diff --git a/src/PseudoTypes/NegativeInteger.php b/src/PseudoTypes/NegativeInteger.php
index c51d3fe..ebcab6f 100644
--- a/src/PseudoTypes/NegativeInteger.php
+++ b/src/PseudoTypes/NegativeInteger.php
@@ -18,7 +18,7 @@
 use phpDocumentor\Reflection\Types\Integer;
 
 /**
- * Value Object representing the type 'int'.
+ * Value Object representing the type 'negative-int'.
  *
  * @psalm-immutable
  */
diff --git a/src/PseudoTypes/NonFalsyString.php b/src/PseudoTypes/NonFalsyString.php
new file mode 100644
index 0000000..9063f74
--- /dev/null
+++ b/src/PseudoTypes/NonFalsyString.php
@@ -0,0 +1,36 @@
+<?php
+
+declare(strict_types=1);
+
+/**
+ * This file is part of phpDocumentor.
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ *
+ * @link      http://phpdoc.org
+ */
+
+namespace phpDocumentor\Reflection\PseudoTypes;
+
+use phpDocumentor\Reflection\PseudoType;
+use phpDocumentor\Reflection\Type;
+use phpDocumentor\Reflection\Types\String_;
+
+/**
+ * Value Object representing the type 'non-falsy-string'.
+ *
+ * @psalm-immutable
+ */
+final class NonFalsyString extends String_ implements PseudoType
+{
+    public function underlyingType(): Type
+    {
+        return new String_();
+    }
+
+    public function __toString(): string
+    {
+        return 'non-falsy-string';
+    }
+}
diff --git a/src/PseudoTypes/NonNegativeInteger.php b/src/PseudoTypes/NonNegativeInteger.php
new file mode 100644
index 0000000..3b941a0
--- /dev/null
+++ b/src/PseudoTypes/NonNegativeInteger.php
@@ -0,0 +1,39 @@
+<?php
+
+declare(strict_types=1);
+
+/**
+ * This file is part of phpDocumentor.
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ *
+ * @link      http://phpdoc.org
+ */
+
+namespace phpDocumentor\Reflection\PseudoTypes;
+
+use phpDocumentor\Reflection\PseudoType;
+use phpDocumentor\Reflection\Type;
+use phpDocumentor\Reflection\Types\Integer;
+
+/**
+ * Value Object representing the type 'non-negative-int'.
+ *
+ * @psalm-immutable
+ */
+final class NonNegativeInteger extends Integer implements PseudoType
+{
+    public function underlyingType(): Type
+    {
+        return new Integer();
+    }
+
+    /**
+     * Returns a rendered output of the Type as it would be used in a DocBlock.
+     */
+    public function __toString(): string
+    {
+        return 'non-negative-int';
+    }
+}
diff --git a/src/PseudoTypes/NonPositiveInteger.php b/src/PseudoTypes/NonPositiveInteger.php
new file mode 100644
index 0000000..a66125c
--- /dev/null
+++ b/src/PseudoTypes/NonPositiveInteger.php
@@ -0,0 +1,36 @@
+<?php
+
+declare(strict_types=1);
+
+/**
+ * This file is part of phpDocumentor.
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ *
+ * @link      http://phpdoc.org
+ */
+
+namespace phpDocumentor\Reflection\PseudoTypes;
+
+use phpDocumentor\Reflection\PseudoType;
+use phpDocumentor\Reflection\Type;
+use phpDocumentor\Reflection\Types\Integer;
+
+/**
+ * Value Object representing the type 'non-positive-int'.
+ *
+ * @psalm-immutable
+ */
+final class NonPositiveInteger extends Integer implements PseudoType
+{
+    public function underlyingType(): Type
+    {
+        return new Integer();
+    }
+
+    public function __toString(): string
+    {
+        return 'non-positive-int';
+    }
+}
diff --git a/src/PseudoTypes/NonZeroInteger.php b/src/PseudoTypes/NonZeroInteger.php
new file mode 100644
index 0000000..41e0c4c
--- /dev/null
+++ b/src/PseudoTypes/NonZeroInteger.php
@@ -0,0 +1,39 @@
+<?php
+
+declare(strict_types=1);
+
+/**
+ * This file is part of phpDocumentor.
