A Modern Perspective on Type Theory: From Its Origins Until Today

Name: A Modern Perspective on Type Theory: From Its Origins Until Today
Brand: Springer
SKU: 9789048166398
Price: 9447.0 INR
Availability: InStock

by F. D. Kamareddine

Save 35%

₹9,447.00

₹14,533.00

(-35%)

₹9,447.00

Imported Edition - Ships in 18-21 Days

Free Shipping in India on orders above Rs. 500

Request Bulk Quantity Quote

Name

Quantity

+91

Company Name

Message

Quantity

More Information

ISBN13: 9789048166398
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: October 22, 2010
Pages: 360
Original Price: EUR 129.99
Language: English
Edition: N/A
Item Weight: 567 grams
BISAC Subject(s): Logic, Logic, and Computer Science

About The Book

Towards the end of the nineteenth century, Frege gave us the abstraction principles and the general notion of functions. Self-application of functions was at the heart of Russell's paradox. This led Russell to introduce type theory in order to avoid the paradox. Since, the twentieth century has seen an amazing number of theories concerned with types and functions and many applications. Progress in computer science also meant more and more emphasis on the use of logic, types and functions to study the syntax, semantics, design and implementation of programming languages and theorem provers, and the correctness of proofs and programs. The authors of this book have themselves been leading the way by providing various extensions of type theory which have been shown to bring many advantages. This book gathers much of their influential work and is highly recommended for anyone interested in type theory. The main emphasis is on:

- Types: from Russell to Ramsey, to Church, to the modern Pure Type Systems and some of their extensions.

- Functions: from Frege, to Russell to Church, to Automath and the use of functions in mathematics, programming languages and theorem provers.

- The role of types in logic: Kripke's notion of truth, the evolution and role of the propositions as types concept and its use in logical frameworks.

- The role of types in computation: extensions of type theories which can better model proof checkers and programming languages are given.

The first part of the book is historical, yet at the same time, places historical systems (like Russell's RTT) in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms), but at the same time, places another historical system (the proof checker Automath) in the modern setting. The third part uses this bridging in the first two parts between historical and modern systems to propose new systems that bring more advantages together. This book has much to offer to mathematicians, logicians and to computer scientists in general. It will have considerable influence for many years to come.' - Henk Barendregt

Trusted for over 49 years

Family Owned Company

Secure Payment

All Major Credit Cards/Debit Cards/UPI & More Accepted

New & Authentic Products

India's Largest Distributor

Need Support?

Whatsapp Us

Related Category

mathematics > logic

philosophy > logic

computers > computer science

Bestselling

View All

Atomic Habits (Lead Title)

Clear, James

₹650

₹999

(-35%)

₹650

• Author(s): Clear | James • Publisher: Penguin • Publisher Imprint: Penguin Random House • Subject: General Books

Ikigai

Hector Garcia

₹390

₹599

(-35%)

₹390

• Author(s): Hector Garcia • Publisher: Penguin • Publisher Imprint: Penguin Random House • Subject: General Books

The Courage To Be Disliked How To Free Yourself Change Your Life And Achieve Real Happiness Courage To Series

Ichiro Kishimi

₹390

₹599

(-35%)

₹390

• Author(s): Ichiro Kishimi • Publisher: GROVE ATLANTIC • Publisher Imprint: Allen & Unwin • BISAC: Personal Growth - SuccessIchiro Kishimi lives in Kyoto. He writes, lectures and teaches in psychiatric clinics as a certified counsellor and c...

View full details

12 Years: My Messed-up Love Story

Chetan Bhagat

₹260

₹399

(-35%)

₹260

• Author(s): Chetan Bhagat • Publisher: HarperCollins Publishers India • Publisher Imprint: HarperCollins Publishers India • BISAC: GeneralFrom India's top-selling writer Chetan Bhagat comes a powerful new love story that will make you laugh, cry...

View full details

The Mountain Is You: Transforming Self-Sabotage Into Self-Mastery

Brianna Wiest

₹260

₹399

(-35%)

₹260

• Author(s): Brianna Wiest • Publisher: Manjul Publishing • Publisher Imprint: Amaryllis • BISAC: Body Mind And SpiritThis is a book about self-sabotage. Why we do it, when we do it, and how to stop doing it—for good. Coexisting but conflicting n...

