· books · 35 min read

Lambda Calculus Books

Are you ready to dive deep into the fascinating world of lambda calculus? Look no further! In this book roundup, we’ll be reviewing the top titles that have captured the essence of lambda calculus and taken it to new heights. Get ready to expand your knowledge and discover the beauty of this powerful mathematical discipline. So, grab your favorite book and let’s dive in!

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1. The Lambda Calculus

The Lambda Calculus | Cover Image

Its Syntax and Semantics


The Lambda Calculus: Its Syntax and Semantics by Hendrik Pieter Barendregt delves into the intricacies of lambda calculus, a fundamental and essential component of modern computing and programming. This comprehensive guide offers a detailed exploration of the syntax and semantics of lambda calculus, providing readers with a solid foundation to understand its applications.

The revised edition includes a new chapter that elegantly explains the semantics, offering a deeper understanding of this complex topic. It explores various classes of lambda calculus models in a unified manner, making it easier for readers to grasp the different aspects of this subject.

Moreover, the book has been enhanced with didactical improvements, making it more accessible and engaging for readers of all experience levels. An example of a simple lambda calculus model is provided, which is then followed by the development of the general theory of categorical models. This approach allows readers to build upon their understanding and gain valuable insights into the world of lambda calculus.

For educators and students seeking to create a structured course on lambda calculus, the book also includes indications of the parts that can be used to form a coherent course. This resource is an invaluable asset in the journey towards mastering lambda calculus and its significance in the realm of mathematics and computer science.

In conclusion, The Lambda Calculus: Its Syntax and Semantics is an essential read for anyone seeking a deeper understanding of this crucial concept in modern computing. With its comprehensive coverage, revised edition, and practical examples, this book is an indispensable resource for those venturing into the fascinating world of lambda calculus.


  • Authors: Hendrik Pieter Barendregt

  • Publisher: North Holland

  • Published Date: March 30, 1981

  • Page Count: 640.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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2. The Lambda Calculus

The Lambda Calculus | Cover Image

Its Syntax and Semantics


Delve into the enigmatic world of Lambda Calculus with the revised edition of “The Lambda Calculus: Its Syntax and Semantics” by H. P. Barendregt. This comprehensive guide takes you on a journey through the intricate syntax, exploring the semantics in an elegant and accessible manner.

With a focus on various lambda calculus models, this book presents them in a uniform and straightforward way, ensuring a firm understanding of the subject matter. Additionally, didactic improvements have been made to enhance the learning experience, making it suitable for both beginners and seasoned mathematicians. The book provides an example of a simple model and then develops the general theory, guiding readers through the intricate categorical models.

Further, it includes indications for those parts that can be used to form a cohesive course, allowing readers to maximize their learning experience. Experience the mastery of this influential mathematical subject with “The Lambda Calculus: Its Syntax and Semantics”.


  • Authors: H.P. Barendregt

  • Publisher: North Holland

  • Published Date: March 30, 1984

  • Page Count: 648.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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3. The Calculi of Lambda-conversion

The Calculi of Lambda-conversion | Cover Image

The Calculi of Lambda-conversion, by renowned mathematician Alonzo Church, is a groundbreaking exploration into the realm of mathematical conversion. This captivating book delves into the intricacies of Lambda-conversion, captivating readers with its innovative approach to complex mathematical concepts.

In this volume of the series “The Calculi of Lambda Conversion, ” Church takes readers on a journey through the transformative power of Lambda-conversion. With a clear and concise writing style, the author elucidates the essential elements of the process and how it can be applied to a variety of mathematical problems.

The Calculi of Lambda-conversion is not only an informative resource but also a thought-provoking one. As readers delve deeper into the book, they will find themselves not only mastering the techniques but also appreciating the beauty and elegance of Lambda-conversion in solving complex mathematical equations.

This impressive work from Alonzo Church is a must-read for anyone interested in the world of mathematics. With its concise yet comprehensive explanations, The Calculi of Lambda-conversion stands as a testament to the author’s brilliance and a valuable addition to any mathematics library.