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ *
+ * @link      http://phpdoc.org
+ */
+
+namespace phpDocumentor\Reflection\PseudoTypes;
+
+use phpDocumentor\Reflection\PseudoType;
+use phpDocumentor\Reflection\Type;
+use phpDocumentor\Reflection\Types\Integer;
+
+/**
+ * Value Object representing the type 'non-zero-int'.
+ *
+ * @psalm-immutable
+ */
+final class NonZeroInteger extends Integer implements PseudoType
+{
+    public function underlyingType(): Type
+    {
+        return new Integer();
+    }
+
+    /**
+     * Returns a rendered output of the Type as it would be used in a DocBlock.
+     */
+    public function __toString(): string
+    {
+        return 'non-zero-int';
+    }
+}
diff --git a/src/PseudoTypes/PositiveInteger.php b/src/PseudoTypes/PositiveInteger.php
index c52184d..3980544 100644
--- a/src/PseudoTypes/PositiveInteger.php
+++ b/src/PseudoTypes/PositiveInteger.php
@@ -18,7 +18,7 @@
 use phpDocumentor\Reflection\Types\Integer;
 
 /**
- * Value Object representing the type 'int'.
+ * Value Object representing the type 'positive-int'.
  *
  * @psalm-immutable
  */
diff --git a/src/PseudoTypes/TruthyString.php b/src/PseudoTypes/TruthyString.php
new file mode 100644
index 0000000..4cb8687
--- /dev/null
+++ b/src/PseudoTypes/TruthyString.php
@@ -0,0 +1,36 @@
+<?php
+
+declare(strict_types=1);
+
+/**
+ * This file is part of phpDocumentor.
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ *
+ * @link      http://phpdoc.org
+ */
+
+namespace phpDocumentor\Reflection\PseudoTypes;
+
+use phpDocumentor\Reflection\PseudoType;
+use phpDocumentor\Reflection\Type;
+use phpDocumentor\Reflection\Types\String_;
+
+/**
+ * Value Object representing the type 'truthy-string'.
+ *
+ * @psalm-immutable
+ */
+final class TruthyString extends String_ implements PseudoType
+{
+    public function underlyingType(): Type
+    {
+        return new String_();
+    }
+
+    public function __toString(): string
+    {
+        return 'truthy-string';
+    }
+}
diff --git a/src/TypeResolver.php b/src/TypeResolver.php
index b122f2c..858b70b 100644
--- a/src/TypeResolver.php
+++ b/src/TypeResolver.php
@@ -44,6 +44,10 @@
 use phpDocumentor\Reflection\PseudoTypes\NonEmptyList;
 use phpDocumentor\Reflection\PseudoTypes\NonEmptyLowercaseString;
 use phpDocumentor\Reflection\PseudoTypes\NonEmptyString;
+use phpDocumentor\Reflection\PseudoTypes\NonFalsyString;
+use phpDocumentor\Reflection\PseudoTypes\NonNegativeInteger;
+use phpDocumentor\Reflection\PseudoTypes\NonPositiveInteger;
+use phpDocumentor\Reflection\PseudoTypes\NonZeroInteger;
 use phpDocumentor\Reflection\PseudoTypes\Numeric_;
 use phpDocumentor\Reflection\PseudoTypes\NumericString;
 use phpDocumentor\Reflection\PseudoTypes\ObjectShape;
@@ -58,6 +62,7 @@
 use phpDocumentor\Reflection\PseudoTypes\StringValue;
 use phpDocumentor\Reflection\PseudoTypes\TraitString;
 use phpDocumentor\Reflection\PseudoTypes\True_;
+use phpDocumentor\Reflection\PseudoTypes\TruthyString;
 use phpDocumentor\Reflection\PseudoTypes\ValueOf;
 use phpDocumentor\Reflection\Types\AggregatedType;
 use phpDocumentor\Reflection\Types\Array_;
@@ -179,6 +184,11 @@ final class TypeResolver
         'never' => Never_::class,
         'list' => List_::class,
         'non-empty-list' => NonEmptyList::class,
+        'non-falsy-string' => NonFalsyString::class,
+        'truthy-string' => TruthyString::class,
+        'non-positive-int' => NonPositiveInteger::class,
+        'non-negative-int' => NonNegativeInteger::class,
+        'non-zero-int' => NonZeroInteger::class,
     ];
 
     /**
diff --git a/tests/unit/PseudoTypes/NonFalsyStringTest.php b/tests/unit/PseudoTypes/NonFalsyStringTest.php
new file mode 100644
index 0000000..ada455e
--- /dev/null
+++ b/tests/unit/PseudoTypes/NonFalsyStringTest.php
@@ -0,0 +1,32 @@
+<?php
+
+declare(strict_types=1);
+
+/**
+ * This file is part of phpDocumentor.
