diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml
index e96052e..68fac01 100644
--- a/.github/workflows/build.yml
+++ b/.github/workflows/build.yml
@@ -31,4 +31,4 @@ jobs:
       os: >-
         ['ubuntu-latest', 'windows-latest']
       php: >-
-        ['8.0', '8.1', '8.2', '8.3']
+        ['8.0', '8.1', '8.2', '8.3', '8.4']
diff --git a/.github/workflows/composer-require-checker.yml b/.github/workflows/composer-require-checker.yml
index 5473ec9..632bfd4 100644
--- a/.github/workflows/composer-require-checker.yml
+++ b/.github/workflows/composer-require-checker.yml
@@ -31,4 +31,4 @@ jobs:
       os: >-
         ['ubuntu-latest']
       php: >-
-        ['8.0', '8.1', '8.2', '8.3']
+        ['8.0', '8.1', '8.2', '8.3', '8.4']
diff --git a/.github/workflows/rector.yml b/.github/workflows/rector.yml
index 457772a..5d6931d 100644
--- a/.github/workflows/rector.yml
+++ b/.github/workflows/rector.yml
@@ -21,4 +21,4 @@ jobs:
       os: >-
         ['ubuntu-latest']
       php: >-
-        ['8.3']
+        ['8.4']
diff --git a/.github/workflows/static.yml b/.github/workflows/static.yml
index d873c39..28a40b8 100644
--- a/.github/workflows/static.yml
+++ b/.github/workflows/static.yml
@@ -24,26 +24,26 @@ on:
 name: static analysis
 
 jobs:
-  psalm:
+  psalm80:
     uses: yiisoft/actions/.github/workflows/psalm.yml@master
     with:
+      psalm-config: psalm80.xml
       os: >-
         ['ubuntu-latest']
       php: >-
-        ['8.1', '8.2']
-  psalm80:
+        ['8.0']
+  psalm81-82:
     uses: yiisoft/actions/.github/workflows/psalm.yml@master
     with:
-      psalm-config: psalm80.xml
+      psalm-config: psalm81-82.xml
       os: >-
         ['ubuntu-latest']
       php: >-
-        ['8.0']
-  psalm83:
+        ['8.1', '8.2']
+  psalm:
     uses: yiisoft/actions/.github/workflows/psalm.yml@master
     with:
-      psalm-config: psalm83.xml
       os: >-
         ['ubuntu-latest']
       php: >-
-        ['8.3']
+        ['8.3', '8.4']
diff --git a/CHANGELOG.md b/CHANGELOG.md
index 37b10e0..46e2aa4 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,7 +2,7 @@
 
 ## 1.0.3 under development
 
-- no changes in this release.
+- Chg #44: Change PHP constraint in `composer.json` to `8.0 - 8.4` (@vjik)
 
 ## 1.0.2 August 06, 2024
 
diff --git a/composer.json b/composer.json
index 1414345..288311a 100644
--- a/composer.json
+++ b/composer.json
@@ -29,23 +29,23 @@
     ],
     "prefer-stable": true,
     "require": {
-        "php": "^8.0",
+        "php": "8.0 - 8.4",
         "ext-filter": "*",
-        "psr/http-message": "^1.0|^2.0",
+        "psr/http-message": "^1.0 || ^2.0",
         "psr/http-server-handler": "^1.0",
         "psr/http-server-middleware": "^1.0",
         "yiisoft/http": "^1.2",
         "yiisoft/network-utilities": "^1.1"
     },
     "require-dev": {
-        "httpsoft/http-message": "^1.0",
+        "httpsoft/http-message": "^1.1.6",
         "maglnet/composer-require-checker": "^4.4",
-        "phpunit/phpunit": "^9.5",
-        "rector/rector": "^0.16.0",
-        "roave/infection-static-analysis-plugin": "^1.16",
-        "spatie/phpunit-watcher": "^1.23",
-        "vimeo/psalm": "^4.30|^5.24",
-        "yiisoft/test-support": "^3.0"
+        "phpunit/phpunit": "^9.6.22",
+        "rector/rector": "^2.0.10",
+        "roave/infection-static-analysis-plugin": "^1.25",
+        "spatie/phpunit-watcher": "^1.23.6",
+        "vimeo/psalm": "^4.30 || ^5.26.1 || ^6.9.1",
+        "yiisoft/test-support": "^3.0.2"
     },
     "autoload": {
         "psr-4": {
diff --git a/psalm.xml b/psalm.xml
index b48c894..11ada94 100644
--- a/psalm.xml
+++ b/psalm.xml
@@ -3,6 +3,7 @@
     errorLevel="1"
     findUnusedBaselineEntry="true"
     findUnusedCode="false"
+    ensureOverrideAttribute="false"
     xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
     xmlns="https://getpsalm.org/schema/config"
     xsi:schemaLocation="https://getpsalm.org/schema/config vendor/vimeo/psalm/config.xsd"
@@ -16,5 +17,6 @@
     <issueHandlers>
         <MixedAssignment errorLevel="suppress" />
         <RiskyTruthyFalsyComparison errorLevel="suppress" />
+        <MissingClassConstType errorLevel="suppress" />
     </issueHandlers>
 </psalm>
diff --git a/psalm83.xml b/psalm81-82.xml
similarity index 91%
rename from psalm83.xml
rename to psalm81-82.xml
index ee80eb3..2b2e0b2 100644
--- a/psalm83.xml
+++ b/psalm81-82.xml
@@ -3,6 +3,7 @@
     errorLevel="1"
     findUnusedBaselineEntry="true"
     findUnusedCode="false"
+    ensureOverrideAttribute="false"
     xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
     xmlns="https://getpsalm.org/schema/config"
     xsi:schemaLocation="https://getpsalm.org/schema/config vendor/vimeo/psalm/config.xsd"
@@ -16,6 +17,5 @@
     <issueHandlers>
         <MixedAssignment errorLevel="suppress" />
         <RiskyTruthyFalsyComparison errorLevel="suppress" />
-        <MissingClassConstType errorLevel="suppress" />
     </issueHandlers>
 </psalm>
diff --git a/rector.php b/rector.php
index 20acccd..c2226bf 100644
--- a/rector.php
+++ b/rector.php
@@ -4,26 +4,17 @@
 
