These are spool valves which change state when pressed (the left valve) or energised pneumatically (the top/right valve.) All are spring return and are initially shown in the unoperated state (spool to the left.)
When the manual valve is operated, its spool moves to the right. In both cases, this causes the pneumatically operated valve spool to move to the right.
When the manual valve is released, the spring returns it to the left, which connects the output to the exhaust, deenergising the pneumatic-operated valve and allowing its spring to return it to the left.
The "memory function" circuit has two spring return manually operated valves and one pneumatically operated valve with no spring - which makes it stable in either state when there is no input.
Operating A pushes C to the right; operating B pushes C to the left. Simultaneous operation of both A and B is forbidden or gives indeterminate results.
When both A and B are released, both control ports of C are connected to exhaust and C remains in its last state indefinitely.
Your last diagrams are a bit more complex and I'm not sure I understand their notation for the operation of the activation of the roller switches. If you want, I'll look again and work through the possible sequences to see which is the likely interpretation. Maybe you can do this yourself now? If you search for pneumatic spool valves, you should find some similar diagrams with explanations.