  • Authors: Alonzo Church

  • Publisher: Princeton University Press

  • Published Date: January 21, 1985

  • Page Count: 112.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Average Rating: 5.0

  • Ratings Count: 1.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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4. Introduction to Combinators and (lambda) Calculus

Introduction to Combinators and (lambda) Calculus | Cover Image

Unlock the mysteries of combinators and lambda calculus with “Introduction to Combinators and (lambda) Calculus. ” This groundbreaking text, penned by esteemed authors J. R. Hindley and J. P. Seldin, delves into the fascinating world of combinatory logic and lambda-conversion, originally devised in the 1920s to explore the foundations of mathematics. Through the lens of ‘operation’ rather than ‘set, ’ these powerful linguistic tools have found their footing in logic and computer science, particularly as they relate to programming languages.

Crafted for readers with a background in undergraduate predicate calculus and recursive functions, yet devoid of prior knowledge regarding combinatory logic, this engaging volume walks you through the core principles and results. It’s a treasure trove of practical knowledge, complemented by a variety of specialized topics and hands-on exercises. As you delve into these intellectual realms, you’ll not only gain an understanding but also hone your manipulative skills, making this book an invaluable resource for any mathematics enthusiast.


  • Authors: J. R. Hindley, J. P. Seldin

  • Publisher: CUP Archive

  • Published Date: May 29, 1986

  • Page Count: 372.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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5. Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications | Cover Image

International Conference on Typed Lambda Calculi and Applications, TLCA ‘93, March 16-18, 1993, Utrecht, The Netherlands. Proceedings


Discover the world of Typed Lambda Calculi and its diverse applications in this comprehensive collection of papers from the first international conference on the subject. Hosted by Utrecht University’s Department of Philosophy, TLCA ‘93 attracted 51 submissions, ultimately selecting 29 exceptional pieces to be featured in this insightful volume.

The lambda calculus, developed in the 1930s by Alonzo Church, has proven to be a fascinating model of computation that laid the foundation for untyped functional programming languages. This volume explores the operational and denotational semantics of lambda calculus, its practical implications, and its role as a bridge between functional programming languages and logical theories.

In this book, you’ll find engaging discussions on the use of lambda calculus in automated proof checking systems and the creation of more mathematically succinct functional programming languages. As the proceedings of TLCA ‘93, this volume offers a wealth of information on Typed Lambda Calculi and its numerous applications, making it an essential resource for all those interested in understanding and applying this powerful concept in the field of computers.


  • Authors: Marc Bezem, Jan F. Groote

  • Publisher: Springer Science & Business Media

  • Published Date: March 03, 1993

  • Page Count: 452.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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6. Lambda-calculus, Types and Models

Lambda-calculus, Types and Models | Cover Image

”Learn the fundamental concepts of Lambda-calculus with ‘Lambda-calculus, Types and Models’ by Jean Louis Krivine. This comprehensive guide takes an in-depth look at combinatory logic, models, and type streams, exploring the intricate connections between these essential components of computer science. With a clear, concise writing style, this book offers an engaging introduction to advanced topics in computer science.

Don’t miss the chance to strengthen your understanding of Lambda-calculus with this essential resource! “.


  • Authors: Jean Louis Krivine

  • Publisher: Prentice Hall

  • Published Date: March 30, 1993

  • Page Count: 202.0

  • Print Type: BOOK

  • Categories: Lambda calculus

  • Average Rating: 4.0

  • Ratings Count: 1.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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7. Lambda Calculi

Lambda Calculi | Cover Image

A Guide for Computer Scientists


Learn the foundational role of the lambda-calculus in computer science, from its impact on programming languages to cutting-edge research in the field. In this engrossing guide for computer scientists, Chris Hankin covers everything from the basics of the calculus and its reduction to its connection with combinatory logic. Discover the ins and outs of the simple and polymorphic lambda-calculi and find out about exciting variants such as the lazy, concurrent y, and lambda omega-calculi.

With practical relevance and numerous exercises throughout, this insightful book is a perfect compass for final-year undergrads and first-year graduates in computer science, as well as an illuminating introduction for research students to delve deeper into the field.


  • Authors: Chris Hankin

  • Published Date: March 30, 1994

  • Page Count: 184.0

  • Print Type: BOOK

  • Categories: Lambda calculus

  • Maturity Rating: NOT_MATURE

  • Language: en


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8. Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications | Cover Image

Third International Conference on Typed Lambda Calculi and Applications, TLCA ‘97, Nancy, France, April 2-4, 1997, Proceedings


Discover the latest advancements in the field of typed lambda calculi with “Typed Lambda Calculi and Applications, ” published by Springer Science & Business Media in 1997. Edited by esteemed authors Philippe de Groote and J. Roger Hindley, this volume showcases the refereed proceedings from the Third International Conference on Typed Lambda Calculi and Applications, held in Nancy, France in 1997.

