addressing the rendering versus verifiability challenge
Published 2016-05-26T02:54:00Z by Physics Derivation Graph
For the Physics Derivation Graph, the primary output is visual. Thus rendering expressions should be beautiful. Latex is a natural choice and the entry is intuitive and straightforward.
In addition to rendering, the other task is to verify that the content is correct. This means using a computer algebra system (ie Mathematica, Octave). Latex is not amenable to CAS input because Latex can be mathematically ambiguous -- resolution depends on context.
One way to resolve this would be to stick with Latex, then convert to a CAS format for verifying correctness.
As an example, suppose I want to check that the expression "multbothsidesby" was correctly entered for input T/f=1, output T=f, with feed f. The Sage syntax looks like
T,f=var('T,f') input_expr = T/f==1 expected_output_expr= T==f expected_output_expr == input_expr*f The above Sage returns true, building confidence that the step is valid. More simply, T,f=var('T,f') (T==f) == ((T/f==1)*f) If Latex is to be used as the input, then we need to convert it to Sage syntax.
declare each variable in Sage
replace "=" in Latex with "=="
convert the inference rule to something that can be checked