Table Design for Operating Permit

I have a project where I need to maintain an operating permit for a
client. The permit has the following format:

Process 1 - Engines

System 1 - Emergency Power

Device D1
Conditions 1-1, 2-1

Device D2
Conditions 1-1

System 2 - Cogeneration

Device D3
Conditions 3-1, 3-2, 3-3

Device D4
Conditions 3-1, 3-2

The process and system numbers are unique. The device numbers are
also unique - i.e. there can only be one device D1.

The conditions are also unique. There can only be one condition with
the ID 3-1.

As you can see, however, a device can have multiple conditions. A
condition can also be used for multiple devices.

Unfortunately, the agency that oversees these operating permits does
not have a way to issue the permits in pieces. If I want to see all
equipment in system 2, or if I want to see all equipment that is
subject to condition 3-2, there's no easy way to view it.

The fields are all pretty much text based.

I'm looking for some input in the table design.

It seems to me that I could have the following tables and fields:

1. Process (ProcessID, ProcessDescription)

2. System (SystemID, SystemDescription)

3. Device (DeviceID, DeviceDescription)

4. Conditions (ConditionID, ConditionDescription)

All the ID fields would be the primary keys. The Description fields
would be text.

I would need a fifth table and that's the table whose design I'm
asking for help on. Would I simply create some sort of composite
table in the following format:

5. Composite (CompositeID, ProcessID, SystemID, DeviceID,
ConditionID)

The composite ID would be the primary key and all the other fields
would be foreign keys. It seems to me that I could then create
reports and queries to display the permit in the various formats as
needed.

Thanks in advance for you help.