameAndErrorCount == null) {
       return;
     }
@@ -579,7 +579,7 @@ class _MockFile implements File {
   final File _f;
   _MockIOSink? writeSink;
 
-  _MockFile(this._f);
+  new(this._f);
 
   @override
   bool existsSync() {
diff --git a/pkg/frontend_server/test/frontend_server_flutter_suite.dart b/pkg/frontend_server/test/frontend_server_flutter_suite.dart
index 326b8cbb586..dfe3e84e7d6 100644
--- a/pkg/frontend_server/test/frontend_server_flutter_suite.dart
+++ b/pkg/frontend_server/test/frontend_server_flutter_suite.dart
@@ -23,7 +23,7 @@ class Options {
   final String flutterDir;
   final String flutterPlatformDir;
 
-  Options(
+  new(
     this.configurationName,
     this.verbose,
     this.printFailureLog,
@@ -86,7 +86,7 @@ class ResultLogger extends Logger {
   final Map<String, Stopwatch> stopwatches = {};
   final List<String> _log = <String>[];
 
-  ResultLogger(this.suiteConfiguration);
+  new(this.suiteConfiguration);
 
   void handleTestResult(String testName, bool matchedExpectations) {
     String fullTestName = "$suiteNamePrefix/$testName";
@@ -172,7 +172,7 @@ class SuiteConfiguration {
   final String flutterDir;
   final String flutterPlatformDir;
 
-  const SuiteConfiguration(
+  const new(
     this.resultsPort,
     this.logsPort,
     this.verbose,
diff --git a/pkg/frontend_server/test/frontend_server_test.dart b/pkg/frontend_server/test/frontend_server_test.dart
index 03aefc3efab..fcd9fd99122 100644
--- a/pkg/frontend_server/test/frontend_server_test.dart
+++ b/pkg/frontend_server/test/frontend_server_test.dart
@@ -54,7 +54,7 @@ void nopVerifyRecompileDelta(String? entryPoint) {}
 void nopVerify() {}
 
 class _MockedCompiler implements CompilerInterface {
-  _MockedCompiler({
+  new({
     this.verifyCompile = nopVerifyCompile,
     this.verifyRecompileDelta = nopVerifyRecompileDelta,
     this.verifyInvalidate = nopVerifyInvalidate,
@@ -3845,7 +3845,7 @@ class CompilationResult {
   late String filename;
   int errorsCount = 0;
 
-  CompilationResult.parse(String? filenameAndErrorCount) {
+  new parse(String? filenameAndErrorCount) {
     if (filenameAndErrorCount == null) {
       return;
     }
@@ -3864,7 +3864,7 @@ class OutputParser {
   String? _boundaryKey;
 
   bool _readingSources = false;
-  OutputParser(this._receivedResults);
+  new(this._receivedResults);
 
   void listener(String s) {
     if (_boundaryKey == null) {
@@ -3910,7 +3910,7 @@ class Result {
   String? status;
   List<String> sources;
 
-  Result(this.status, this.sources);
+  new(this.status, this.sources);
 
   void expectNoErrors({String? filename}) {
     CompilationResult result = new CompilationResult.parse(status);
@@ -3927,7 +3927,7 @@ Matcher not(Matcher matcher) => new NotMatcher(matcher);
 class NotMatcher extends Matcher {
   final Matcher matcher;
 
-  const NotMatcher(this.matcher);
+  const new(this.matcher);
 
   @override
   Description describe(Description description) =>
@@ -3947,7 +3947,7 @@ class FrontendServer {
   final StreamController<Result> receivedResults;
   final OutputParser outputParser;
 
-  factory FrontendServer() {
+  factory() {
     final StreamController<List<int>> inputStreamController =
         new StreamController<List<int>>();
     final StreamController<List<int>> stdoutStreamController =
@@ -3968,7 +3968,7 @@ class FrontendServer {
     );
   }
 
-  FrontendServer._internal(
+  new _internal(
     this.inputStreamController,
     this.stdoutStreamController,
     this.ioSink,