This is what I understood of logical addresses :
Logical addresses are used so that data on the physical memory do not get corrupted. By the use of logical addresses, the processes wont be able to access the physical memory directly, thereby ensuring that it cannot store data on already accessed physical memory locations and hence protecting data integrity. I have a doubt whether it was really necessary to use logical addresses. The integrity of the data on the physical memory could have been preserved by using an algorithm or such which do not allow processes to access or modify memory locations which were already accessed by other processes.
"The integrity of the data on the physical memory could have been preserved by using an algorithm or such which do not allow processes to access or modify memory locations which were already accessed by other processes."
Short Answer: It is impossible to devise an efficient algorithm as proposed to match the same level of performance with logical address.
The issue with this algorithm is that how are you going to intercept each processes' memory access? Without intercepting memory access, it is impossible to check if a process has privileges to access certain memory region. If we are really going to implement this algorithms, there are ways to intercept memory access without using the logical address provided by MMU (Memory management unit) on modern cpus (Assume you have a cpu without MMU). However, those methods will not be as efficient as using MMU. If your cpu does have a MMU, although logical address translation will be unavoidable, you could setup a one-to-one to the physical memory.
One way to intercept memory access without MMU is to insert kernel trap instruction before each memory access instruction in a program. Since we cannot trust user level program, such job cannot be delegated to a compiler. Thus, you can write an OS which will do this job before it loads a program into memory. This OS will scan through the binary of your program and insert kernel trap instruction before each memory access. By doing so, kernel can inspect if a memory access should be granted. However, this approach downgrades your system's performance a lot as each memory access, legal or not, will trap into the kernel. And trapping into kernel involves context switching which takes a lot of cpu cycles.
Can we do better? What about do a static analysis of memory access of our programs before we load it into memory so we only insert trap before illegal memory access? However, processes has no predefined execution order. Let's say you have programs A and B. They both try to access the same memory region. Then who should get it with our static analysis? We could randomly assign to one of them. Let's say we assign to B. Then how do we know when will B be done with this memory so we can give to A so it can proceed? Let's say B use this region to hold a global variable, which accessed multiple times throughout its life cycle. Do we wait till the completion of B to give this region to A? What if B never ends?
Furthermore, a static analysis of memory access would be impossible with the present of dynamic memory allocation. If either program A or B tries to allocate a memory region which size depends on user input, then OS or our static analysis tool cannot know ahead of time of where or how big the region is. And thus would not be able to do analysis at all.
Thus, we have to fall back to trap on every memory access and determine if access is legal on runtime. Sounds familiar? This is the function of MMU or logical address. However, with logical address, a trap is incurred if and only if a illegal access has happened instead of every memory access.