diff --git a/doc/rules.md b/doc/rules.md
index dd531ada..d5afcc57 100644
--- a/doc/rules.md
+++ b/doc/rules.md
@@ -1171,6 +1171,8 @@ Options: `boolean`, default: `false`.
 
   Warn when the horizontal rules violate a given or detected style.
 
+  Note that horizontal rules are also called “thematic break”.
+
   Options: `string`, either a valid markdown rule, or `consistent`,
   default: `'consistent'`.
 
diff --git a/lib/rules/no-literal-urls.js b/lib/rules/no-literal-urls.js
index 2ec32e96..8ed65a21 100644
--- a/lib/rules/no-literal-urls.js
+++ b/lib/rules/no-literal-urls.js
@@ -61,7 +61,7 @@ function noLiteralURLs(ast, file, preferred, done) {
         if (
             initial === head &&
             final === tail &&
-            (value === node.href || value == MAILTO + node.href)
+            (value === node.url || value == MAILTO + node.url)
         ) {
             file.warn('Don’t use literal URLs without angle brackets', node);
         }
diff --git a/lib/rules/no-missing-blank-lines.js b/lib/rules/no-missing-blank-lines.js
index 75574bcb..73c5de4f 100644
--- a/lib/rules/no-missing-blank-lines.js
+++ b/lib/rules/no-missing-blank-lines.js
@@ -43,7 +43,7 @@ function isApplicable(node) {
         'html',
         'list',
         'table',
-        'horizontalRule'
+        'thematicBreak'
     ].indexOf(node.type) !== -1;
 }
 
diff --git a/lib/rules/rule-style.js b/lib/rules/rule-style.js
index 15fa7d35..f6f55d13 100644
--- a/lib/rules/rule-style.js
+++ b/lib/rules/rule-style.js
@@ -6,6 +6,8 @@
  * @fileoverview
  *   Warn when the horizontal rules violate a given or detected style.
  *
+ *   Note that horizontal rules are also called “thematic break”.
+ *
  *   Options: `string`, either a valid markdown rule, or `consistent`,
  *   default: `'consistent'`.
  * @example
@@ -71,7 +73,7 @@ function ruleStyle(ast, file, preferred, done) {
         return;
     }
 
-    visit(ast, 'horizontalRule', function (node) {
+    visit(ast, 'thematicBreak', function (node) {
         var initial = start(node).offset;
         var final = end(node).offset;
         var hr;
@@ -84,7 +86,7 @@ function ruleStyle(ast, file, preferred, done) {
 
         if (preferred) {
             if (hr !== preferred) {
-                file.warn('Horizontal rules should use `' + preferred + '`', node);
+                file.warn('Rules should use `' + preferred + '`', node);
             }
         } else {
             preferred = hr;
diff --git a/package.json b/package.json
index 6b13aecf..dade616e 100644
--- a/package.json
+++ b/package.json
@@ -39,10 +39,10 @@
     "istanbul": "^0.4.0",
     "jscs": "^2.0.0",
     "jscs-jsdoc": "^1.0.0",
-    "remark": "^3.0.0",
-    "remark-comment-config": "^2.0.0",
-    "remark-github": "^4.0.0",
-    "remark-toc": "^2.0.0",
+    "remark": "^4.0.0-alpha.4",
+    "remark-comment-config": "^3.0.0",
+    "remark-github": "^4.0.1",
+    "remark-toc": "^3.0.0",
     "remark-validate-links": "^2.0.0",
     "mocha": "^2.0.0",
     "vfile": "^1.0.0"
diff --git a/script/build-rule-documentation.js b/script/build-rule-documentation.js
index 30e5b256..cfcf475e 100755
--- a/script/build-rule-documentation.js
+++ b/script/build-rule-documentation.js
@@ -89,7 +89,7 @@ children.push(
             },
             {
                 'type': 'link',
-                'href': 'https://github.com/wooorm/remark-lint#list-of-external-rules',
+                'url': 'https://github.com/wooorm/remark-lint#list-of-external-rules',
                 'children': [{
                     'type': 'text',
                     'value': 'list of external rules'
diff --git a/test/index.js b/test/index.js
index c9df0b3d..573c2d43 100644
--- a/test/index.js
+++ b/test/index.js
@@ -1658,9 +1658,9 @@ describe('Rules', function () {
 
         describeSetting(true, function () {
             assertFile('rule-style-invalid.md', [
-                'rule-style-invalid.md:7:1-7:10: Horizontal rules should use `* * * *`',
-                'rule-style-invalid.md:11:1-11:6: Horizontal rules should use `* * * *`',
-                'rule-style-invalid.md:15:1-15:5: Horizontal rules should use `* * * *`'
+                'rule-style-invalid.md:7:1-7:10: Rules should use `* * * *`',
+                'rule-style-invalid.md:11:1-11:6: Rules should use `* * * *`',
+                'rule-style-invalid.md:15:1-15:5: Rules should use `* * * *`'
             ]);
 
             assertFile('rule-style-valid.md', []);