The book gathers the 24 revised full papers out of 54 submissions, carefully chosen by experts in the field, to present key research progress since the predecessor conference in 1995. This collection of articles competently reflects the state-of-the-art in the area and will benefit academics and professionals alike.

With 420 pages, this valuable resource is comprised of a comprehensive range of topics, offering insights from major figures in the field of computers. This book is the go-to resource for anyone seeking to stay updated with the latest developments and trends in typed lambda calculi. Don’t miss your chance to delve into the world of computational innovation - grab your copy of “Typed Lambda Calculi and Applications” now!


  • Authors: Philippe de Groote, J. Roger Hindley

  • Publisher: Springer Science & Business Media

  • Published Date: March 12, 1997

  • Page Count: 420.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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9. Domains and Lambda-Calculi

Domains and Lambda-Calculi | Cover Image

”Domains and Lambda-Calculi” by Roberto M. Amadio and Pierre-Louis Curien is a highly informative graduate textbook, focusing on the mathematical foundations of programming languages.

This tome delves into operational and denotational semantics, providing a thorough exploration of the subject matter. With its esteemed authors and a comprehensive scope, this invaluable resource is a must-read for those seeking a greater understanding of the intricacies behind programming languages. Don’t miss this opportunity to broaden your horizons and expand your knowledge.


  • Authors: Roberto M. Amadio, Pierre-Louis Curien

  • Publisher: Cambridge University Press

  • Published Date: July 02, 1998

  • Page Count: 504.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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10. Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications | Cover Image

6th International Conference, TLCA 2003, Valencia, Spain, June 10-12, 2003, Proceedings


Typed Lambda Calculi and Applications: 6th International Conference (TLCA 2003) brings together 40 submissions, out of which 21 were meticulously reviewed and accepted for presentation in the conference held in Valencia, Spain, in June 2003. The book features refereed proceedings from the event and provides comprehensive research on all aspects of Typed Lambda Calculi.

From theoretical and methodological issues to the practical application of proof assistants, readers will be immersed in understanding the complex world of Typed Lambda Calculi. The total page count of this authoritative book stands at 325 pages, and it belongs to the Mathematics category.


  • Authors: Martin Hofmann

  • Publisher: Springer Science & Business Media

  • Published Date: May 27, 2003

  • Page Count: 325.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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11. Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications | Cover Image

5th International Conference, TLCA 2001 Krakow, Poland, May 2-5, 2001 Proceedings


Delve into the complex world of typed lambda calculi with this comprehensive publication, Typed Lambda Calculi and Applications. This is the fifth in the series of international conferences dedicated to exploring and advancing the understanding of typed lambda calculi, showcasing the latest research in this intriguing field.

Filled with 28 meticulously reviewed and carefully selected full papers, this volume covers an extensive range of topics related to typed lambda calculi. Explore the intricacies of type systems, subtypes, coalgebraic methods, pi-calculus, recursive games, and much more. With an impressive roster of 55 submissions, this book presents cutting-edge innovations that provide invaluable insights for both researchers and practitioners in the field of mathematics.

The 436 pages of Typed Lambda Calculi and Applications serve as your ultimate guide to the intricacies of lambda calculi and its applications. Whether you are a seasoned professional or just starting to explore this fascinating subject, this book has something to offer. So, don’t miss the opportunity to dive into the world of typed lambda calculi and expand your mathematical horizons.


  • Authors: Samson Abramsky

  • Publisher: Springer

  • Published Date: June 29, 2003

  • Page Count: 436.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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12. An Introduction to Lambda Calculi for Computer Scientists

An Introduction to Lambda Calculi for Computer Scientists | Cover Image

An Introduction to Lambda Calculi for Computer Scientists is a comprehensive guide to understanding the foundation of computer science. Written by renowned computer scientist Chris Hankin, this book delves into the importance and influence of the lambda-calculus in programming language design and implementation, denotational semantics, and domain theory.

The book emphasizes the proof theory for the type-free lambda-calculus and provides a thorough overview of its basic theory, reduction, models, computability, and relationship with combinatory logic. Chapters 7 to 8 introduce readers to different types of typed calculi, including the simply typed lambda-calculus, Milner-style polymorphism, and polymorphic lambda-calculus. Lastly, the final chapter contains references and a guide to further reading.

