diff --git a/doc/conjunction.qbk b/doc/conjunction.qbk
new file mode 100644
index 0000000..668ec3f
--- /dev/null
+++ b/doc/conjunction.qbk
@@ -0,0 +1,36 @@
+[/
+Copyright 2020 Glen Joseph Fernandes
+(glenjofe@gmail.com)
+
+Distributed under the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt
+or copy at http://www.boost.org/LICENSE_1_0.txt).
+]
+
+[section:conjunction conjunction]
+
+    template<class... T>
+    struct conjunction;
+
+__inherit Inherits from the first type `U` in the list for which
+`bool(U::value)` is `false`, or the last type in the list if there is no such
+type. If `sizeof...(T)` is `0` then inherits from `__true_type`.
+
+__header `#include <boost/type_traits/conjunction.hpp>`
+
+[all_compilers] In the absence of variadic-template support, `conjunction` has
+only 2 parameters.
+
+__examples
+
+[:Given: `template<int N> struct Int { static const int value = N };` ]
+
+[:`conjunction<>` inherits from `__true_type`.]
+
+[:`conjunction<Int<1> >` inherits from `Int<1>`.]
+
+[:`conjunction<Int<1>, Int<2>, Int<3> >` inherits from `Int<3>`.]
+
+[:`conjunction<Int<1>, Int<0>, Int<3> >` inherits from `Int<0>`.]
+
+[endsect]
diff --git a/doc/disjunction.qbk b/doc/disjunction.qbk
new file mode 100644
index 0000000..bbaf7a1
--- /dev/null
+++ b/doc/disjunction.qbk
@@ -0,0 +1,36 @@
+[/
+Copyright 2020 Glen Joseph Fernandes
+(glenjofe@gmail.com)
+
+Distributed under the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt
+or copy at http://www.boost.org/LICENSE_1_0.txt).
+]
+
+[section:disjunction disjunction]
+
+    template<class... T>
+    struct disjunction;
+
+__inherit Inherits from the first type `U` in the list for which
+`bool(U::value)` is `true`, or the last type in the list if there is no such
+type. If `sizeof...(T)` is `0` then inherits from `__false_type`.
+
+__header `#include <boost/type_traits/disjunction.hpp>`
+
+[all_compilers] In the absence of variadic-template support, `disjunction` has
+only 2 parameters.
+
+__examples
+
+[:Given: `template<int N> struct Int { static const int value = N };` ]
+
+[:`disjunction<>` inherits from `__false_type`.]
+
+[:`disjunction<Int<1> >` inherits from `Int<1>`.]
+
+[:`disjunction<Int<1>, Int<2>, Int<3> >` inherits from `Int<1>`.]
+
+[:`disjunction<Int<0>, Int<2>, Int<3> >` inherits from `Int<2>`.]
+
+[endsect]
diff --git a/doc/negation.qbk b/doc/negation.qbk
new file mode 100644
index 0000000..0bf5501
--- /dev/null
+++ b/doc/negation.qbk
@@ -0,0 +1,35 @@
+[/
+Copyright 2020 Glen Joseph Fernandes
+(glenjofe@gmail.com)
+
+Distributed under the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt
+or copy at http://www.boost.org/LICENSE_1_0.txt).
+]
+
+[section:negation negation]
+
+    template<class T>
+    struct negation
+        : public __integral_constant<bool, !bool(T::value)> { };
+
+__inherit Inherits from `__integral_constant<bool, !bool(T::value)>`.
+
+__header `#include <boost/type_traits/negation.hpp>`
+
+[all_compilers]
+
+__examples
+
+[:`negation<__true_type>` inherits from `__false_type`.]
+
+[:`negation<__false_type>` inherits from `__true_type`.]
+
+[:`negation<__integral_constant<int, 4> >::type` is the type `__false_type`.]
+
+[:`negation<__integral_constant<int, 0> >::value` is an integral constant
+expression that evaluates to /true/.]
