Exact kinetic equations defining the A + B --> B reaction in liquid so
lutions are obtained on the basis of a many-particle approach and the
notion of point-reacting particles with remote reactivity. For any ini
tial correlations in the system of reactants, the calculation of many-
particle kinetics is shown to reduce to the calculation of survival pr
obability of one particle A in the ensemble of particles B. In the con
text of the most general model the exact equations in the thermodynami
c limit are obtained. The equations define the process which develops
from two classes of initial correlations: those of the same type corre
sponding to the reactions in the bulk, and polytypic correlations corr
esponding to the reactions in non-isolated geminate pairs.