EDIT: I found https://scribe.rip/1b92451d4764 which purports to be an "introduction followed by a tour", which links to “Security Applications of Formal Language Theory” and “The Seven Turrets of Babel: A Taxonomy of LangSec Errors and How to Expunge Them”. The second seems not very practical/applied or hands-on, and the first is quite long and academic (I haven't read it yet). It might be useful as reference material, but I'd be interested to see examples of designing/refactoring systems to be more secure based on langsec.
Based on reading the two sentence synopsis in Google results it’s largely indistinguishable from the more familiar “formal methods” or “formal verification”.
Formal methods is a huge area though, but in essence it's about establishing proofs of correctness.
The worst part of shotgun parsing and loosely defined input structure is the difficulty of remediation. I constantly receive pushback from dev teams when I ask them to use regex-based validation per field. What sounds like a simple task actually becomes extremely difficult because lots of apps populate datasets via convoluted monolithic endpoints. Dev teams would have to change the way in which shared services structure and output information. Those shared services are frequently maintained by other teams and any other application which consume the same data would also need to be modified.
In the end, it becomes a compromise where the ad-hoc parsing is tightened/modified to be "good enough". This bubblegum/duct-tape fix only further cements the ad-hoc parsing throughout the org.