Finite state machines and deadlocks - finite-automata

This is my problem
I know traces of two state machines that are deadlock free.
I want to know with the traces (I dont know estructure) , if the composition is deadlock free.
Any theorem to know is this is possible to know?

If you are indeed dealing with composition (run machine A with initial parameters, then machine B using final parameters of A as initial parameters), then a deadlock in the composition would necessarily happen either in A or in B.
It cannot happen in A (because then, it would also happen if B was not present), and it cannot happen in B (because then, it would also happen if A was not present and you used those same initial parameters for B). Therefore, based on the initial assumptions that A and B are deadlock-free, so is their composition.

Related

Process Synchronization using a flag

I am learning operating systems through an online course and I came across some software solutions for Process Synchronization. The teacher is explaining all software solutions starting from using a single turn variable upto Peterson's solution.
I have a doubt in the most basic approach. Please refer to the attached screenshot from the course video for clarity. The approach is to use a single turn variable in case of two processes and store 1 or 2 in turn depending on which process wants to access the critical section. This approach guarantees mutual exclusion but does not satisfy the progress requirement because if turn is 1 initially and P2 wants to enter the critical section first then it will be simply blocked waiting in the while loop even though P1 is not in the critical section. My idea is to initiate turn as -1 and now proceed. No process will be blocked depending on other then.
I have checked multiple online courses but no one is discussing this simple change and rather moving on to advanced solutions like Petersons algorithm or semaphores. Am I thinking right? Is my approach correct?
What you're describing here is called "strict alternation". Your proposal to modify the algorithm so that turn is initially -1 won't work. In your example, if turn is not equal to 2, then process 1 will not block. If turn is not equal to 1, then process 2 will not block. Initially, if turn is -1, then neither process 1 nor process 2 will block. As a result, both can execute their critical sections at the same time. You no longer have the mutual exclusion property.

Should the rule "one transaction per aggregate" be taken into consideration when modeling the domain?

