Sign-In
Cart
Methods of Cut-Elimination
Paperback
Series: Trends in Logic, Book 34
FictionGeneral ComputersProgramming
ISBN13: 9789400734975
Publisher: Springer
Published: Feb 25 2013
Pages: 290
Weight: 0.92
Height: 0.62 Width: 6.14 Depth: 9.21
Language: English
This is the first book on cut-elimination in first-order predicate logic from an algorithmic point of view. Instead of just proving the existence of cut-free proofs, it focuses on the algorithmic methods transforming proofs with arbitrary cuts to proofs with only atomic cuts (atomic cut normal forms, so-called ACNFs). The first part investigates traditional reductive methods from the point of view of proof rewriting. Within this general framework, generalizations of Gentzen's and Sch\utte-Tait's cut-elimination methods are defined and shown terminating with ACNFs of the original proof. Moreover, a complexity theoretic comparison of Gentzen's and Tait's methods is given.
The core of the book centers around the cut-elimination method CERES (cut elimination by resolution) developed by the authors. CERES is based on the resolution calculus and radically differs from the reductive cut-elimination methods. The book shows that CERES asymptotically outperforms all reductive methods based on Gentzen's cut-reduction rules. It obtains this result by heavy use of subsumption theorems in clause logic. Moreover, several applications of CERES are given (to interpolation, complexity analysis of cut-elimination, generalization of proofs, and to the analysis of real mathematical proofs). Lastly, the book demonstrates that CERES can be extended to nonclassical logics, in particular to finitely-valued logics and to G\odel logic.
1 different editions
Also available
Also from
Baaz, Matthias
Also in
Fiction
100 Years of Legends: The Official Celebration of the Le Mans 24 Hours
Davoine, Basile
Holtz, Gerard
Holtz, Julien
Hardcover
Pardon My Book: Ten Years of the Best (and Worst) in Sports from Pardon My Take
Commenter, Pft
Big Cat
Hardcover
The W: A History of the WNBA: How the WNBA Survived, Evolved, and Changed Professional Sports
Spruill, Tamryn
Hardcover
The Boys in the Boat: Nine Americans and Their Epic Quest for Gold at the 1936 Berlin Olympics
Brown, Daniel James
Paperback
Soccernomics (2026 World Cup Edition): Why European Men and American Women Usually Win--And American Men Don't (Yet)
Kuper, Simon
Szymanski, Stefan
Paperback
The Emerald Mile: The Epic Story of the Fastest Ride in History Through the Heart of the Grand Canyon
Fedarko, Kevin
Paperback
The Bosses of the Bronx: The Endless Drama of the Yankees Under the House of Steinbrenner
Vaccaro, Mike
Hardcover
The Shortest History of Soccer: From Ancient Kicking Games to the World's Most Popular Sport
Bunk, Brian D.
Paperback
The Girls Who Beat the Odds: Stories of Women Who Changed the Course of Sports History
Eder, Mari K.
Hardcover
Harvey Penick's Little Red Book: Lessons and Teachings from a Lifetime in Golf
Penick, Harvey
Hardcover
Making Camp: A Visual History of Camping's Most Essential Items and Activities
Hogue, Martin
Hardcover
The World Cup: A History of the Planet's Biggest Sporting Event, 2026 Edition
Lisi, Clemente A.
Paperback
A Beginner's Guide to the Roots of Yoga: How to Create a More Authentic Practice
Desai, Nikita
Paperback
Urban Trails: San Francisco: Coastal Bluffs/ The Presidio/ Hilltop Parks & Stairways
Kenin, Alexandra
Paperback
Cinderella Man: James J. Braddock, Max Baer, and the Greatest Upset in Boxing History
Schaap, Jeremy
Paperback
The Boys in the Boat: Nine Americans and Their Epic Quest for Gold at the 1936 Berlin Olympics
Brown, Daniel James
Hardcover
Carlisle vs. Army: Jim Thorpe, Dwight Eisenhower, Pop Warner, and the Forgotten Story of Football'sGreatest Battle
Anderson, Lars
Paperback
Lambeau Ladies: The Boundary-Breaking Women Behind Lombardi's Packers
Kostelnik Biskupic, Laura
Biskupic, Katherine
Paperback
When the Garden Was Eden: Clyde, the Captain, Dollar Bill, and the Glory Days of the New York Knicks
Araton, Harvey
Paperback
La Historia del Fã°tbol En 500 Partidos / The History of Soccer in 500 Matches
Wernicke, Luciano
Paperback
Da Bears!: How the 1985 Monsters of the Midway Became the Greatest Team in NFL History
Delsohn, Steve
Paperback
The Boys in the Boat: Nine Americans and Their Epic Quest for Gold at the 1936 Berlin Olympics (Large Print Edition)
Brown, Daniel James
Paperback
A People's History of Sports in the United States: 250 Years of Politics, Protest, People, and Play
Zirin, Dave
Paperback
The Horse God Built: The Untold Story of Secretariat, the World's Greatest Racehorse
Scanlan, Lawrence
Paperback
Sports Illustrated the Stanley Cup: A History of Hockey's Greatest Prize from the Pages of Sports Illustrated
Sports Illustrated
Hardcover
The Club: How the English Premier League Became the Wildest, Richest, Most Disruptive Force in Sports
Robinson, Joshua
Clegg, Jonathan
Paperback
Integration at Second Base: Jackie Robinson and the Quest for Black Citizenship
Eisenstadt, Peter
Hardcover
Mastering Logical Fallacies: The Definitive Guide to Flawless Rhetoric and Bulletproof Logic
Withey, Michael
Paperback
American Soccer Nation: The Remarkable 150-Year History of Yanks on a Roll, from Mob Football to the Modern Game
Franek, Mark C.
