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Re: [tlaplus] Canonical TLA+ ... how to avoid "imperative brainwash" on KV store



Why don't you just write a loop of the form

while (TRUE) {
  with k \in HashKey, v \in HashValue, op \in ClientOps {
    call PerformOp(k,v,op)
  }
}

TLC will explore all possible sequences of operation calls, for all possible combinations of arguments. Whenever it runs into a state that it has seen before (because the store has the same value for every key), it will stop exploring that branch. The power of model checking is that it lets you explore even infinite executions over finite state spaces. There's no need to materialize the search that TLC will perform in the data structures of your specification.

Regards,
Stephan

On 23 Nov 2020, at 18:31, recepient recepient <netsmaza@xxxxxxxxx> wrote:

Hi -

I'm working on a distributed KV store in Pluscal. Using TLA+ our desire is to ``SQLtise" our Pluscal code everywhere possible: describe what is to be done & checked without proscribing the steps ala imperative code to TLA+. Granted, we can fly closer to that mentality by avoiding Pluscal altogether ... but that's out of scope for the moment.

I am stuck on one basic aspect of this work which seems to exist right at the boundary between allowing TLA+ to explore reachable states, and me telling it what I think reachable states are... 

Assume:
key \in {0,1}, value \in {100,101},   {OP_GET, OP_PUT, OP_DELETE}  for  {0,1} \X {100,101} \X {OP_GET_PUT,OP_DELETE} or 12 unique possible client requests. (Note: get/delete operations never use the value part).

Goal
:
Have TLA+ check correctness properties (not shown) by exploring all possible ways a client can send KV requests. Imperatively all possible ways are given by:

For each subset s in  {0,1} \X {100,101} \X {OP_GET_PUT,OP_DELETE}:
    For each permutation p in s:
         (re)initialize model
         model check operations in p by running p[i] where i \in 1..Len(p) 

Candidate Process 1 (elided): BAD: Doesn't do all permutations or subsets
    with v \in HashKey, v \in HashValue, op \in ClientOps  
    do
       call PerformOp(k,v.op);
    end with;
Enabling DOT visualization & writing some python to print all paths from initial to final states using the DOT data, we can show that TLA+ tries the first rpc tuple, then tries rpc tuples 1 and 2, then 1 and 2 and 3 ... and on up to 1..12. But that's it!

Candidate Process 2 (elided): BAD: Doesn't do permutations or subsets:
    
\* Alternative formulation of process 1. Choose approach much the same ...
    with i \in HashKey \X HashValue \X ClientOps
    do
       call PerformOp(i[1],i[2],i[3]);
    end with;

At this point TLA+ can't read our minds: it needs to be told to try all permutations of all subsets. But if one writes writes something like the following, JAVA runs out of stack:

Candidate Process 3 (elided): BAD: Won't work; runs out of stack
    variables rpcs=Permutations(SUBSET(HashKey, v \in HashValue, op \in ClientOps))
    with i \in rpcs
    do
       // now try to dig out individual RPCs and run them...
       call PerformOp(....);
    end with;

Moreover, even if this compiled and ran it's not clear if this achieves the goal. Did it check all permutations on subsets of size 5 starting from the initial state or did it run that on top of permutations on subsets size 4?   

What does one do here?


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