View full details

The Art of Spending Money: Simple Choices for a Richer Life

Morgan Housel

₹290

₹499

(-42%)

₹290

• Author(s): Morgan Housel • Publisher: Pan Macmillan • Publisher Imprint: Pan Macmillan • BISAC: Finance - Wealth ManagementA third book from the International bestselling author of The Psychology of Money and Same as Ever, lessons on harnessing...

View full details

Mother Mary Comes To Me

Arundhati Roy

₹585

₹899

(-35%)

₹585

• Author(s): Arundhati Roy• Publisher: PRH INDIA LOCAL PRINT• Publisher Imprint: Penguin Hamish Hamilton• BISAC: Literary FiguresArundhati Roy’s first work of memoir, this is a soaring account, both intimate and inspiring, of how the author became...

View full details

Truth without Apology: A Guide for Those Who Can Stand It

Acharya Prashant

₹260

₹399

(-35%)

₹260

• Author(s): Acharya Prashant • Publisher: HarperCollins Publishers India • Publisher Imprint: HarperCollins Publishers India • BISAC: GeneralIn a world where vagueness is mistaken for depth and obscurity passes for wisdom, Truth without Apology ...

View full details

Grandma's Bag of Stories

Sudha Murthy

₹179

₹275

(-35%)

₹179

• Author(s): Sudha Murthy • Publisher: India Puffin • Publisher Imprint: India Puffin • BISAC: Short StoriesWho can resist a good story, especially when it's being told by Grandma? From her bag emerges tales of kings and cheats, monkeys and mic...

View full details

Days at the Morisaki Bookshop

Satoshi Yagisawa

₹260

₹399

(-35%)

₹260

• Author(s): Satoshi Yagisawa • Publisher: Bonnier Books Ltd • Publisher Imprint: Bonnier Books Ltd

Deep Work: Rules For Focused Success In A Distracted World

Newport, Cal

₹260

₹399

(-35%)

₹260

• Author(s): Newport, Cal • Publisher: Little, Brown Book Group • Publisher Imprint: Piatkus

Can We Be Strangers Again?: A National Bestseller

Shrijeet Shandilya

₹195

₹299

(-35%)

₹195

• Author(s): Shrijeet Shandilya • Publisher: Ebury Press • Publisher Imprint: Ebury Press • BISAC: Romance - GeneralIn the electric haze of college life, three friends are bound by laughter, late-night talks and unspoken promises. But when two of...

View full details

The Secret of Secrets: (Robert Langdon Book 6)

Dan Brown

₹975

₹1,499

(-35%)

₹975

• Author(s): Dan Brown • Publisher: Transworld Publishers Ltd • Publisher Imprint: Transworld Publishers Ltd • BISAC: Thrillers - EspionageDan Brown is the bestselling author of Digital Fortress, Deception Point, Angels and Demons, The Da Vinci C...

View full details

Magic of the Lost Temple

Sudha Murty

₹179

₹275

(-35%)

₹179

• Author(s): Sudha Murty • Publisher: India Puffin • Publisher Imprint: India Puffin • BISAC: Action & Adventure - General

Rich Dad Poor Dad: What the Rich Teach Their Kids about Money That the Poor and Middle Class Do Not!

₹390

₹599

(-35%)

₹390

• Publisher: Penguin • Publisher Imprint: Penguin Random House • Subject: General Books • BISAC: Personal Finance - GeneralApril of 2022 marks a 25-year milestone for the personal finance classic Rich Dad Poor Dad that still ranks as the #1 Pers...

View full details

World’S Greatest Books For Personal Growth & Wealth (Set Of 4 Books) : Perfect Motivational

Dale Carnegie, Napoleon Hill

₹390

₹599

(-35%)

₹390

• Author(s): Dale Carnegie | Napoleon Hill • Publisher: Fingerprint • Publisher Imprint: Fingerprint • Subject: General Books

The Housemaid: An Addictive Psychological Thriller With Mind-Bending Twists

Freida Mcfadden

₹358

₹550

(-35%)

₹358

• Author(s): Freida Mcfadden • Publisher: Penguin Select Print • Publisher Imprint: Penguin Select Publishing"Multi-Million Copy Bestselling Series •Now Being Made Into a Major Motion Picture Starring Sydney Sweeney and Amanda Seyfried #1 New Yor...

