TY - BOOK AU - Negri,Sara AU - Von Plato,Jan TI - Structural proof theory SN - 9780511527340 (ebook) AV - QA9.54 .N44 2001 U1 - 511.3 21 PY - 2001/// CY - Cambridge PB - Cambridge University Press KW - Proof theory N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 1; From natural deduction to sequent calculus --; 2; Sequent calculus for intuitionistic logic --; 3; Sequent calculus for classical logic --; 4; The quantifiers --; 5; Variants of sequent calculi --; 6; Structural proof analysis of axiomatic theories --; 7; Intermediate logical systems --; 8; Back to natural deduction --; Conclusion: Diversity and unity in structural proof theory --; App. A; Simple type theory and categorical grammar --; App. B; Proof theory and constructive type theory --; App. C; PESCA -- A proof editor for sequent calculus; Aarne Ranta N2 - Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists. The book is designed to be used by students of philosophy, mathematics and computer science. The book contains a wealth of results on proof-theoretical systems, including extensions of such systems from logic to mathematics, and on the connection between the two main forms of structural proof theory - natural deduction and sequent calculus. The authors emphasize the computational content of logical results. A special feature of the volume is a computerized system for developing proofs interactively, downloadable from the web and regularly updated UR - https://doi.org/10.1017/CBO9780511527340 ER -