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Sequent Calculus

Sequent Calculus


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In proof theory and mathematical logic, sequent calculus is a family of formal systems sharing a certain style of inference and certain formal properties. The first sequent calculi, systems LK and LJ, were introduced by Gerhard Gentzen in 1934 as a tool for studying natural deduction in first-order logic (in classical and intuitionistic versions, respectively). Gentzen's so-called "Main Theorem" (Hauptsatz) about LK and LJ was the cut-elimination theorem, a result with far-reaching meta-theoretic consequences, including consistency. Gentzen further demonstrated the power and flexibility of this technique a few years later, applying a cut-elimination argument to give a (transfinite) proof of the consistency of Peano arithmetic, in surprising response to G del's incompleteness theorems. Since this early work, sequent calculi (also called Gentzen systems) and the general concepts relating to them have been widely applied in the fields of proof theory, mathematical logic, and automated deduction.


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Product Details
  • ISBN-13: 9786139119554
  • Publisher: Onym Press
  • Publisher Imprint: Onym Press
  • Height: 229 mm
  • Weight: 213 gr
  • ISBN-10: 6139119553
  • Publisher Date: 08 Jan 2012
  • Binding: Paperback
  • Spine Width: 8 mm
  • Width: 152 mm


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