This work is written from a computer science perspective and targets practical relevance, making it an essential read for final-year undergraduates or first-year graduate students in computer science. Moreover, research students will benefit from the book as an introduction to more specialized literature in the field.


  • Authors: Chris Hankin

  • Publisher: College Publications

  • Published Date: March 30, 2004

  • Page Count: 164.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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13. Abstract Computing Machines

Abstract Computing Machines | Cover Image

A Lambda Calculus Perspective


”Abstract Computing Machines: A Lambda Calculus Perspective” by Werner Kluge delves into the depths of lambda calculus and its applications in abstract computing machines. Unlike other texts focusing on weakly normalizing machines, this book emphasizes the design of fully normalizing lambda calculus machinery.

By doing so, it provides a comprehensive understanding of these complex systems and their intricate workings. With 382 pages and categorized under “Computers, ” this knowledgeable resource is a must-read for those seeking to expand their grasp on these fascinating subjects.


  • Authors: Werner Kluge

  • Publisher: Springer Science & Business Media

  • Published Date: February 18, 2005

  • Page Count: 382.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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14. Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications | Cover Image

7th International Conference, TLCA 2005, Nara, Japan, April 21-23, 2005, Proceedings


”Typed Lambda Calculi and Applications” delves into the intricacies of typed lambda calculi, presenting cutting-edge research in a variety of contexts. With contributions from top experts in the field, this book is a comprehensive guide to current theoretical and methodological issues surrounding typed lambda calculi. The proceedings from the 7th International Conference on Typed Lambda Calculi and Applications, held in Nara, Japan, showcase a wide range of applications, highlighting the versatility of typed lambda calculi in today’s technological landscape.

Whether you’re a seasoned expert or just starting to explore this fascinating domain, “Typed Lambda Calculi and Applications” is an essential resource that promises to enlighten and inspire.


  • Authors: Pawel Urzyczyn

  • Publisher: Springer Science & Business Media

  • Published Date: April 07, 2005

  • Page Count: 443.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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15. Abstract Computing Machines

Abstract Computing Machines | Cover Image

A Lambda Calculus Perspective


”Abstract Computing Machines: A Lambda Calculus Perspective” delves into the fascinating world of lambda calculus, offering a comprehensive perspective for readers seeking a deeper understanding of this vital field. Authored by renowned computer scientist Werner Kluge, this remarkable publication aims to demystify the complexities of lambda calculus, enabling readers everywhere to grasp its intricacies.

The book’s core focus lies in the design of full-fledged, fully normalizing lambda calculus machinery, an area that has garnered considerable attention. Unlike weakly normalizing machines, this book emphasizes complete normalization, shedding light on what these machines can provide, and the potential breakthroughs they can bring about. Kluge’s expert guidance and insightful commentary make this publication a must-read for students, professionals, and anyone with a keen interest in the ever-evolving field of computers.


  • Authors: Werner Kluge

  • Publisher: Springer Science & Business Media

  • Published Date: March 30, 2006

  • Page Count: 384.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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16. Lambda-Calculus and Combinators

Lambda-Calculus and Combinators | Cover Image

An Introduction


Lambda-Calculus and Combinators: An Introduction offers a comprehensive guide to combinatory logic and lambda-calculus, two linguistic tools that have become essential in programming languages since their introduction in the 1920s. Written by renowned authors J. Roger Hindley and Jonathan P. Seldin, this book builds on their previous book which served as a primary reference for introductory courses for over 20 years. The authors have updated and revised the text to make it more accessible, maintaining their authoritative exposition.

The grammar and basic properties of both combinatory logic and lambda-calculus are explored, followed by an account of type-theory. The book covers both typed and untyped versions of the systems, highlighting their differences and how they are employed in programming languages. Lambda-calculus models are also explained in detail, as they form the backbone of much of the language’s semantics.

To ensure comprehension, the authors present the material in a non-technical manner, emphasizing key concepts and illustrating them with examples. Ample exercises are provided, ranging from basic to advanced levels, with solutions to most included at the end of the book. With its approachable and in-depth content, Lambda-Calculus and Combinators: An Introduction is an ideal reference for computer science students and professionals seeking to understand the foundational concepts of combinatory logic and lambda-calculus.