+
+[:`negation<T>::value_type` is the type `bool`.]
+
+[endsect]
diff --git a/doc/type_traits.qbk b/doc/type_traits.qbk
index ce3f1d4..b67ed55 100644
--- a/doc/type_traits.qbk
+++ b/doc/type_traits.qbk
@@ -129,6 +129,9 @@
 [def __add_cv [link boost_typetraits.reference.add_cv add_cv]]
 [def __common_type [link boost_typetraits.reference.common_type common_type]]
 [def __conditional [link boost_typetraits.reference.conditional conditional]]
+[def __conjunction [link boost_typetraits.reference.conjunction conjunction]]
+[def __disjunction [link boost_typetraits.reference.disjunction disjunction]]
+[def __negation [link boost_typetraits.reference.negation negation]]
 
 [def __type_with_alignment [link boost_typetraits.reference.type_with_alignment type_with_alignment]]
 [def __aligned_storage [link boost_typetraits.reference.aligned_storage aligned_storage]]
@@ -307,6 +310,7 @@ that is the result of the transformation.
 [include aligned_storage.qbk]
 [include alignment_of.qbk]
 [include conditional.qbk]
+[include conjunction.qbk]
 [include common_type.qbk]
 [include copy_cv.qbk]
 [include copy_cv_ref.qbk]
@@ -315,6 +319,7 @@ that is the result of the transformation.
 [include declval.qbk]
 [include detected.qbk]
 [include detected_or.qbk]
+[include disjunction.qbk]
 [include enable_if.qbk]
 [include extent.qbk]
 [include floating_point_promotion.qbk]
@@ -441,6 +446,7 @@ See __has_trivial_constructor.
 [include make_signed.qbk]
 [include make_unsigned.qbk]
 [include make_void.qbk]
+[include negation.qbk]
 [include nonesuch.qbk]
 
 [include promote.qbk]
diff --git a/include/boost/type_traits.hpp b/include/boost/type_traits.hpp
index 8e55bc5..052cf00 100644
--- a/include/boost/type_traits.hpp
+++ b/include/boost/type_traits.hpp
@@ -21,11 +21,13 @@
 #include <boost/type_traits/alignment_of.hpp>
 #include <boost/type_traits/common_type.hpp>
 #include <boost/type_traits/conditional.hpp>
+#include <boost/type_traits/conjunction.hpp>
 #include <boost/type_traits/copy_cv.hpp>
 #include <boost/type_traits/copy_cv_ref.hpp>
 #include <boost/type_traits/copy_reference.hpp>
 #include <boost/type_traits/decay.hpp>
 #include <boost/type_traits/declval.hpp>
+#include <boost/type_traits/disjunction.hpp>
 #include <boost/type_traits/enable_if.hpp>
 #include <boost/type_traits/extent.hpp>
 #include <boost/type_traits/floating_point_promotion.hpp>
@@ -136,6 +138,7 @@
 #include <boost/type_traits/make_signed.hpp>
 #include <boost/type_traits/make_unsigned.hpp>
 #include <boost/type_traits/make_void.hpp>
+#include <boost/type_traits/negation.hpp>
 #include <boost/type_traits/rank.hpp>
 #include <boost/type_traits/remove_all_extents.hpp>
 #include <boost/type_traits/remove_bounds.hpp>
diff --git a/include/boost/type_traits/conjunction.hpp b/include/boost/type_traits/conjunction.hpp
new file mode 100644
index 0000000..aa5440b
--- /dev/null
+++ b/include/boost/type_traits/conjunction.hpp
@@ -0,0 +1,40 @@
+/*