 use Rector\CodeQuality\Rector\Class_\InlineConstructorDefaultToPropertyRector;
 use Rector\Config\RectorConfig;
-use Rector\Php56\Rector\FunctionLike\AddDefaultValueForUndefinedVariableRector;
 use Rector\Php74\Rector\Closure\ClosureToArrowFunctionRector;
-use Rector\Set\ValueObject\LevelSetList;
 
-return static function (RectorConfig $rectorConfig): void {
-    $rectorConfig->paths([
+return RectorConfig::configure()
+    ->withPaths([
         __DIR__ . '/src',
         __DIR__ . '/tests',
-    ]);
-
-    // register a single rule
-    $rectorConfig->rule(InlineConstructorDefaultToPropertyRector::class);
-
-    // define sets of rules
-    $rectorConfig->sets([
-        LevelSetList::UP_TO_PHP_80,
-    ]);
-
-    $rectorConfig->skip([
+    ])
+    ->withPhpSets(php80: true)
+    ->withRules([
+        InlineConstructorDefaultToPropertyRector::class,
+    ])
+    ->withSkip([
         ClosureToArrowFunctionRector::class,
-        AddDefaultValueForUndefinedVariableRector::class,
     ]);
-};
diff --git a/src/TrustedHostsNetworkResolver.php b/src/TrustedHostsNetworkResolver.php
index 444b4dd..19877ca 100644
--- a/src/TrustedHostsNetworkResolver.php
+++ b/src/TrustedHostsNetworkResolver.php
@@ -62,6 +62,8 @@
  *     port: ?int,
  *     ipIdentifier: ?non-empty-string,
  * }
+ *
+ * @psalm-suppress ClassMustBeFinal We allow to extend this class.
  */
 class TrustedHostsNetworkResolver implements MiddlewareInterface
 {
@@ -522,7 +524,7 @@ private function normalizeHeaderName(string $headerName): string
     /**
      * @psalm-param non-empty-string $remoteAddr
      *
-     * @psalm-return array{0: ForwardedHeaderGroup, 1: list<RawConnectionChainItem>}
+     * @psalm-return array{0: ForwardedHeaderGroup, 1: non-empty-list<RawConnectionChainItem>}
      *
      * @throws InvalidConnectionChainItemException
      * @throws RfcProxyParseException
@@ -551,6 +553,9 @@ private function getConnectionChainItems(string $remoteAddr, ServerRequestInterf
             }
 
             $items = [];
+            /**
+             * @psalm-var non-empty-list<string> $requestIps It needs for PHP 8.0 only
+             */
             $requestIps = array_merge([$remoteAddr], array_reverse($forwardedHeaderValue));
             foreach ($requestIps as $requestIp) {
                 $items[] = $this->getConnectionChainItem(
@@ -761,7 +766,7 @@ private function getConnectionChainItem(
     }
 
     /**
-     * @psalm-param list<RawConnectionChainItem> $items
+     * @psalm-param non-empty-list<RawConnectionChainItem> $items
      * @psalm-param list<ConnectionChainItem> $validatedItems
      * @psalm-param-out list<ConnectionChainItem> $validatedItems
      *