prover
Noun
Meaning
One who, or that which, proves.
Source: Webster's dictionarySynonyms
Examples
Whatever the Thinker thinks, the Prover will prove.
Depending on the degree of automation, the prover can essentially be reduced to a proof checker, with the user providing the proof in a formal way, or significant proof tasks can be performed automatically.
Computer verifications In 2005, Avigad et al. employed the Isabelle theorem prover to devise a computer-verified variant of the Erdős–Selberg proof of the PNT. citation This was the first machine-verified proof of the PNT.
James Margetson (2004) developed a computerized formal proof using the Isabelle theorem prover.
Hayes (1973) developed an equational language, Golux, in which different procedures could be obtained by altering the behavior of the theorem prover.
It follows that an automated theorem prover will fail to terminate while searching for a proof precisely when the statement being investigated is undecidable in the theory being used, even if it is true in the model of interest.