Abstract
Metamathematics is a source of many interesting theorems and difficult proofs. This paper reports the results of an experiment to use the Boyer-Moore theorem prover to proof-check theorems in metamathematics. We describe a First Order Logic due to Shoenfield and outline some of the theorems that the prover was able to prove about this logic. These include the tautology theorem which states that every tautology has a proof. Such proofs can be used to add new proof procedures to a proof-checking program in a sound and efficient manner.
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Shankar, N. Towards mechanical metamathematics. J Autom Reasoning 1, 407–434 (1985). https://doi.org/10.1007/BF00244278
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DOI: https://doi.org/10.1007/BF00244278