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Adjoint, Duality, Dump, Presheaf, State and Event

Understand how to use adjoint space and memory dumps alongside software traces for enhanced analysis. Learn the concept of De Broglie trace duality, the use of state dumps for program states, and the trace presheaf pattern for linking memory to logs. Differentiate between states and events in message-driven architectures for effective debugging.

Adjoint space

Sometimes we need memory reference information that is not available in software traces and logs, for example, to see the pointer dereferences, to follow pointers and linked structures. In such cases, memory dumps saved during logging sessions may help. In the case of process memory dumps, we can even have several step dumps. We may force complete or kernel memory dumps after saving a log file. We call such a pattern adjoint space:

We can also analyze logs and memory dumps together, for example, to follow pointer data further in memory space.

There is also a reverse situation in which we use logs to see past data changes before a memory snapshot (paratext memory analysis pattern).

De Broglie trace duality

Recently we found a correlation between software trace with high statement density and current of periodic error with uniform error distribution and process heap memory leak suspected from ...