  • Authors: J. Roger Hindley, Jonathan P. Seldin

  • Publisher: Cambridge University Press

  • Published Date: July 24, 2008

  • Page Count: 346.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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17. Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications | Cover Image

9th International Conference, TLCA 2009, Brasilia, Brazil, July 1-3, 2009, Proceedings


Embark on a journey exploring the cutting-edge world of Type Lambda Calculi with “Typed Lambda Calculi and Applications. ” This highly-regarded 9th International Conference proceedings, published by Springer Science & Business Media, delves into the intricacies of Type Lambda Calculi, combining it with relevant applications and practical implementation strategies.

With 29 expertly crafted papers, including two esteemed invited talks, the proceedings reveal groundbreaking research in the realms of proof-theory, semantics, implementation, types, and programming. The well-structured selection of revised full papers, meticulously scrutinized from 53 submissions, ensures a thorough representation of the latest advancements in this complex field.

This insightful volume is perfect for researchers, engineers, and students interested in understanding the intricacies of Type Lambda Calculi and its wide-ranging applications. Get ready to dive into the world of programming, as “Typed Lambda Calculi and Applications” takes you on an intellectual adventure like no other!


  • Authors: Pierre-Louis Curien

  • Publisher: Springer Science & Business Media

  • Published Date: June 08, 2009

  • Page Count: 427.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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18. Lambda-calculus, Combinators and Functional Programming

Lambda-calculus, Combinators and Functional Programming | Cover Image

Lambda-calculus, Combinators and Functional Programming, by G. E. Revesz, offers an approachable introduction to these essential concepts in computer science. Originally published in 1988, this book balances the mathematical theory of lambda-calculus and combinators with their practical applications in functional programming. The author demonstrates the relevance of these theories to computer science, making it an excellent resource for students and researchers alike.

The self-contained presentation makes it suitable as a primary text for a course on functional programming, or as a supplementary resource for courses on programming languages, theory of computing, or semantics of programming languages. The book’s average rating and ratings count may vary, but don’t let that deter you from exploring the fascinating world of lambda-calculus, combinators, and functional programming.


  • Authors: G. E. Revesz

  • Publisher: Cambridge University Press

  • Published Date: June 25, 2009

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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19. Pattern Calculus

Pattern Calculus | Cover Image

Computing with Functions and Structures


”Pattern Calculus: Computing with Functions and Structures” by Barry Jay is a groundbreaking exploration of a unifying framework for programming, where computation is seen as pattern matching. This book delves into the fundamental principles and interrelations of different programming styles and paradigms, shedding light on a 50-year development in the field.

The pattern calculus approach, presented in this volume, aims to bridge the gaps between functional, imperative, relational, and object-oriented programming. It showcases how patterns can be dynamically generated, discovered, passed, applied, and adapted based on pattern matching and rewriting technology. This allows for the elegant and automatic relating of functions and data structures - a concept that goes beyond the scope of existing programming languages.

In “Pattern Calculus, ” readers will find well-presented arguments that elucidate the power of pattern matching as the guiding paradigm of programming. This engaging and informative book is an essential resource for those seeking a comprehensive understanding of the fundamental principles of programming languages and their impact on the larger context of computing.


  • Authors: Barry Jay

  • Publisher: Springer Science & Business Media

  • Published Date: July 30, 2009

  • Page Count: 217.0

  • Print Type: BOOK

  • Categories: Computers

  • Average Rating: 1.0

  • Ratings Count: 2.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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20. Semantic Techniques in Quantum Computation

Semantic Techniques in Quantum Computation | Cover Image

Semantic Techniques in Quantum Computation provides an illuminating exploration of the fascinating field of quantum computation, delving into the complexities and intricacies of this rapidly evolving area of study. The authors, Simon Gay and Ian Mackie, invite readers to join them as they uncover the secrets of quantum computation through the lens of theoretical computer science and semantics.

This comprehensive guide, published by Cambridge University Press in 2010, spans 497 pages and offers a rich, in-depth analysis of the topic at hand. Written with a balance of accessibility and technical depth, Semantic Techniques in Quantum Computation is an invaluable resource for anyone seeking to understand the inner workings of quantum computation, whether they are beginners or seasoned professionals in the field.

