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Structural proof theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Structural proof theory // Sara Negri, Jan von Plato ; with an appendix by Aarne Ranta.
作者:	Negri, Sara,
其他作者:	Von Plato, Jan,
面頁冊數:	1 online resource (xvii, 257 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Proof theory. -
電子資源:	https://doi.org/10.1017/CBO9780511527340
ISBN:	9780511527340 (ebook)

Structural proof theory /
Negri, Sara,1967-

Structural proof theory /Sara Negri, Jan von Plato ; with an appendix by Aarne Ranta. - 1 online resource (xvii, 257 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

From natural deduction to sequent calculus --Aarne Ranta.1.

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.

ISBN: 9780511527340 (ebook)Subjects--Topical Terms:

579943
Proof theory.

LC Class. No.: QA9.54 / .N44 2001

Dewey Class. No.: 511.3

Structural proof theory /
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245 1 0 $a Structural proof theory / $c Sara Negri, Jan von Plato ; with an appendix by Aarne Ranta.
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505 0 0 $g 1. $t From natural deduction to sequent calculus -- $g 2. $t Sequent calculus for intuitionistic logic -- $g 3. $t Sequent calculus for classical logic -- $g 4. $t The quantifiers -- $g 5. $t Variants of sequent calculi -- $g 6. $t Structural proof analysis of axiomatic theories -- $g 7. $t Intermediate logical systems -- $g 8. $t Back to natural deduction -- $t Conclusion: Diversity and unity in structural proof theory -- $g App. A. $t Simple type theory and categorical grammar -- $g App. B. $t Proof theory and constructive type theory -- $g App. C. $t PESCA -- A proof editor for sequent calculus / $r Aarne Ranta.
520 $a 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.
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