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ *
+ * @link      http://phpdoc.org
+ */
+
+namespace phpDocumentor\Reflection\PseudoTypes;
+
+use phpDocumentor\Reflection\Types\String_;
+use PHPUnit\Framework\TestCase;
+
+final class NonFalsyStringTest extends TestCase
+{
+    public function testCreate(): void
+    {
+        $type = new NonFalsyString();
+
+        $this->assertEquals(new String_(), $type->underlyingType());
+    }
+
+    public function testToString(): void
+    {
+        $this->assertSame('non-falsy-string', (string) (new NonFalsyString()));
+    }
+}
diff --git a/tests/unit/PseudoTypes/NonNegativeIntegerTest.php b/tests/unit/PseudoTypes/NonNegativeIntegerTest.php
new file mode 100644
index 0000000..5ccf66e
--- /dev/null
+++ b/tests/unit/PseudoTypes/NonNegativeIntegerTest.php
@@ -0,0 +1,32 @@
+<?php
+
+declare(strict_types=1);
+
+/**
+ * This file is part of phpDocumentor.
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ *
+ * @link      http://phpdoc.org
+ */
+
+namespace phpDocumentor\Reflection\PseudoTypes;
+
+use phpDocumentor\Reflection\Types\Integer;
+use PHPUnit\Framework\TestCase;
+
+final class NonNegativeIntegerTest extends TestCase
+{
+    public function testCreate(): void
+    {
+        $type = new NonNegativeInteger();
+
+        $this->assertEquals(new Integer(), $type->underlyingType());
+    }
+
+    public function testToString(): void
+    {
+        $this->assertSame('non-negative-int', (string) (new NonNegativeInteger()));
+    }
+}
diff --git a/tests/unit/PseudoTypes/NonPositiveIntegerTest.php b/tests/unit/PseudoTypes/NonPositiveIntegerTest.php
new file mode 100644
index 0000000..dcdf085
--- /dev/null
+++ b/tests/unit/PseudoTypes/NonPositiveIntegerTest.php
@@ -0,0 +1,32 @@
+<?php
+
+declare(strict_types=1);
+
+/**
+ * This file is part of phpDocumentor.
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ *
+ * @link      http://phpdoc.org
+ */
+
+namespace phpDocumentor\Reflection\PseudoTypes;
+
+use phpDocumentor\Reflection\Types\Integer;
+use PHPUnit\Framework\TestCase;
+
+final class NonPositiveIntegerTest extends TestCase
+{
+    public function testCreate(): void
+    {
+        $type = new NonPositiveInteger();
+
+        $this->assertEquals(new Integer(), $type->underlyingType());
+    }
+
+    public function testToString(): void
+    {
+        $this->assertSame('non-positive-int', (string) (new NonPositiveInteger()));
+    }
+}
diff --git a/tests/unit/PseudoTypes/NonZeroIntegerTest.php b/tests/unit/PseudoTypes/NonZeroIntegerTest.php
new file mode 100644
index 0000000..4ed3bf3
--- /dev/null
+++ b/tests/unit/PseudoTypes/NonZeroIntegerTest.php
@@ -0,0 +1,32 @@
+<?php
+
+declare(strict_types=1);
+
+/**
+ * This file is part of phpDocumentor.
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ *
+ * @link      http://phpdoc.org
+ */
+
+namespace phpDocumentor\Reflection\PseudoTypes;
+
+use phpDocumentor\Reflection\Types\Integer;
+use PHPUnit\Framework\TestCase;
+
+final class NonZeroIntegerTest extends TestCase
+{
+    public function testCreate(): void
+    {
+        $type = new NonZeroInteger();
+
+        $this->assertEquals(new Integer(), $type->underlyingType());
+    }
+
+    public function testToString(): void
+    {
+        $this->assertSame('non-zero-int', (string) (new NonZeroInteger()));
+    }
+}
diff --git a/tests/unit/PseudoTypes/TruthyStringTest.php b/tests/unit/PseudoTypes/TruthyStringTest.php
new file mode 100644
index 0000000..5bf781c
--- /dev/null
+++ b/tests/unit/PseudoTypes/TruthyStringTest.php
@@ -0,0 +1,32 @@
+<?php
+
+declare(strict_types=1);
+
+/**
+ * This file is part of phpDocumentor.
