διαδῐκ-ᾰσία · diadik-asia — LSJ
suit to decide between claimants, judicial inquiries
suit to decide between claimants, e.g. to an estate, δ. κλήρου D. 44.7; to a wardship, δ. ἐπιτροπῆς Arist. Ath. 56.6; to exemption from a λειτουργία, D. 28.17, cf. Lys. 17.1, D. 24.13, etc.; τὴν δ. ποιεῖσθαι IG 12(5).722.48 (Andros); esp. of judicial inquiries relating to naval matters, D. 47.26, Arist. Ath. 61.1.
2 judicial decision, settlement
judicial decision or settlement, X. Cyr. 8.1.18, OGI 437.78.
3 dispute, the competition for
metaph., δ. τῷ βήματι πρὸς τὸ στρατήγιον dispute between the orators and the board of generals, Aeschin. 3.146: generally, τὴν τῶν ἀριστείων δ. the competition for public honours, Pl. Lg. 952d, cf. Polem. Call. 53.
4 the question
διαδικασίαν προθεῖναι ταῖς γνώμαις put the question to the vote, D.H. 11.21.