AlgebraicJulia / AlgebraicJulia/DiagrammaticEquations.jl
DerivOp special case in infer_terminals
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Description
Currently something is a terminal variable if and only if it is not the source of any other operation. However, something is a source variable if it is not the result of any operation or if it is the source of a Partial T operation. So in the case of ```∂ₜ(u) == u```, `u` would be a source variable but not a terminal variable.
For reference, the output decapode looks like this:
```julia
SummationDecapode{Any, Any, Symbol} {Var:1, TVar:1, Op1:1, Op2:0, Σ:0, Summand:0, Type:0, Operator:0, Name:0}
┌─────┬───────┬──────┐
│ Var │ type │ name │
├─────┼───────┼──────┤
│ 1 │ infer │ u │
└─────┴───────┴──────┘
┌──────┬──────┐
│ TVar │ incl │
├──────┼──────┤
│ 1 │ 1 │
└──────┴──────┘
┌─────┬─────┬─────┬─────┐
│ Op1 │ src │ tgt │ op1 │
├─────┼─────┼─────┼─────┤
│ 1 │ 1 │ 1 │ ∂ₜ │
└─────┴─────┴─────┴─────┘
```
In order to balance out this behavior, we should add an case to the terminals that if it is the result of a Partial T operation then it is automatically a terminal.
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