diff --git a/README.md b/README.md
index 8f636a6..4d5ef7a 100644
--- a/README.md
+++ b/README.md
@@ -6,7 +6,7 @@
 example, the [`test`][test] package uses boolean selectors to allow users to
 define what platforms their tests support.
 
-[test]: http://github.com/dart-lang/test
+[test]: https://github.com/dart-lang/test
 
 The boolean selector syntax is based on a simplified version of Dart's
 expression syntax. Selectors can contain identifiers, parentheses, and boolean
@@ -16,7 +16,7 @@
 selectors.
 
 A boolean selector is parsed from a string using
-[`new BooleanSelector.parse()`][parse], and evaluated against a set of variables
+[`BooleanSelector.parse()`][parse], and evaluated against a set of variables
 using [`BooleanSelector.evaluate()`][evaluate]. The variables are supplied as
 a function that takes a variable name and returns its value. For example:
 
@@ -28,7 +28,7 @@
 import 'package:boolean_selector/boolean_selector.dart';
 
 void main(List<String> args) {
-  var selector = new BooleanSelector.parse("(x && y) || z");
+  var selector = BooleanSelector.parse("(x && y) || z");
   print(selector.evaluate((variable) => args.contains(variable)));
 }
 ```