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Born in Odessa, Russian Empire (currently Ukraine), he emigrated to France. In 1925, he shared 1st with Abraham Baratz in the 1st Paris City Chess Championship, tied for 5-6th in the 2nd Paris-ch 1926 (Leon Schwartzmann won), tied for 5-6th at Hyères 1926 (Baratz won), shared 1st with Peter Potemkine at Paris 1926, tied for 5-7th in the 3rd Paris-ch 1927 (Baratz won), tied for 10-11th in the 4th Paris-ch 1928 (Baratz won), tied for 1st-3rd with Marcel Duchamp and J.J. O'Hanlon at Hyères 1928, took 8th in the 6th Paris-ch 1930 (Josef Cukierman won), took 6th in the 7th Paris-ch 1931 (Eugene Znosko-Borovsky won), took 3rd in the 8th Paris-ch 1932 (Oscar Blum won), and took 9th at Paris 1938 (L'Echiquier, Baldur Hoenlinger won).
In 1932, he published with Marcel Duchamp "L'Opposition et les cases conjugées sont réconciliées", a chess manual dedicated to several special end-game problems, for which Duchamp designed the layout and cover. Halberstadt is also an author of "Curiosités tactiques des finales" (1954).