Taking into consideration the domain events pattern and this post , why do people recomend keeping one aggregate per transaction model ? There are good cases when one aggregate could change the state of another one . Even by removing an aggregate (or altering it's identity) will lead to altering the state of other aggregates that reference it. Some people say that keeping one transaction per aggregates help scalability (keeping one aggregate per server) . But doesn't this type of thinking break the fundamental characteristic about DDD : technology agnostic ?
So based on the statements above and on your experience, is it bad to design aggregates, domain events, that lead to changes in other aggregates and this will lead to having 2 or more aggregates per transaction (ex. : when a new order is placed with 100 items change the customer's state from normal to V.I.P. )?
There are several things at play here and even more trade-offs to be made.
First and foremost, you are right, you should think about the model first. Afterall, the interplay of language, model and domain is what we're doing this all for: coming up with carefully designed abstractions as a solution to a problem.
The tactical patterns - from the DDD book - are a means to an end. In that respect we shouldn't overemphasize them, eventhough they have served us well (and caused major headaches for others). They help us find "units of consistency" in the model, things that change together, a transactional boundary. And therein lies the problem, I'm afraid. When something happens and when the side effects of it happening should be visible are two different things. Yet all too often they are treated as one, and thus cause this uncomfortable feeling, to which we respond by trying to squeeze everything within the boundary, without questioning. Still, we're left with that uncomfortable feeling. There are a lot of things that logically can be treated as a "whole change", whereas physically there are multiple small changes. It takes skill and experience, or even blunt trying to know when that is the case. Not everything can be solved this way mind you.
To scale or not to scale, that is often the question. If you don't need to scale, keep things on one box, be content with a certain backup/restore strategy, you can bend the rules and affect multiple aggregates in one go. But you have to be aware you're doing just that and not take it as a given, because inevitably change is going to come and it might mess with this particular way of handling things. So, fair warning. More subtle is the question as to why you're changing multiple aggregates in one go. People often respond to that with the "your aggregate boundaries are wrong" answer. In reality it means you have more domain and model exploration to do, to uncover the true motivation for those synchronous, multi-aggregate changes. Often a UI or service is the one that has this "unreasonable" expectation. But there might be other reasons and all it might take is a different set of abstractions to solve the same problem. This is a pretty essential aspect of DDD.
The example you gave seems like something I could handle as two separate transactions: an order was placed, and as a reaction to that, because the order was placed with a 100 items, the customer was made a VIP. As MikeSW hinted at in his answer (I started writing mine after he posted his), the question is when, who, how, and why should this customer status change be observed. Basically it's the "next" behavior that dictates the consistency requirements of the previous behavior(s).
An aggregate groups related business objects while an aggregate root (AR) is the 'representative' of that aggregate. Th AR itself is an entity modeling a (bigger, more complex) domain concept. In DDD a model is always relative to a context (the bounded context - BC) i.e that model is valid only in that BC.
This allows you to define a model representative of the specific business context and you don't need to shove everything in one model only. An Order is an AR in one context, while in another is just an id.
Since an AR pretty much encapsulates all the lower concepts and business rules, it acts as a whole i.e as a transaction/unit of work. A repository always works with AR because 1) a repo always deals with business objects and 2) the AR represents the business object for a given context.
When you have a use case involving 2 or more AR the business workflow and the correct modelling of that use case is paramount. In a lot of cases those AR can be modified independently (one doesn't care about other) or an AR changes as a result of other AR behaviour.
In your example, it's pretty trivial: when the customer places an order for 100 items, a domain event is generated and published. Then you have a handler which will check if the order complies with the customer promotions rules and if it does, a command is issued which will have the result of changing the client state to VIP.
Domain events are very powerful and allows you to implement transactions but in an eventual consistent environment. The old db transaction is an implementation detail and it's usually used when persisting one AR (remember AR are treated as a logical unit but persisting one may involve multiple tables hence db transaction).
Eventual consistency is a 'feature' of domain events which fits naturally a rich domain (and the real world actually). For some cases you might need instant consistency however those are particular cases and they are related to UI rather than how Domain works. Of course, it really depends from one domain to another. In your example, the customer won't mind it became a VIP 2 seconds or 2 minutes after the order was placed instead of the same milisecond.

Distributed postgresql ID collision handling

Let's imagine we have a distributed table with an ID, CONTENT and TIMESTAMP. The ID is hash(CONTENT) and the CONTENT is deterministic enough to be entered in multiple places in the system, shortly after each other.
Let's say a certain real life event happened. Like someone won the Olympics. Then that goes into this database in a record that always looks the same, except for the timestamp. As each machine observes the event at slightly different delays.
So. As the machines sync this distributed table they will wonder "We have this exact ID already! It's also not an identical row! What should we do!?". I want to give them the answer in the form of:bool compare(row a, row b) or, preferably, row merge(row a, row b).
Does anyone know how to do this? I can only find 'merge' things related to merging two different tables while in fact this is the same table, only distributed.
For me this is pretty essential for making my system 'eventually consistent'. I want to leverage postgresql's distributed database mechanics because they are so reliable, I wouldn't want to rewrite them.
PostgreSQL has no "distributed database" features. You can't rewrite them or avoid rewriting them because they don't exist, and I'm quite curious about where you got your reliability information from.
The closest tihng I can think of is a 3rd party addon called Bucardo, which does multi-master replication with conflict resolution.
It's also possible you were thinking of Postgres-XC, but that project is intended to produce a synchronous, consistent, transparent multi-master cluster, so there'd be no conflict resolution in the first place.
There's also Rubyrep; I don't know enough about it to know if it'd fit your needs.
In the future PostgreSQL will support something akin to what you are describing, with logical replication / bi-directional replication, but it's pre-alpha quality for now, and is likely to land in PostgreSQL 9.5 at the soonest.

Erlang ETS tables versus message passing: Optimization concerns?

