@article{blass1985a, author = {Blass, Andreas and Gurevich, Yuri and Kozen, D.}, title = {A Zero-one Law for Logic with a Fixed-point Operator}, year = {1985}, month = {April}, abstract = {The zero-one law, known to hold for first-order logic but not for monadic or even existential monadic second-order logic, is generalized to the extension of first-order logic by the least (or iterative) fixed-point operator. We also show that the problem of deciding, for any pi, whether it is almost sure is complete for exponential time, if we consider only pi's with a fixed finite vocabulary (or vocabularies of bounded arity) and complete for double-exponential time if pi is unrestricted.}, url = {http://approjects.co.za/?big=en-us/research/publication/zero-one-law-logic-fixed-point-operator/}, pages = {70-90}, journal = {Information and Control}, volume = {67}, }