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ *
+ * @link      http://phpdoc.org
+ */
+
+namespace phpDocumentor\Reflection\PseudoTypes;
+
+use phpDocumentor\Reflection\Types\String_;
+use PHPUnit\Framework\TestCase;
+
+final class TruthyStringTest extends TestCase
+{
+    public function testCreate(): void
+    {
+        $type = new TruthyString();
+
+        $this->assertEquals(new String_(), $type->underlyingType());
+    }
+
+    public function testToString(): void
+    {
+        $this->assertSame('truthy-string', (string) (new TruthyString()));
+    }
+}
diff --git a/tests/unit/TypeResolverTest.php b/tests/unit/TypeResolverTest.php
index 4919aa1..287688f 100644
--- a/tests/unit/TypeResolverTest.php
+++ b/tests/unit/TypeResolverTest.php
@@ -44,6 +44,10 @@
 use phpDocumentor\Reflection\PseudoTypes\NonEmptyList;
 use phpDocumentor\Reflection\PseudoTypes\NonEmptyLowercaseString;
 use phpDocumentor\Reflection\PseudoTypes\NonEmptyString;
+use phpDocumentor\Reflection\PseudoTypes\NonFalsyString;
+use phpDocumentor\Reflection\PseudoTypes\NonNegativeInteger;
+use phpDocumentor\Reflection\PseudoTypes\NonPositiveInteger;
+use phpDocumentor\Reflection\PseudoTypes\NonZeroInteger;
 use phpDocumentor\Reflection\PseudoTypes\Numeric_;
 use phpDocumentor\Reflection\PseudoTypes\NumericString;
 use phpDocumentor\Reflection\PseudoTypes\ObjectShape;
@@ -58,6 +62,7 @@
 use phpDocumentor\Reflection\PseudoTypes\StringValue;
 use phpDocumentor\Reflection\PseudoTypes\TraitString;
 use phpDocumentor\Reflection\PseudoTypes\True_;
+use phpDocumentor\Reflection\PseudoTypes\TruthyString;
 use phpDocumentor\Reflection\PseudoTypes\ValueOf;
 use phpDocumentor\Reflection\Types\Array_;
 use phpDocumentor\Reflection\Types\Boolean;
@@ -675,6 +680,11 @@ public function provideKeywords(): array
             ['list', List_::class],
             ['non-empty-list', NonEmptyList::class],
             ['non-empty-array', NonEmptyArray::class],
+            ['non-falsy-string', NonFalsyString::class],
+            ['truthy-string', TruthyString::class],
+            ['non-positive-int', NonPositiveInteger::class],
+            ['non-negative-int', NonNegativeInteger::class],
+            ['non-zero-int', NonZeroInteger::class],
         ];
     }
 
@@ -1155,6 +1165,14 @@ public function callableProvider(): array
                 'callable',
                 new Callable_(),
             ],
+            [
+                'pure-callable(int): int',
+                new Callable_(
+                    'pure-callable',
+                    [new CallableParameter(new Integer())],
+                    new Integer()
+                ),
+            ],
             [
                 'callable()',
                 new Callable_(),
diff --git a/tests/unit/Types/CallableTest.php b/tests/unit/Types/CallableTest.php
index 6eca238..a99e048 100644
--- a/tests/unit/Types/CallableTest.php
+++ b/tests/unit/Types/CallableTest.php
@@ -72,6 +72,14 @@ public static function provideToStringData(): array
                 'callable',
                 new Callable_(),
             ],
+            'pure' => [
+                'pure-callable(int): int',
+                new Callable_(
+                    'pure-callable',
+                    [new CallableParameter(new Integer())],
+                    new Integer()
+                ),
+            ],
             'closure' => [
                 '\Closure',
                 new Callable_('\Closure'),