I'm coming into an existing (game) project whose server component is written entirely in erlang. At times, it can be excruciating to get a piece of data from this system (I'm interested in how many widgets player 56 has) from the process that owns it. Assuming I can find the process that owns the data, I can pass a message to that process and wait for it to pass a message back, but this does not scale well to multiple machines and it kills response time.
I have been considering replacing many of the tasks that exist in this game with a system where information that is frequently accessed by multiple processes would be stored in a protected ets table. The table's owner would do nothing but receive update messages (the player has just spent five widgets) and update the table accordingly. It would catch all exceptions and simply go on to the next update message. Any process that wanted to know if the player had sufficient widgets to buy a fooble would need only to peek at the table. (Yes, I understand that a message might be in the buffer that reduces the number of widgets, but I have that issue under control.)
I'm afraid that my question is less of a question and more of a request for comments. I'll upvote anything that is both helpful and sufficiently explained or referenced.
What are the likely drawbacks of such an implementation? I'm interested in the details of lock contention that I am likely to see in having one-writer-multiple-readers, what sort of problems I'll have distributing this across multiple machines, and especially: input from people who've done this before.
first of all, default ETS behaviour is consistent, as you can see by documentation: Erlang ETS.
It provides atomicity and isolation, also multiple updates/reads if done in the same function (remember that in Erlang a function call is roughly equivalent to a reduction, the unit of measure Erlang scheduler uses to share time between processes, so a multiple function ETS operation could possibly be split in more parts creating a possible race condition).
If you are interested in multiple nodes ETS architecture, maybe you should take a look to mnesia if you want an OOTB multiple nodes concurrency with ETS: Mnesia.
(hint: I'm talking specifically of ram_copies tables, add_table_copy and change_config methods).
That being said, I don't understand the problem with a process (possibly backed up by a not named ets table).
I explain better: the main problem with your project is the first, basic assumption.
It's simple: you don't have a single writing process!
Every time a player takes an object, hits a player and so on, it calls a non side effect free function updating game state, so even if you have a single process managing game state, he must also tells other player clients 'hey, you remember that object there? Just forget it!'; this is why the main problem with many multiplayer games is lag: lag, when networking is not a main issue, is many times due to blocking send/receive routines.
From this point of view, using directly an ETS table, using a persistent table, a process dictionary (BAD!!!) and so on is the same thing, because you have to consider synchronization issues, like in objects oriented programming languages using shared memory (Java, everyone?).
In the end, you should consider just ONE main concern developing your application: consistency.
After a consistent application has been developed, only then you should concern yourself with performance tuning.
Hope it helps!
Note: I've talked about something like a MMORPG server because I thought you were talking about something similar.
An ETS table would not solve your problems in that regard. Your code (that wants to get or set the player widget count) will always run in a process and the data must be copied there.
Whether that is from a process heap or an ETS table makes little difference (that said, reading from ETS is often faster because it's well optimized and doesn't perform any other work than getting and setting data). Especially when getting the data from a remote node. For multple readers ETS is most likely faster since a process would handle the requests sequentially.
What would make a difference however, is if the data is cached on the local node or not. That's where self replicating database systems, such as Mnesia, Riak or CouchDB, comes in. Mnesia is in fact implemented using ETS tables.
As for locking, the latest version of Erlang comes with enhancements to ETS which enable multiple readers to simultaneously read from a table plus one writer that writes. The only locked element is the row being written to (thus better concurrent performance than a normal process, if you expect many simultaneous reads for one data point).
Note however, that all interaction with ETS tables is non-transactional! That means that you cannot rely on writing a value based on a previous read because the value might have changed in the meantime. Mnesia handles that using transactions. You can still use the dirty_* functions in Mneisa to squeeze out near-ETS performance out of most operations, if you know what you're doing.
It sounds like you have a bunch of things that can happen at any time, and you need to aggregate the data in a safe, uniform way. Take a look at the Generic Event behavior. I'd recommend using this to create an event server, and have all these processes share this information via events to your server, at that point you can choose to log it or store it somewhere (like an ETS table). As an aside, ETS tables are not good for peristent data like how many "widgets" a player has - consider Mnesia, or an excellent crash only db like CouchDB. Both of these replicate very well across machines.
You bring up lock contention - you shouldn't have any locks. Messages are processed in a synchronous order as they are received by each process. In fact, the entire point of the message passing semantics built into the language is to avoid shared-state concurrency.
To summarize, normally you communicate with messages, from process to process. This is hairy for you, because you need information from processes scattered all over the place, so my recommendation for you is based of the idea of concentrating all information that is "interesting" outside of the originating processes into a single, real-time source.