+Copyright 2020 Glen Joseph Fernandes
+(glenjofe@gmail.com)
+
+Distributed under the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt
+or copy at http://www.boost.org/LICENSE_1_0.txt)
+*/
+
+#ifndef BOOST_TT_CONJUNCTION_HPP_INCLUDED
+#define BOOST_TT_CONJUNCTION_HPP_INCLUDED
+
+#include <boost/type_traits/conditional.hpp>
+#if !defined(BOOST_NO_CXX11_VARIADIC_TEMPLATES)
+#include <boost/type_traits/integral_constant.hpp>
+#endif
+
+namespace boost {
+
+#if !defined(BOOST_NO_CXX11_VARIADIC_TEMPLATES)
+template<class...>
+struct conjunction
+    : true_type { };
+
+template<class T>
+struct conjunction<T>
+    : T { };
+
+template<class T, class... U>
+struct conjunction<T, U...>
+    : conditional<bool(T::value), conjunction<U...>, T>::type { };
+#else
+template<class T, class U>
+struct conjunction
+    : conditional<bool(T::value), U, T>::type { };
+#endif
+
+} /* boost */
+
+#endif
diff --git a/include/boost/type_traits/disjunction.hpp b/include/boost/type_traits/disjunction.hpp
new file mode 100644
index 0000000..dd06991
--- /dev/null
+++ b/include/boost/type_traits/disjunction.hpp
@@ -0,0 +1,40 @@
+/*
+Copyright 2020 Glen Joseph Fernandes
+(glenjofe@gmail.com)
+
+Distributed under the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt
+or copy at http://www.boost.org/LICENSE_1_0.txt)
+*/
+
+#ifndef BOOST_TT_DISJUNCTION_HPP_INCLUDED
+#define BOOST_TT_DISJUNCTION_HPP_INCLUDED
+
+#include <boost/type_traits/conditional.hpp>
+#if !defined(BOOST_NO_CXX11_VARIADIC_TEMPLATES)
+#include <boost/type_traits/integral_constant.hpp>
+#endif
+
+namespace boost {
+
+#if !defined(BOOST_NO_CXX11_VARIADIC_TEMPLATES)
+template<class...>
+struct disjunction
+    : false_type { };
+
+template<class T>
+struct disjunction<T>
+    : T { };
+
+template<class T, class... U>
+struct disjunction<T, U...>
+    : conditional<bool(T::value), T, disjunction<U...> >::type { };
+#else
+template<class T, class U>
+struct disjunction
+    : conditional<bool(T::value), T, U>::type { };
+#endif
+
+} /* boost */
+
+#endif
diff --git a/include/boost/type_traits/negation.hpp b/include/boost/type_traits/negation.hpp
new file mode 100644
index 0000000..939e7a7
--- /dev/null
+++ b/include/boost/type_traits/negation.hpp
@@ -0,0 +1,23 @@
+/*
+Copyright 2020 Glen Joseph Fernandes
+(glenjofe@gmail.com)
+
+Distributed under the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt
+or copy at http://www.boost.org/LICENSE_1_0.txt)
+*/
+
+#ifndef BOOST_TT_NEGATION_HPP_INCLUDED
+#define BOOST_TT_NEGATION_HPP_INCLUDED
+
+#include <boost/type_traits/integral_constant.hpp>
+
+namespace boost {
+
+template<class T>
+struct negation
+    : integral_constant<bool, !bool(T::value)> { };
+
+} /* boost */
+
+#endif
diff --git a/test/conjunction_test.cpp b/test/conjunction_test.cpp
new file mode 100644
index 0000000..246f1c6
--- /dev/null
+++ b/test/conjunction_test.cpp
@@ -0,0 +1,35 @@
+/*
+Copyright 2020 Glen Joseph Fernandes
