| aminer68@gmail.com: Jan 30 01:13PM -0800 Hello, Here is how to install Spin Model Checker on windows: I invite you to look at this video to learn how to install Spin model checker and iSpin: https://www.youtube.com/watch?v=MGzmtWi4Oq0 I have installed them and configured them correctly and i am working with them in parallel programming to detect race conditions etc., please read the rest of my thoughts to understand more: Yet more precision about the invariants of a system.. I was just thinking about Petri nets , and i have studied more Petri nets, they are useful for parallel programming, and what i have noticed by studying them, is that there is two methods to prove that there is no deadlock in the system, there is the structural analysis with place invariants that you have to mathematically find, or you can use the reachability tree, but we have to notice that the structural analysis of Petri nets learns you more, because it permits you to prove that there is no deadlock in the system, and the place invariants are mathematically calculated by the following system of the given Petri net: Transpose(vector) * Incidence matrix = 0 So you apply the Gaussian Elimination or the Farkas algorithm to the incidence matrix to find the Place invariants, and as you will notice those place invariants calculations of the Petri nets look like Markov chains in mathematics, with there vector of probabilities and there transition matrix of probabilities, and you can, using Markov chains mathematically calculate where the vector of probabilities will "stabilize", and it gives you a very important information, and you can do it by solving the following mathematical system: Unknown vector1 of probabilities * transition matrix of probabilities = Unknown vector1 of probabilities. Solving this system of equations is very important in economics and other fields, and you can notice that it is like calculating the invariants , because the invariant in the system above is the vector1 of probabilities that is obtained, and this invariant, like in the invariants of the structural analysis of Petri nets, gives you a very important information about the system, like where market shares will stabilize that is calculated this way in economics. About reachability analysis of a Petri net.. As you have noticed in my Petri nets tutorial example (read below), i am analysing the liveness of the Petri net, because there is a rule that says: If a Petri net is live, that means that it is deadlock-free. Because reachability analysis of a Petri net with Tina gives you the necessary information about boundedness and liveness of the Petri net. So if it gives you that the Petri net is "live" , so there is no deadlock in it. Tina and Partial order reduction techniques.. With the advancement of computer technology, highly concurrent systems are being developed. The verification of such systems is a challenging task, as their state space grows exponentially with the number of processes. Partial order reduction is an effective technique to address this problem. It relies on the observation that the effect of executing transitions concurrently is often independent of their ordering. Tina is using "partial-order" reduction techniques aimed at preventing combinatorial explosion, Read more here to notice it: http://projects.laas.fr/tina/papers/qest06.pdf About modelizations and detection of race conditions and deadlocks in parallel programming.. I have just taken further a look at the following project in Delphi called DelphiConcurrent by an engineer called Moualek Adlene from France: https://github.com/moualek-adlene/DelphiConcurrent/blob/master/DelphiConcurrent.pas And i have just taken a look at the following webpage of Dr Dobb's journal: Detecting Deadlocks in C++ Using a Locks Monitor https://www.drdobbs.com/detecting-deadlocks-in-c-using-a-locks-m/184416644 And i think that both of them are using technics that are not as good as analysing deadlocks with Petri Nets in parallel applications , for example the above two methods are only addressing locks or mutexes or reader-writer locks , but they are not addressing semaphores or event objects and such other synchronization objects, so they are not good, this is why i have written a tutorial that shows my methodology of analysing and detecting deadlocks in parallel applications with Petri Nets, my methodology is more sophisticated because it is a generalization and it modelizes with Petri Nets the broader range of synchronization objects, and in my tutorial i will add soon other synchronization objects, you have to look at it, here it is: https://sites.google.com/site/scalable68/how-to-analyse-parallel-applications-with-petri-nets You have to get the powerful Tina software to run my Petri Net examples inside my tutorial, here is the powerful Tina software: http://projects.laas.fr/tina/ Also to detect race conditions in parallel programming you have to take a look at the following new tutorial that uses the powerful Spin tool: https://mirrors.edge.kernel.org/pub/linux/kernel/people/paulmck/perfbook/perfbook.html This is how you will get much more professional at detecting deadlocks and race conditions in parallel programming. Thank you, Amine Moulay Ramdane. |
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