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mathematical logic > proof theory

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proof theory  

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  • Proof theory is a major branch of mathematical logic and theoretical computer science within which proofs are treated as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively-defined data structures such as lists, boxed lists, or trees, which are constructed according to the axioms and rules of inference of a given logical system. Consequently, proof theory is syntactic in nature, in contrast to model theory, which is semantic in nature.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Proof_theory)

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http://data.loterre.fr/ark:/67375/PSR-F8V1QJJ3-3

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