An introduction to mathematical logic and type theory: to truth through proof
An introduction to mathematical logic and type theory: to truth through proof
The psychology of proof: deductive reasoning in human thinking
The psychology of proof: deductive reasoning in human thinking
A Machine-Oriented Logic Based on the Resolution Principle
Journal of the ACM (JACM)
Solution of the Robbins Problem
Journal of Automated Reasoning
Proof, message and certificate
CICM'12 Proceedings of the 11th international conference on Intelligent Computer Mathematics
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In logic there is a clear concept of what constitutes a proof and what not. A proof is essentially defined as a finite sequence of formulae which are either axioms or derived by proof rules from formulae earlier in the sequence. Sociologically, however, it is more difficult to say what should constitute a proof and what not. In this paper we will look at different forms of proofs and try to clarify the concept of proof in the wider meaning of the term. This has implications on how proofs should be represented formally.