Restarting agent program after it crashes

Consider a distributed bank application, wherein distributed agent machines modify the value of a global variable : say "balance"
So, the agent's requests are queued. A request is of the form wherein value is added to the global variable on behalf of the particular agent. So,the code for the agent is of the form :
agent
{
look_queue(); // take a look at the leftmost request on queue without dequeuing
lock_global_variable(balance,agent_machine_id);
///////////////////// **POINT A**
modify(balance,value);
unlock_global_variable(balance,agent_machine_id);
/////////////////// **POINT B**
dequeue(); // once transaction is complete, request can be dequeued
}
Now, if an agent's code crashes at POINT B, then obviously the request should not be processed again, otherwise the variable will be modified twice for the same request. To avoid this, we can make the code atomic, thus :
agent
{
look_queue(); // take a look at the leftmost request on queue without dequeuing
*atomic*
{
lock_global_variable(balance,agent_machine_id);
modify(balance,value);
unlock_global_variable(balance,agent_machine_id);
dequeue(); // once transaction is complete, request can be dequeued
}
}
I am looking for answers to these questions :
How to identify points in code which need to be executed atomically 'automatically' ?
IF the code crashes during executing, how much will "logging the transaction and variable values" help ? Are there other approaches for solving the problem of crashed agents ?
Again,logging is not scalable to big applications with large number of variables. What can we in those case - instead of restarting execution from scratch ?
In general,how can identify such atomic blocks in case of agents that work together. If one agent fails, others have to wait for it to restart ? How can software testing help us in identifying potential cases, wherein if an agent crashes, an inconsistent program state is observed.
How to make the atomic blocks more fine-grained, to reduce performance bottlenecks ?
Q> How to identify points in code which need to be executed atomically 'automatically' ?
A> Any time, when there's anything stateful shared across different contexts (not necessarily all parties need to be mutators, enough to have at least one). In your case, there's balance that is shared between different agents.
Q> IF the code crashes during executing, how much will "logging the transaction and variable values" help ? Are there other approaches for solving the problem of crashed agents ?
A> It can help, but it has high costs attached. You need to rollback X entries, replay the scenario, etc. Better approach is to either make it all-transactional or have effective automatic rollback scenario.
Q> Again, logging is not scalable to big applications with large number of variables. What can we in those case - instead of restarting execution from scratch ?
A> In some cases you can relax consistency. For example, CopyOnWriteArrayList does a concurrent write-behind and switches data on for new readers after when it becomes available. If write fails, it can safely discard that data. There's also compare and swap. Also see the link for the previous question.
Q> In general,how can identify such atomic blocks in case of agents that work together.
A> See your first question.
Q> If one agent fails, others have to wait for it to restart ?
A> Most of the policies/APIs define maximum timeouts for critical section execution, otherwise risking the system to end up in a perpetual deadlock.
Q> How can software testing help us in identifying potential cases, wherein if an agent crashes, an inconsistent program state is observed.
A> It can to a fair degree. However testing concurrent code requires as much skills as to write the code itself, if not more.
Q> How to make the atomic blocks more fine-grained, to reduce performance bottlenecks?
A> You have answered the question yourself :) If one atomic operation needs to modify 10 different shared state variables, there's nothing much you can do apart from trying to push the external contract down so it needs to modify more. This is pretty much the reason why databases are not as scalable as NoSQL stores - they might need to modify depending foreign keys, execute triggers, etc. Or try to promote immutability.
If you were Java programmer, I would definitely recommend reading this book. I'm sure there are good counterparts for other languages, too.