Sign-In
Cart
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof
Paperback
Series: Applied Logic, Book 27
ISBN13: 9789048160792
Publisher: Springer Nature
Published: Dec 9 2010
Pages: 390
Weight: 1.27
Height: 0.85 Width: 6.14 Depth: 9.21
Language: English
In case you are considering to adopt this book for courses with over 50 students, please contact ties.nijssen@springer.com for more information.
This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability.
The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory.
Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises.
Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and verification.
1 different editions
Also available
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof
Andrews, Peter B.
Hardcover
Also in
Fiction
100 Years of Legends: The Official Celebration of the Le Mans 24 Hours
Holtz, Julien
Davoine, Basile
Holtz, Gerard
Hardcover
Pardon My Book: Ten Years of the Best (and Worst) in Sports from Pardon My Take
Big Cat
Commenter, Pft
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
Cinderella Man: James J. Braddock, Max Baer, and the Greatest Upset in Boxing History
Schaap, Jeremy
Paperback
Urban Trails: San Francisco: Coastal Bluffs/ The Presidio/ Hilltop Parks & Stairways
Kenin, Alexandra
Paperback
Carlisle vs. Army: Jim Thorpe, Dwight Eisenhower, Pop Warner, and the Forgotten Story of Football'sGreatest Battle
Anderson, Lars
Paperback
The Boys in the Boat: Nine Americans and Their Epic Quest for Gold at the 1936 Berlin Olympics
Brown, Daniel James
Hardcover
Sports Illustrated the Stanley Cup: A History of Hockey's Greatest Prize from the Pages of Sports Illustrated
Sports Illustrated
Hardcover
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
Mastering Logical Fallacies: The Definitive Guide to Flawless Rhetoric and Bulletproof Logic
Withey, Michael
Paperback
The Club: How the English Premier League Became the Wildest, Richest, Most Disruptive Force in Sports
Robinson, Joshua
Clegg, Jonathan
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
Integration at Second Base: Jackie Robinson and the Quest for Black Citizenship
Eisenstadt, Peter
Hardcover
The Horse God Built: The Untold Story of Secretariat, the World's Greatest Racehorse
Scanlan, Lawrence
Paperback
The Secret Game: A Wartime Story of Courage, Change, and Basketball's Lost Triumph
Ellsworth, Scott
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
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
Hail to the Redskins: Gibbs, the Diesel, the Hogs, and the Glory Days of D.C.'s Football Dynasty
Lazarus, Adam
Paperback
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
That First Season: How Vince Lombardi Took the Worst Team in the NFL and Set It on the Path to Glory
Eisenberg, John
Paperback
La Apasionante Historia de Los Mundiales / The Exciting History of the World Cups
Lati, Alberto
Paperback
The Emerald Mile: The Epic Story of the Fastest Ride in History Through the Heart of the Grand Canyon
Fedarko, Kevin
Hardcover
The Three-Year Swim Club: The Untold Story of Maui's Sugar Ditch Kids and Their Quest for Olympic Glory
Checkoway, Julie
Paperback
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
Angels with Dirty Faces: How Argentinian Soccer Defined a Nation and Changed the Game Forever
Wilson, Jonathan
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
Shattering the Glass: The Remarkable History of Women's Basketball
Shackelford, Susan
Grundy, Pamela
Paperback
The Game of Their Lives: The Untold Story of the World Cup's Biggest Upset
Douglas, Geoffrey
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
O'Connell, Vanessa
Albergotti, Reed
Paperback
The Lions Finally Roar: The Detroit Lions and the Road to Redemption in the NFL
Morris, Bill
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
Samurai Sudoku: 500 Medium Sudoku Puzzles Overlapping into 100 Samurai Style
Alzamili, Khalid
Paperback