+(glenjofe@gmail.com)
+
+Distributed under the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt
+or copy at http://www.boost.org/LICENSE_1_0.txt)
+*/
+#ifdef TEST_STD
+#include <type_traits>
+#else
+#include <boost/type_traits/conjunction.hpp>
+#endif
+#include "check_integral_constant.hpp"
+
+template<int V>
+struct Int {
+    static const int value = V;
+};
+
+TT_TEST_BEGIN(conjunction)
+
+BOOST_CHECK_INTEGRAL_CONSTANT((::tt::conjunction<Int<2>, Int<4> >::value), 4);
+BOOST_CHECK_INTEGRAL_CONSTANT((::tt::conjunction<Int<0>, Int<4> >::value), 0);
+
+#if !defined(BOOST_NO_CXX11_VARIADIC_TEMPLATES)
+BOOST_CHECK_INTEGRAL_CONSTANT((::tt::conjunction<Int<2>, Int<4>, Int<6>,
+    Int<8>, Int<10> >::value), 10);
+BOOST_CHECK_INTEGRAL_CONSTANT((::tt::conjunction<Int<2>, Int<0>, Int<4>,
+    Int<6>, Int<8> >::value), 0);
+BOOST_CHECK_INTEGRAL_CONSTANT(::tt::conjunction<Int<4> >::value, 4);
+BOOST_CHECK_INTEGRAL_CONSTANT(::tt::conjunction<>::value, true);
+#endif
+
+TT_TEST_END
diff --git a/test/disjunction_test.cpp b/test/disjunction_test.cpp
new file mode 100644
index 0000000..56b3416
--- /dev/null
+++ b/test/disjunction_test.cpp
@@ -0,0 +1,35 @@
+/*
+Copyright 2020 Glen Joseph Fernandes
+(glenjofe@gmail.com)
+
+Distributed under the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt
+or copy at http://www.boost.org/LICENSE_1_0.txt)
+*/
+#ifdef TEST_STD
+#include <type_traits>
+#else
+#include <boost/type_traits/disjunction.hpp>
+#endif
+#include "check_integral_constant.hpp"
+
+template<int V>
+struct Int {
+    static const int value = V;
+};
+
+TT_TEST_BEGIN(disjunction)
+
+BOOST_CHECK_INTEGRAL_CONSTANT((::tt::disjunction<Int<2>, Int<4> >::value), 2);
+BOOST_CHECK_INTEGRAL_CONSTANT((::tt::disjunction<Int<0>, Int<4> >::value), 4);
+
+#if !defined(BOOST_NO_CXX11_VARIADIC_TEMPLATES)
+BOOST_CHECK_INTEGRAL_CONSTANT((::tt::disjunction<Int<2>, Int<4>, Int<6>,
+    Int<8>, Int<10> >::value), 2);
+BOOST_CHECK_INTEGRAL_CONSTANT((::tt::disjunction<Int<0>, Int<0>, Int<6>,
+    Int<0>, Int<0> >::value), 6);
+BOOST_CHECK_INTEGRAL_CONSTANT(::tt::disjunction<Int<4> >::value, 4);
+BOOST_CHECK_INTEGRAL_CONSTANT(::tt::disjunction<>::value, false);
+#endif
+
+TT_TEST_END
diff --git a/test/negation_test.cpp b/test/negation_test.cpp
new file mode 100644
index 0000000..604b7fe
--- /dev/null
+++ b/test/negation_test.cpp
@@ -0,0 +1,26 @@
+/*
+Copyright 2020 Glen Joseph Fernandes
+(glenjofe@gmail.com)
+
+Distributed under the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt
+or copy at http://www.boost.org/LICENSE_1_0.txt)
+*/
+#ifdef TEST_STD
+#include <type_traits>
+#else
+#include <boost/type_traits/negation.hpp>
+#endif
+#include "check_integral_constant.hpp"
+
+template<int V>
+struct Int {
+    static const int value = V;
+};
+
+TT_TEST_BEGIN(negation)
+
+BOOST_CHECK_INTEGRAL_CONSTANT(::tt::negation<Int<5> >::value, false);
+BOOST_CHECK_INTEGRAL_CONSTANT(::tt::negation<Int<0> >::value, true);
+
+TT_TEST_END