  In recent years, theories in which the Einstien-Hilbert lagrangian is
replaced by a function f(R) of the Ricci Scalar have been extensively studied
in four-dimensional spacetime. In this work we carry out an analysis of such
theories in two-dimensional spacetime with focus on cosmological implications.
Solutions to the cosmological field equations are obtained and their properties
are analysed. Inflationary solutions are also obtained and discussed.
Quantization is then carried out, the Wheeler-DeWitt equation is set up and its
exact solutions obtained.
