Viva's major work is Trutina theologica damnatarum thesium (1708), a theological treatise in four parts and two volumes.
The second volume is devoted to the study and refutation of the 101 propositions of Quesnel, condemned by the Bull Unigenitus of Clement XI in 1713.
Some editions included commentary by Antonio Zaccharia, librarian of the House of Este.
Zaccharia cites pontifical documents and argues in Viva's defense against Daniel Concina, Giovanni Vincenzo Patuzzi, and others.
The third edition (Benevento, 1717) contains a treatise in which appeal to a future council is declared illegal when the pope has spoken and the Church, spread over the entire world, has accepted his judgment; the testimony of the oecumenical councils and the assemblies of the French clergy are offered as evidence.