abhidhīyate 'nena iti abhidhā
abhidhīyate yā sā abhidhā
The first interpretation is to be found in Mādhava's Sarvadarśanasaṅgraha:
abhidhābhāvanā ity atra abhidhāśabdena “abhidhīyate anena” iti vyutpattyā śabda ucyate.
Many other Mīmāṃsakas are mentioned (Pārthasārathi Miśra, Someśvara Bhaṭṭa, Umeśa Miśra, Āpadeva). I hope I will find someone who translates for me the exact references, so that I can discuss them.