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author | Linus Torvalds <torvalds@linux-foundation.org> | 2022-08-05 19:41:12 +0300 |
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committer | Linus Torvalds <torvalds@linux-foundation.org> | 2022-08-05 19:41:12 +0300 |
commit | 965a9d75e3d250088a269e0c903e86fe775b48c6 (patch) | |
tree | c274334291740246c3437cf1526d9fc5bfb6d4e8 /Documentation/trace/rv/deterministic_automata.rst | |
parent | 29b1d469f3f6842ee4115f0b21f018fc44176468 (diff) | |
parent | f1a15b977ff864513133ecb611eb28603d32c1b4 (diff) | |
download | linux-965a9d75e3d250088a269e0c903e86fe775b48c6.tar.xz |
Merge tag 'trace-v6.0' of git://git.kernel.org/pub/scm/linux/kernel/git/rostedt/linux-trace
Pull tracing updates from Steven Rostedt:
- Runtime verification infrastructure
This is the biggest change here. It introduces the runtime
verification that is necessary for running Linux on safety critical
systems.
It allows for deterministic automata models to be inserted into the
kernel that will attach to tracepoints, where the information on
these tracepoints will move the model from state to state.
If a state is encountered that does not belong to the model, it will
then activate a given reactor, that could just inform the user or
even panic the kernel (for which safety critical systems will detect
and can recover from).
- Two monitor models are also added: Wakeup In Preemptive (WIP - not to
be confused with "work in progress"), and Wakeup While Not Running
(WWNR).
- Added __vstring() helper to the TRACE_EVENT() macro to replace
several vsnprintf() usages that were all doing it wrong.
- eprobes now can have their event autogenerated when the event name is
left off.
- The rest is various cleanups and fixes.
* tag 'trace-v6.0' of git://git.kernel.org/pub/scm/linux/kernel/git/rostedt/linux-trace: (50 commits)
rv: Unlock on error path in rv_unregister_reactor()
tracing: Use alignof__(struct {type b;}) instead of offsetof()
tracing/eprobe: Show syntax error logs in error_log file
scripts/tracing: Fix typo 'the the' in comment
tracepoints: It is CONFIG_TRACEPOINTS not CONFIG_TRACEPOINT
tracing: Use free_trace_buffer() in allocate_trace_buffers()
tracing: Use a struct alignof to determine trace event field alignment
rv/reactor: Add the panic reactor
rv/reactor: Add the printk reactor
rv/monitor: Add the wwnr monitor
rv/monitor: Add the wip monitor
rv/monitor: Add the wip monitor skeleton created by dot2k
Documentation/rv: Add deterministic automata instrumentation documentation
Documentation/rv: Add deterministic automata monitor synthesis documentation
tools/rv: Add dot2k
Documentation/rv: Add deterministic automaton documentation
tools/rv: Add dot2c
Documentation/rv: Add a basic documentation
rv/include: Add instrumentation helper functions
rv/include: Add deterministic automata monitor definition via C macros
...
Diffstat (limited to 'Documentation/trace/rv/deterministic_automata.rst')
-rw-r--r-- | Documentation/trace/rv/deterministic_automata.rst | 184 |
1 files changed, 184 insertions, 0 deletions
diff --git a/Documentation/trace/rv/deterministic_automata.rst b/Documentation/trace/rv/deterministic_automata.rst new file mode 100644 index 000000000000..d0638f95a455 --- /dev/null +++ b/Documentation/trace/rv/deterministic_automata.rst @@ -0,0 +1,184 @@ +Deterministic Automata +====================== + +Formally, a deterministic automaton, denoted by G, is defined as a quintuple: + + *G* = { *X*, *E*, *f*, x\ :subscript:`0`, X\ :subscript:`m` } + +where: + +- *X* is the set of states; +- *E* is the finite set of events; +- x\ :subscript:`0` is the initial state; +- X\ :subscript:`m` (subset of *X*) is the set of marked (or final) states. +- *f* : *X* x *E* -> *X* $ is the transition function. It defines the state + transition in the occurrence of an event from *E* in the state *X*. In the + special case of deterministic automata, the occurrence of the event in *E* + in a state in *X* has a deterministic next state from *X*. + +For example, a given automaton named 'wip' (wakeup in preemptive) can +be defined as: + +- *X* = { ``preemptive``, ``non_preemptive``} +- *E* = { ``preempt_enable``, ``preempt_disable``, ``sched_waking``} +- x\ :subscript:`0` = ``preemptive`` +- X\ :subscript:`m` = {``preemptive``} +- *f* = + - *f*\ (``preemptive``, ``preempt_disable``) = ``non_preemptive`` + - *f*\ (``non_preemptive``, ``sched_waking``) = ``non_preemptive`` + - *f*\ (``non_preemptive``, ``preempt_enable``) = ``preemptive`` + +One of the benefits of this formal definition is that it can be presented +in multiple formats. For example, using a *graphical representation*, using +vertices (nodes) and edges, which is very