View full details

101 Tales: The Great Panchatantra Collection

Wonder House Books

₹390

₹599

(-35%)

₹390

• Author(s): Wonder House Books • Publisher: Wonder House Books • Publisher Imprint: Wonder House Books • BISAC: Comics & Graphic Novels - Fairy Tales, Folklore, Legends & MTimeless Wisdom, Talking Animals & Life Lessons for Young Min...

View full details

Man's Search For Meaning

Viktor E. Frankl

₹293

₹450

(-35%)

₹293

• Author(s): Viktor E. Frankl • Publisher: Random House • Publisher Imprint: Random Hou • Subject: Medical, Nursing and Health Sciences

Bacchon KI Doctor's Desi Parenting Book: A Doctor-Mom's Guide to Milk, Myths, Motherhood and More

Madhavi Bharadwaj

₹260

₹399

(-35%)

₹260

• Author(s): Madhavi Bharadwaj • Publisher: PRH India • Publisher Imprint: Penguin Ebury Press • BISAC: Parenting - MotherhoodWelcome to the wild, messy, wonderful world of parenting--where the nights are long, the diapers are explosive, and unso...

View full details

The Outsider

Vir Das

₹455

₹699

(-35%)

₹455

• Author(s): Vir Das • Publisher: HarperCollins Publishers India • Publisher Imprint: HarperCollins Publishers India • BISAC: Entertainment & Performing ArtsComedian and actor Vir Das is beloved (by some, tolerated by others, blocked by a few...

View full details

The Very Hungry Caterpillar

Eric Carle

₹293

₹450

(-35%)

₹293

• Author(s): Eric Carle • Publisher: Penguin Books, Limited (UK) • Publisher Imprint: Penguin Books, Limited (UK) • BISAC: Animals - Butterflies, Moths & CaterpillarsEric Carle's The Very Hungry Caterpillar is a perennial favourite with child...

View full details

Too Good to Be True : A smart, funny will-they-won’t-they romance by mostlysane

Prajakta Koli

₹260

₹399

(-35%)

₹260

• Author(s): Prajakta Koli • Publisher: Harper Fiction India • Publisher Imprint: Harper Fiction India • BISAC: Romance - ContemporaryWinner of the Amazon India Popular Choice Debut Book 2025 Award. From one of India's most-loved creators comes s...

View full details

Tuesdays With Morrie (Export) (A Format)

Albom, Mitch

₹195

₹299

(-35%)

₹195

• Author(s): Albom, Mitch • Publisher: Little, Brown Book Group • Publisher Imprint: Sphere* Subtitled 'An old man, a young man, and life's greatest lesson', this is a true story of a man's rediscovery of his mentor - a book about second chances.

A Modern Perspective on Type Theory: From Its Origins Until Today

Related Category

Bestselling

Atomic Habits (Lead Title)

Ikigai

The Courage To Be Disliked How To Free Yourself Change Your Life And Achieve Real Happiness Courage To Series

12 Years: My Messed-up Love Story

The Mountain Is You: Transforming Self-Sabotage Into Self-Mastery

The Art of Spending Money: Simple Choices for a Richer Life

Mother Mary Comes To Me

Truth without Apology: A Guide for Those Who Can Stand It

Grandma's Bag of Stories

Days at the Morisaki Bookshop

Deep Work: Rules For Focused Success In A Distracted World

Can We Be Strangers Again?: A National Bestseller

The Secret of Secrets: (Robert Langdon Book 6)

Magic of the Lost Temple

Rich Dad Poor Dad: What the Rich Teach Their Kids about Money That the Poor and Middle Class Do Not!

World’S Greatest Books For Personal Growth & Wealth (Set Of 4 Books) : Perfect Motivational

The Housemaid: An Addictive Psychological Thriller With Mind-Bending Twists

101 Tales: The Great Panchatantra Collection

Man's Search For Meaning

Bacchon KI Doctor's Desi Parenting Book: A Doctor-Mom's Guide to Milk, Myths, Motherhood and More

The Outsider

The Very Hungry Caterpillar

Too Good to Be True : A smart, funny will-they-won’t-they romance by mostlysane

Tuesdays With Morrie (Export) (A Format)

Customer Reviews

Added to your cart:

A Modern Perspective on Type Theory: From Its Origins Until Today

Related Category

Bestselling

Customer Reviews

Country

Country