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Implementation Notes

This document gives some additional information regarding how the matcher is implemented, and some usage caveats. The emphasis in this implementation is on simplicity, clarity, and correctness, in order to help people understand the STIX pattern language. It is not designed for "real" high-intensity usage.

Background

Matching a pattern is equivalent to finding a set of bindings. A binding is a mapping from observation expressions in the pattern to observations. The matcher does its job in a single traversal of the pattern parse tree. It maintains a list of candidate bindings and other state, pruning away those which don't work as it goes. At the end, the result is a list of many bindings, not just the first one found.

Caveats

  • The number of bindings found can be large. If each observation expression matches a lot of observations, the number of bindings can grow exponentially. In the worst case, if N observations match N observation expressions (i.e. every observation expression matches every observation), and only the AND observation operator is used, that's N! different possible bindings altogether.

  • High repeat counts can result in a lot of bindings. This is related to the previous item, but is perhaps less obvious, since the growth can occur with even a short pattern. It is less severe with repeat counts, since the matcher is smart enough to collect only the distinct order-independent combinations, rather than every permutation, as would happen if the observation expressions had been written out without the qualifier. Nevertheless, it can result in a lot of bindings. As above, the thing to watch out for is when the qualified observation expression matches a lot of observations.

  • Temporal qualifiers are less effective at reducing the number of bindings. For example, using REPEATS 5 TIMES might result in a lot of possible bindings, whereas REPEATS 5 TIMES WITHIN 300 SECONDS could allow additional temporal filtering, reducing the number of bindings. However, the matcher works in a very simple way, applying each qualifier in turn. The repetition is computed first, then temporal filtering occurs second. They don't occur at the same time. So you could still get large growth in the number of bindings in the first step. A more clever implementation could do both at the same time.

  • "Creative" use of references can cause large memory usage. This is a corner case and unlikely to occur in a real pattern, but it's interesting. It's especially easy to demonstrate with circular references. Consider the pattern: [foo:some_refs[*].some_refs[*].some_refs[*].some_refs[*].size > 100] and the observation data:

    {
        "0": {
            "type": "foo",
            "some_refs": ["0", "1"],
            "size": 10
        },
        "1": {
            "type": "foo",
            "some_refs": ["0", "1"],
            "size": 1000
        }
    }

    The matcher handles references by substituting the referenced object for the reference. So each list ["0", "1"] is replaced with a list of the referenced objects. Which themselves have two references apiece, which get replaced with the same objects, which have two references apiece, etc. Also, because of the [*] index steps, nothing gets pruned away; all paths must be considered. This is exponential growth.