Paperback
The Long Red Line: Cornell Lacrosse and the Forty-Eight-Year Quest for Glory
Swezey, Christian
Hardcover
Ignorance: What We Do Not Know, Cannot Know, Must Not Know, and Refuse to Know
Szpiro, George G.
Hardcover
The Secret Game: A Wartime Story of Courage, Change, and Basketball's Lost Triumph
Ellsworth, Scott
Paperback
Hail to the Redskins: Gibbs, the Diesel, the Hogs, and the Glory Days of D.C.'s Football Dynasty
Lazarus, Adam
Paperback
Norwegian Method: The Culture, Science, and Humans Behind the Groundbreaking Approach to Elite Endurance Performance
Culp, Brad
Paperback
Fifty Places to Play Golf Before You Die: Golf Experts Share the World's Greatest Destinations
Santella, Chris
Hardcover
Notre Dame Fighting Irish Football Firsts: The Players, Moments, and Records That Were First in Team History
Heisler, John
Bourret, Timothy
Paperback
A Big Mess in Texas: The Miraculous, Disastrous 1952 Dallas Texans and the Craziest Untold Story in NFL History
Fleming, David
Hardcover
No Advantage Given: The Incomplete History of U.S. Women's Rugby, 1972-2026
United States Women's Rugby Foundation
Paperback
La Apasionante Historia de Los Mundiales / The Exciting History of the World Cups
Lati, Alberto
Paperback
That First Season: How Vince Lombardi Took the Worst Team in the NFL and Set It on the Path to Glory
Eisenberg, John
Paperback
The Three-Year Swim Club: The Untold Story of Maui's Sugar Ditch Kids and Their Quest for Olympic Glory
Checkoway, Julie
Paperback
The Emerald Mile: The Epic Story of the Fastest Ride in History Through the Heart of the Grand Canyon
Fedarko, Kevin
Hardcover
1000 Football Shirts Revised and Updated: From Vintage Classics to the Latest Releases
Lions, Bernard
Paperback
A Home on the Field: How One Championship Team Inspires Hope for the Revival of Small Town America
Cuadros, Paul
Paperback
Shattering the Glass: The Remarkable History of Women's Basketball
Shackelford, Susan
Grundy, Pamela
Paperback
The Game That Saved the NHL: The Broad Street Bullies, the Soviet Red Machine, and Super Series '76
Gruver, Ed
Hardcover
The Glory of Their Times: The Story of the Early Days of Baseball Told by the Men Who Played It
Ritter, Lawrence S.
Paperback
The Game of Their Lives: The Untold Story of the World Cup's Biggest Upset
Douglas, Geoffrey
Paperback
Angels with Dirty Faces: How Argentinian Soccer Defined a Nation and Changed the Game Forever
Wilson, Jonathan
Paperback
The Lions Finally Roar: The Detroit Lions and the Road to Redemption in the NFL
Morris, Bill
Paperback
To Mock a Mockingbird: And Other Logic Puzzles Including an Amazing Adventure in Combinatory Logic
Smullyan, Raymond M.
Paperback
Wheelmen: Lance Armstrong, the Tour de France, and the Greatest Sports Conspiracy Ever
Albergotti, Reed
O'Connell, Vanessa
Paperback
Ironmania: The 1984 Hawaii Ironman Triathlon World Championship and the making of an Iconic Event
Evans, David
Paperback
Battles at Annapolis: Two Remarkable Football Games in the Army-Navy Rivalry
Gendell, David
Paperback
If These Walls Could Talk: Pittsburgh Steelers: Stories from the Sideline, Locker Room, and Press Box
Wexell, Jim
Wolfley, Craig
Paperback
The Official History of the Tour de France: Revised and Updated
Edwardes-Evans, Luke
Laget, Serge
McGrath, Andy
Hardcover
Three-Ring Circus: Kobe, Shaq, Phil, and the Crazy Years of the Lakers Dynasty
Pearlman, Jeff
Paperback
The Perfect Mile: Three Athletes, One Goal, and Less Than Four Minutes to Achieve It
Bascomb, Neal
Paperback
So Many Ways to Lose: The Amazin' True Story of the New York Mets--The Best Worst Team in Sports
Gordon, Devin
Hardcover