  A model for a flat isotropic universe with a negative cosmological constant
$\Lambda$ and a massless scalar field as sole matter content is studied within
the framework of Loop Quantum Cosmology. By application of the methods
introduced for the model with $\Lambda=0$, the physical Hilbert space and the
set of Dirac observables are constructed. As in that case, the scalar field
plays here the role of an emergent time. The properties of the system are found
to be similar to those of the $k=1$ FRW model: for small energy densities, the
quantum dynamics reproduces the classical one, whereas, due to modifications at
near-Planckian densities, the big bang and big crunch singularities are
replaced by a quantum bounce connecting deterministically the large
semiclassical epochs. Thus in Loop Quantum Cosmology the evolution is
qualitatively cyclic.
