diff --git a/.travis.yml b/.travis.yml
index a7969b242..a994034de 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -3,7 +3,6 @@ sudo: false
 language: php
 
 php:
-  - 5.4
   - 5.5
   - 5.6
   - 7.0
diff --git a/composer.json b/composer.json
index bf3b78f03..d92b4be26 100644
--- a/composer.json
+++ b/composer.json
@@ -28,11 +28,11 @@
         }
     ],
     "require": {
-        "php": ">=5.4.0",
-        "pimple/pimple": "3.*",
-        "psr/http-message": "1.0",
+        "php": ">=5.5.0",
+        "pimple/pimple": "^3.0",
+        "psr/http-message": "^1.0",
         "nikic/fast-route": "^0.6",
-        "container-interop/container-interop": "~1.1"
+        "container-interop/container-interop": "^1.1"
     },
     "require-dev": {
         "phpunit/phpunit": "^4.0"