With its extensive coverage, Semantic Techniques in Quantum Computation is a must-read for researchers, students, and anyone interested in the intersection of quantum computing, computer science, and semantics. The book stands as a testament to the remarkable advancements in this field and offers tantalizing insights into the potential applications and challenges that lie ahead. Don’t miss out on this enlightening journey into the world of quantum computation.


  • Authors: Simon Gay, Ian Mackie

  • Publisher: Cambridge University Press

  • Published Date: March 30, 2010

  • Page Count: 497.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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21. Head-Order Techniques and Other Pragmatics of Lambda Calculus Graph Reduction

Head-Order Techniques and Other Pragmatics of Lambda Calculus Graph Reduction | Cover Image

Head-Order Techniques and Other Pragmatics of Lambda Calculus Graph Reduction explores the operational aspects of Lambda Calculus as a foundation for high-order functional computation. Featuring systems with full reduction semantics, the book delves into the techniques of normal-order graph Head Order Reduction (HOR), allowing expression-level results while exhibiting a linear self-modifying code structure. Alongside various HOR variations, the book compares efficient reducers with and without sharing.

It also includes abstract machine and concrete implementations of all the reducers, providing a comprehensive understanding of Lambda Calculus and its applications. The original results indicate near-real-time reduction rates, making this book a valuable source for researchers and professionals in the field of computer science.


  • Authors: Nikos B. Troullinos

  • Publisher: Universal-Publishers

  • Published Date: October 30, 2011

  • Page Count: 250.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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22. Isomorphisms of Types

Isomorphisms of Types | Cover Image

from ?-calculus to information retrieval and language design


”Discover the intricate world of isomorphisms of types, a groundbreaking topic in type theory, and learn how it has shaped programming language design and human-centered information retrieval in software libraries. ‘Isomorphisms of Types’ by renowned author Roberto DiCosmo delves into the syntax of the widely known typed A-calculus to uncover simple equations between types that improve language design and pave the way for innovative information retrieval systems.

Packed with both theoretical insights and a functional implementation of these discoveries, this book offers valuable material for both theoreticians and practitioners alike. A unique read full of depth and practicality. “.


  • Authors: Roberto DiCosmo

  • Publisher: Springer Science & Business Media

  • Published Date: December 06, 2012

  • Page Count: 238.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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23. The Parametric Lambda Calculus

The Parametric Lambda Calculus | Cover Image

A Metamodel for Computation


Discover the world of Lambda Calculus through a fresh, concise, and engaging study in “The Parametric Lambda Calculus” by Simona Ronchi Della Rocca and Luca Paolini. This insightful book offers an innovative and unique approach to classical results in Lambda Calculus, revealing the potential for new results and a comprehensive view of the subject.

Authors Della Rocca and Paolini introduce a new, parametric lambda calculus, which is a flexible and adaptable calculus that can be used to obtain various different known calculi. By unifying these calculi under one umbrella, they allow for the simplification of proofs that were previously separated and scattered across different sources.

This groundbreaking work emphasizes the importance of operational and denotational semantics while exploring the semantics of lambda calculi from a holistic computer science point of view. Researchers and students studying the foundations of computer science will find this book invaluable as a textbook for master’s or Ph. D. courses.

With its comprehensive yet concise approach, “The Parametric Lambda Calculus” is a must-read for anyone interested in gaining a deep understanding of the intricate world of Lambda Calculus. Embark on a thrilling journey in the realm of computational theory with this compelling study.


  • Authors: Simona Ronchi Della Rocca, Luca Paolini

  • Publisher: Springer Science & Business Media

  • Published Date: March 09, 2013

  • Page Count: 254.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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25. An Introduction to Functional Programming Through Lambda Calculus

An Introduction to Functional Programming Through Lambda Calculus | Cover Image

Dive into the fascinating world of Functional Programming with “An Introduction to Functional Programming Through Lambda Calculus” by Greg Michaelson. This expert-authored textbook is perfect for computer science students who are eager to understand the fundamental concepts of functional programming. With a user-friendly approach, readers will appreciate the clear explanations and insightful examples that illustrate the core ideas of functional programming.

This comprehensive guide not only covers the theoretical aspects, but it also provides plenty of practical exercises to help reinforce your understanding. What’s more, the book features a thorough list of solutions, ensuring you can track your progress as you delve deeper into the world of functional programming.

”An Introduction to Functional Programming Through Lambda Calculus” is your go-to resource when it comes to mastering functional programming and exploring its fascinating applications within the ever-evolving field of computer science. Discover the joy and depth of pure functional programming, and open new doors to your coding journey with this insightful textbook.