intuitive for *operating system* +practitioners, without any loss. + +The previous 'wip' automaton can also be represented as:: + + preempt_enable + +---------------------------------+ + v | + #============# preempt_disable +------------------+ + --> H preemptive H -----------------> | non_preemptive | + #============# +------------------+ + ^ | + | sched_waking | + +--------------+ + +Deterministic Automaton in C +---------------------------- + +In the paper "Efficient formal verification for the Linux kernel", +the authors present a simple way to represent an automaton in C that can +be used as regular code in the Linux kernel. + +For example, the 'wip' automata can be presented as (augmented with comments):: + + /* enum representation of X (set of states) to be used as index */ + enum states { + preemptive = 0, + non_preemptive, + state_max + }; + + #define INVALID_STATE state_max + + /* enum representation of E (set of events) to be used as index */ + enum events { + preempt_disable = 0, + preempt_enable, + sched_waking, + event_max + }; + + struct automaton { + char *state_names[state_max]; // X: the set of states + char *event_names[event_max]; // E: the finite set of events + unsigned char function[state_max][event_max]; // f: transition function + unsigned char initial_state; // x_0: the initial state + bool final_states[state_max]; // X_m: the set of marked states + }; + + struct automaton aut = { + .state_names = { + "preemptive", + "non_preemptive" + }, + .event_names = { + "preempt_disable", + "preempt_enable", + "sched_waking" + }, + .function = { + { non_preemptive, INVALID_STATE, INVALID_STATE }, + { INVALID_STATE, preemptive, non_preemptive }, + }, + .initial_state = preemptive, + .final_states = { 1, 0 }, + }; + +The *transition function* is represented as a matrix of states (lines) and +events (columns), and so the function *f* : *X* x *E* -> *X* can be solved +in O(1). For example:: + + next_state = automaton_wip.function[curr_state][event]; + +Graphviz .dot format +-------------------- + +The Graphviz open-source tool can produce the graphical representation +of an automaton using the (textual) DOT language as the source code. +The DOT format is widely used and can be converted to many other formats. + +For example, this is the 'wip' model in DOT:: + + digraph state_automaton { + {node [shape = circle] "non_preemptive"}; + {node [shape = plaintext, style=invis, label=""] "__init_preemptive"}; + {node [shape = doublecircle] "preemptive"}; + {node [shape = circle] "preemptive"}; + "__init_preemptive" -> "preemptive"; + "non_preemptive" [label = "non_preemptive"]; + "non_preemptive" -> "non_preemptive" [ label = "sched_waking" ]; + "non_preemptive" -> "preemptive" [ label = "preempt_enable" ]; + "preemptive" [label = "preemptive"]; + "preemptive" -> "non_preemptive" [ label = "preempt_disable" ]; + { rank = min ; + "__init_preemptive"; + "preemptive"; + } + } + +This DOT format can be transformed into a bitmap or vectorial image +using the dot utility, or into an ASCII art using graph-easy. For +instance:: + + $ dot -Tsvg -o wip.svg wip.dot + $ graph-easy wip.dot > wip.txt + +dot2c +----- + +dot2c is a utility that can parse a .dot file containing an automaton as +in the example above and automatically convert it to the C representation +presented in [3]. + +For example, having the previous 'wip' model into a file named 'wip.dot', +the following command will transform the .dot file into the C +representation (previously shown) in the 'wip.h' file:: + + $ dot2c wip.dot > wip.h + +The 'wip.h' content is the code sample in section 'Deterministic Automaton +in C'. + +Remarks +------- + +The automata formalism allows modeling discrete event systems (DES) in +multiple formats, suitable for different applications/users. + +For example, the formal description using set theory is better suitable +for automata operations, while the graphical format for human interpretation; +and computer languages for machine execution. + +References +---------- + +Many textbooks cover automata formalism. For a brief introduction see:: + + O'Regan, Gerard. Concise guide to software engineering. Springer, + Cham, 2017. + +For a detailed description, including operations, and application on Discrete +Event Systems (DES), see:: + + Cassandras, Christos G., and Stephane Lafortune, eds. Introduction to discrete + event systems. Boston, MA: Springer US, 2008. + +For the C representation in kernel, see:: + + De Oliveira, Daniel Bristot; Cucinotta, Tommaso; De Oliveira, Romulo + Silva. Efficient formal verification for the Linux kernel. In: + International Conference on Software Engineering and Formal Methods. + Springer, Cham, 2019. p. 315-332. |