This second Volume in the book Series on Nuclear Non-Proliferation in International Law discusses the legal interpretation and implementation of verification and compliance with the Treaty of the Non-Proliferation of Nuclear Weapons, 1968; the Comprehensive Nuclear Test-Ban Treaty, 1996; and the Treaty establishing the European Atomic Energy Community (EURATOM), 1957. It specifically examines the question, contested in recent academic writings, whether the International Atomic Energy Agency (IAEA) is competent to verify not only the correctness, but also the completeness of national declarations. Topical legal issues of verification and its technical and political limits as well as peaceful settlement of disputes and countermeasures are discussed in-depth. The Series on Nuclear Non-Proliferation in International Law provides scholarly research articles with critical commentaries on relevant treaty law, best practice and legal developments, thus offering an academic analysis and information on practical legal and diplomatic developments both globally and regionally. It sets a basis for a further constructive discourse on the topic at both national and international levels. A Third Volume, to be published in Autumn 2016, will focus on legal issues of safety and security of the use of nuclear energy for peaceful purposes. Jonathan L. Black-Branch is Professor of International Law, Royal Holloway University of London; a Member of Wolfson College, Oxford; Chairman of the International Law Association (ILA) Committee on Nuclear Weapons, Non-Proliferation and Contemporary International Law. Dieter Fleck is Former Director International Agreements & Policy, Federal Ministry of Defence, Germany; Member of the Advisory Board of the Amsterdam Center for International Law (ACIL); Honorary President, International Society for Military Law and the Law of War; Rapporteur of the ILA Committee on Nuclear Weapons, Non-Prolife ration and Contemporary International Law.