  We present SySCoRe, a MATLAB toolbox that synthesizes controllers for
stochastic continuous-state systems to satisfy temporal logic specifications.
Starting from a system description and a co-safe temporal logic specification,
SySCoRe provides all necessary functions for synthesizing a robust controller
and quantifying the associated formal robustness guarantees. It distinguishes
itself from other available tools by supporting nonlinear dynamics, complex
co-safe temporal logic specifications over infinite horizons and model-order
reduction. To achieve this, SySCoRe generates a finite-state abstraction of the
provided model and performs probabilistic model checking. Then, it establishes
a probabilistic coupling to the original stochastic system encoded in an
approximate simulation relation, based on which a lower bound on the
satisfaction probability is computed. SySCoRe provides non-trivial lower bounds
for infinite-horizon properties and unbounded disturbances since its computed
error does not grow linearly in the horizon of the specification. It exploits a
tensor representation to facilitate the efficient computation of transition
probabilities. We showcase these features on several benchmarks and compare the
performance of the tool with existing tools.
