I must have a mental block today. I get from your writeup that the Operator shifts the Manually Operated Air Valve to make the Air Motor Rotate and Drive the Trolley Forward. When the Trolley reaches the end of its Forward travel the Operator Reverses the Manually Operated Air Valve to Return the Trolley to its Home Position.
To my way of thinking that is a complete operation and the Limit Switches serve no purpose except the one at Home Position could assure rhe Cutting Head is not in the way of the next part of the machines operation.
"The valve controlling the cutting head will be on unless one of the end switches is made."
Your writeup indicates Valve Controlling the Cutting Head is Maually Operated and does not need any electrics.
As you have probably guessed by now I'm totally confused and have no idea how your circuit functions/opearates and how it might be controlled.
This circuit sounds like one from a teacher in a Pneumatics class who wants you to ask questions like you will be required to do when dealing with most of the people you will be working with/for after you complete your Pneumatics course.
A Pneumatic Logic Circut would have no Limit Switches since they would be repalced by Limit Valves that would give Pilot Pressure to Air Pilot Operated Valves to shift them to do the function called out.
You can see some Air Logic circuits and Air Logic components in a training book I wrote here:
Look in the Basic Book at Chapter 19 to see Air Logic Control components and some circuit examples of them. Also the Circuits book as several Air Logic Circuits in the "Air Logic" section.
Bud Trinkel, Fluid Power Consultant
HYDRA-PNEU CONSULTING