Extended causal loop diagrams #664
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@jrb137 I think that |
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broken test Ustr/Uuid -> Id removed TO-DOs usize -> bool
this test checks both the heights of the derivative towers, and that each morphism has been lifted to the correct height.
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Morphism generator types changes from "deg" to "Degree", etc.
Previously all derivatives were named the same thing, resulting in an error.
merge main
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Sep 21, 2025
| \taxon{doctrine} | ||
| \import{macros} | ||
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| \p{Degree-delay signed categories are categories graded in the monoid #{\mathbb{N} \times \mathbb{N} \times \mathbb{Z}_2}. The two copies of #{\mathbb{N}} label edges by the \em{differential degree} and \em{order of delay}. The order of the differential degree is meant to indicate which derivative of the target is affected (linearly) by the source. For example, an edge #{A \to B} with degree 2 indicates a contribution of the form #{\ddot{B} \mathrel{+}= kA} for some #{k \in \mathbb{R}}. The \em{order of delay} only has meaning with the assumption that the delays are modelled stochastically by Erlang distributions with the same time-scale parameter (see, for example, [here](https://en.wikipedia.org/wiki/Erlang_distribution)). The labelling in #{\mathbb{Z}_2} indicates the "sign" of the influence, as described in \ref{dct-0002}.} |
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Perhaps worth explaining that the reason you're talking about the Erlang distribution is that it's a sum of i.i.d. Gammas, where the number of summands is the "order of delay" in the ECLD.
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| //! Utilities for analyses of ECLDs | |||
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Are you planning to add more submodules here? If not, I'd suggest removing the extra directory level and having just stdlib/analyses/ecld.rs.
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Implements a new logic of extended causal loop diagrams: causal loop diagrams labelled with differential degree and order of delay (both natural numbers).
This PR also adds a pre-processing function (
catlog/src/stdlib/analyses/ecld/atomisations.rs) for future analyses, which is currently unused but included simply because it's already written (along with a simple test). If preferred, this could be moved to a separate PR :-)To-do:
/math-docsdocumentation (@jrb137)/helpdocumentation (@tim-at-topos)