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For your first question, try  reading this Wikipedia article on constraint programming:

https://en.wikipedia.org/wiki/Constraint_programming

 

The solver is the part of a SystemVerilog simulator that solves the constraints (produces a set of values for random variables that satisfy the constraints).

 

For your second question, the SystemVerilog standard states "If a solution exists, the constraint solver shall find it. The solver can fail only when the problem is
over-constrained and there is no combination of random values that satisfy the constraints." Which you could argue means the constraint solver is "powerful".

 

regards

Alan

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