sentences:  We consider an adapted strong Markov process formula_15 defined on a filtered probability space formula_16 where formula_17 denotes the probability measure where the stochastic process starts at formula_18.Given continuous functions formula_19, and formula_20, the optimal stopping problem is 
  This is sometimes called the MLS (which stand for Mayer, Lagrange, and supremum, respectively) formulation.There are generally two approaches to solving optimal stopping problems.