Can you clarify what this means? Usually when a puzzle game says "no guessing is required", they mean that a single unique solution can be deduced logically. On the basis of making that assumption I've gotten very stuck around page 4.
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No worries!
It's a common practice in rule discovery puzzlebooks that there is one unique solution to every puzzle. The Domino Lockpicking Company does not have this restriction, and some puzzles have multiple solutions.
However, this does not mean that guessing is required. Guessing is never required to finish the book. Here is an example:
In puzzle 1, you are told to select a number between one and five. This "puzzle" has 5 different solutions, all equally valid. As such it has multiple solutions but does not require guessing.
In puzzle 2, you are told to guess the number I am thinking of between one and five. This puzzle has exactly, one solution, and requires guessing - there is no way to know what number I am thinking of, you have a 1 in 5 chance of getting the puzzle correct.
Aside: if I had to redesign this puzzlebook, I would have ensured every puzzle had exactly one solution.