Are the logical expressions returned by Reduce always satisfiable ?
If there's no solution, Reduce will return False.
In[6]:= eqs = {2 x + 3 y <= 5, x - 2 y >= 1, 1 <= x <= 10, 1 <= y <= 10}; In[7]:= res = Reduce[eqs, {x, y}] Out[7]= False
My wonder is when Reduce returns an answer different from True or False. For example, when Reduce returns something like this :
Can such expressions returned by Reduce be unsatisfiable ? Or are they always satisfiable ?
If I understand your question correctly, the results are always satisfiable. If the input to Reduce is inconsistent, it returns False.
Thank you
