Proof theory is a major branch of mathematical logic that represents proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively-defined data structures such as plain lists, boxed lists, or trees, which are constructed according to the axioms and rules of inference of the logical system. Consequently, proof theory is syntactic in nature, in contrast to model theory, which is semantic in nature.
Some of the major areas of proof theory include structural proof theory, ordinal analysis, provability logic, reverse mathematics, proof mining, automated theorem proving, and proof complexity. Much research also focuses on applications in computer science, linguistics, and philosophy.

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  1. Nowhereman

    This is how we make precision barrels. Prescott AZ. Single point cut rifling. 4140CM.

    Thought I might take a minute to share my process of making precision rifle barrels here in Prescott AZ. We use single point cut method. Enjoy. Feel free to ask questions. 1. Cut 4140CM blank to length plus 1". 2. drill the solid blank with gundrill that feeds cutting oil down the quill of the...
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