Difference between revisions of "Nondetermism"

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= Nondeterministic execution in BPJ model checking =
 
In common processing event selection in BP is deterministic.
 
In common processing event selection in BP is deterministic.
However, in some cases it is desired to specify nondetermistic choices - e.g., when simulating environment behavior using b-threads as part of model checking. The BPmc model checker explores all possible execution paths defined by this nondeterminism.
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However, in some cases it is desired to specify nondetermistic choices - e.g., when simulating environment behavior using b-threads as part of model checking. The BPJ model checking capability explores all possible execution paths defined by this nondeterminism.
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In fact, often, the only non-determinism in execution is in b-threads that simulate the environment.
  
Setting up nondeterminism:
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== Specifiying nondeterminism ==
 
* In BP, event selection is deteremined by the unique priority of each b-thread, and by the order of events in the requested event set.
 
* In BP, event selection is deteremined by the unique priority of each b-thread, and by the order of events in the requested event set.
* When the difference in priority of two b-threads is less than a given "epsilon" (a real number provided by the user), the two b-threads  are considered of same priority.  For example, to create 48 bthreads of the same priority, choose epsilon of 1.00 and  create the set of these b-threads so that their priorities have the same whole part and differ only by fractional part.  (e.g. priority values of 7.001 – 7.048). The value of "epsilon" is determined by  
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* When the difference in priority of two b-threads is less than a given "epsilon" (a real number provided by the user), the two b-threads  are considered of same priority.  For example, to create 48 bthreads of the same priority, choose epsilon of 1.00 and  create the set of these b-threads so that their priorities have the same whole part and differ only by fractional part.  (e.g. priority values of 7.001 – 7.048). The value of "epsilon" is determined by the method call setBthreadEpsilon().
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* Additionally, during model checking if an event in a requested event set of any b-thread is selected (requested and not blocked, and non-deterministic execution actually selected it), then if the event was in a nested second-level set, then all other events in the same nested second-level set are considered to be of the same priority. For example, if the requested even set is R={{e1,e2},e3,{e4,e5,e6,e7},e8} - then if e5 was selected (say, all preceding events were blocked), then e6 and e7, and only them are considered of the same priority and will be explored in non-deterministic execution. This priority processing is relevant only to the first event selection in b-thread. Once the selected second-level set is exhausted, (or if the event was a first level in the first place), non-deterministic execution continues with the next b-thread of the "same" priority as the previous b-thread.
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See execution below for more details.
  
. . .
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== Nondeterministic execution ==
  
*
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When executing in model-checking mode, nondeterministic event selection is performed according to the following algorithm :
* In a given requested-events set, events that are in the same second level event set are considered of same priority . E.g. in the requested event set R={a, {b,c,d},{e,f,g}}. b,c,d are considered of the same priority, and e,f,g are considered of the same priority.
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How BPJ determines non-detereministic selection :
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* Scan b-threads in order of priority
Scan b-threads in order of priority
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* Scan the requested event set of each b-thread in event order (the set is enumerable).
Scan the requested event set of each b-thread in event order (the set is enumerable.
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* When the first event that is requested and not blocked is found  it is remembered as one alternative.
When the first event that is requested and not blocked is found  it is one alternative.
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* If the selected event was in a  second level event set (a set within a set),  all its siblings in the same second level set that are not blocked are considered having the same priority, and are added as alternatives.
If it  was in a  second level event set (a set within a set),  all its siblings in the same set are considered having the same priority, and are added as alternatives (if not blocked).   If it is in a first level of the requested event set, this event is the only one from this b-thread.
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* If the event is in a first level of the requested event set, this event is the only one from this b-thread.
When done with the alternatives from one b-thread (first requested and not blocked, and possibly its sibling in the second level set) –go to the next b-thread of “same” priority as defined with epsilon, and repeat the above . At most one second-level set will be selected from the requested events of that b-thread, but not necessarily the first one).
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* After exploring all execution subtrees anchored at the alternatives from one b-thread go to the next b-thread of “same” priority as defined with epsilon, and repeat the above . At most one second-level set will be selected from the requested events of that b-thread, but not necessarily the first one.
Example
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* When all alternatives in a given execution path are explored the execution returns to the next higher level in the nondeterministic execution path to select the next alternative at that level.
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* BPJ model checking uses the Java package javaflow to restore the stack of all b-threads in order to resume execution of another subtree at a previously visited synchronization point.
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== Programming Constraints ==
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* While in regular runs a b-thread can terminate,  in a MC run A b-thread should not terminate, to allow BPJ model checking to backtrack. Precede/replace the return with bSync(none,none,none); In a regular run this will just terminate. In MC run it will allow the b-thread to backtrack from the end.
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== Example ==

Latest revision as of 09:40, 19 March 2014

Nondeterministic execution in BPJ model checking

In common processing event selection in BP is deterministic. However, in some cases it is desired to specify nondetermistic choices - e.g., when simulating environment behavior using b-threads as part of model checking. The BPJ model checking capability explores all possible execution paths defined by this nondeterminism. In fact, often, the only non-determinism in execution is in b-threads that simulate the environment.

Specifiying nondeterminism

  • In BP, event selection is deteremined by the unique priority of each b-thread, and by the order of events in the requested event set.
  • When the difference in priority of two b-threads is less than a given "epsilon" (a real number provided by the user), the two b-threads are considered of same priority. For example, to create 48 bthreads of the same priority, choose epsilon of 1.00 and create the set of these b-threads so that their priorities have the same whole part and differ only by fractional part. (e.g. priority values of 7.001 – 7.048). The value of "epsilon" is determined by the method call setBthreadEpsilon().
  • Additionally, during model checking if an event in a requested event set of any b-thread is selected (requested and not blocked, and non-deterministic execution actually selected it), then if the event was in a nested second-level set, then all other events in the same nested second-level set are considered to be of the same priority. For example, if the requested even set is R={{e1,e2},e3,{e4,e5,e6,e7},e8} - then if e5 was selected (say, all preceding events were blocked), then e6 and e7, and only them are considered of the same priority and will be explored in non-deterministic execution. This priority processing is relevant only to the first event selection in b-thread. Once the selected second-level set is exhausted, (or if the event was a first level in the first place), non-deterministic execution continues with the next b-thread of the "same" priority as the previous b-thread.

See execution below for more details.

Nondeterministic execution

When executing in model-checking mode, nondeterministic event selection is performed according to the following algorithm :

  • Scan b-threads in order of priority
  • Scan the requested event set of each b-thread in event order (the set is enumerable).
  • When the first event that is requested and not blocked is found it is remembered as one alternative.
  • If the selected event was in a second level event set (a set within a set), all its siblings in the same second level set that are not blocked are considered having the same priority, and are added as alternatives.
  • If the event is in a first level of the requested event set, this event is the only one from this b-thread.
  • After exploring all execution subtrees anchored at the alternatives from one b-thread go to the next b-thread of “same” priority as defined with epsilon, and repeat the above . At most one second-level set will be selected from the requested events of that b-thread, but not necessarily the first one.
  • When all alternatives in a given execution path are explored the execution returns to the next higher level in the nondeterministic execution path to select the next alternative at that level.
  • BPJ model checking uses the Java package javaflow to restore the stack of all b-threads in order to resume execution of another subtree at a previously visited synchronization point.

Programming Constraints

  • While in regular runs a b-thread can terminate, in a MC run A b-thread should not terminate, to allow BPJ model checking to backtrack. Precede/replace the return with bSync(none,none,none); In a regular run this will just terminate. In MC run it will allow the b-thread to backtrack from the end.

Example