Surely they put on a guise of "This is for your own protection," right? If so, what were their official terms?
Sources in German are okay by me.
Officially, the GDR referred to it as the "Anti-Fascist Protection Wall (or rampart)", Antifaschistischer Schutzwall.
The 1962 pamphlet "What You Should Know About The Wall" was distributed by the GDR to Berlin residents as a way of explaining the wall's construction. It was published in English for foreign distribution.
The key point in the pamphlet is its "Second consideration: Did the wall fall out of the sky?":
No. It was the result of developments of many years standing in West Germany and West Berlin. Let us recall preceding events: In 1948 a separate currency reform was introduced in West Germany and West Berlin - the West German reactionaries thereby split Germany and even west Berlin in to two currency areas.
The West German separatist state was founded in 1949 - Bonn thereby turned the zonal border into a state frontier.
In 1954 West Germany was included in NATO - Bonn thereby converted the state frontier into the front-line between two pact systems.
The decision on the atomic armament of the West German Bundeswehr was made in 1958 - thus, Bonn continues to aggravate the situation in Germany and Berlin. Repeatedly the annexation of the GDR is proclaimed as the official aim of Bonn policy, most recently in a statement of the Adenauer Christian Democratic Union (CDU), on 11 July 1961.
Thus did the anti-national, aggressive NATO policy create the wall which today separates the two German states and also goes through the middle of Berlin. The Bonn government and the West Berlin Senate have systematically converted West Berlin into a centre of provocation from where 90 espionage organizations, the RIAS American broadcasting station in West Berlin (Radio in American Sector) and revanchist associations organize acts of sabotage against the GDR and the other socialist countries. Through our protective measures of 13 August 1961 we have only safeguarded and strengthened that frontier which was already drawn years ago and made into a dangerous front-line by the people in Bonn and West Berlin. How high and how strongly fortified a frontier must be, depends, as is common knowledge, on the kind of relations existing between the states of each side of the frontier.