  • Authors: Greg Michaelson

  • Publisher: Courier Corporation

  • Published Date: April 10, 2013

  • Page Count: 336.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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26. Lambda Calculus with Types

Lambda Calculus with Types | Cover Image

Lambda Calculus with Types is a groundbreaking handbook that explores the hidden mathematical beauty of lambda calculus in the context of formalism, hardware and software design, and verification, presented in a comprehensive and accessible manner. Authored by renowned experts Henk Barendregt, Wil Dekkers, and Richard Statman, this book delves into the three classes of typing for lambda terms: simple types, recursive types, and intersection types. Suitable for both beginners and experts, Lambda Calculus with Types offers an exhaustive bibliography and numerous exercises designed to deepen readers’ understanding and enhance their confidence when working with types.

Whether you’re a computer scientist, a mathematician, or simply someone with a passion for exploring the depths of human knowledge, Lambda Calculus with Types is an essential guide to unlocking the incredible world of lambda calculus.


  • Authors: Henk Barendregt, Wil Dekkers, Richard Statman

  • Publisher: Cambridge University Press

  • Published Date: June 20, 2013

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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27. Rewriting and Typed Lambda Calculi

Rewriting and Typed Lambda Calculi | Cover Image

Joint International Conferences, RTA and TLCA 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, Vienna, Austria, July 14-17, 2014, Proceedings


”Rewriting and Typed Lambda Calculi” is a comprehensive, research-driven compilation of proceedings from two international conferences held in Vienna, Austria. This book features 28 refined full papers and 3 short papers, meticulously selected from 87 submissions.

The conference proceedings cover an extensive range of topics, encompassing research on algorithmic, implementation, logical, typological, semantic, syntactical, and programming aspects of rewriting and typed lambda calculi. This publication sheds light on crucial theoretical and methodological issues, as well as practical applications within multiple contexts, making it an invaluable resource for those involved in the fields of mathematics, logic, and computer science.


  • Authors: Gilles Dowek

  • Publisher: Springer

  • Published Date: July 01, 2014

  • Page Count: 491.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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28. A Simple Lambda-Calculus Model of Programming Languages

A Simple Lambda-Calculus Model of Programming Languages | Cover Image

In “A Simple Lambda-Calculus Model of Programming Languages, ” author S Kamal Abdali delves into the heart of lambda-calculus, providing an accessible introduction to one of the most fundamental aspects of computer science.

Throughout the book, readers will explore how lambda-calculus serves as a universal model for understanding different programming languages. By breaking down concepts and simplifying language, Abdali allows both beginners and experienced programmers to engage in the profound world of lambda-calculus.

With 62 pages of content covering lambda-calculus, the book offers a unique perspective on how this theory impacts the field of computer science. It is essential reading for anyone seeking a deeper understanding of programming languages and their underlying principles.

As a cultural artifact, this book is a vital piece of the knowledge base that shapes the very foundation of civilization. By preserving and sharing this work, readers can appreciate the importance of keeping this knowledge alive and relevant.

”A Simple Lambda-Calculus Model of Programming Languages” is an essential read for anyone interested in computer science, programming languages, and mathematical foundations of computing. With its engaging insights and profound content, this book is sure to leave a lasting impact on readers, inspiring them to explore the depths of lambda-calculus and its impact on our world.


  • Authors: S Kamal Abdali

  • Publisher: Palala Press

  • Published Date: September 06, 2015

  • Page Count: 62.0

  • Print Type: BOOK

  • Maturity Rating: NOT_MATURE

  • Language: en


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29. Semantics of the Probabilistic Typed Lambda Calculus

Semantics of the Probabilistic Typed Lambda Calculus | Cover Image

Markov Chain Semantics, Termination Behavior, and Denotational Semantics


Embark on a journey through the complex world of probabilistic programming semantics with Dirk Draheim’s “Semantics of the Probabilistic Typed Lambda Calculus. ” This groundbreaking book delves into the intricacies of Markov chain semantics, termination behavior, and denotational semantics. By exploring the probabilistic typed lambda calculus - a type of lambda calculus that combines recursion, probabilistic choice, and recursive lambda definitions - readers will gain a comprehensive understanding of the foundational aspects of probabilistic programming. With an emphasis on mathematical tools such as Markov chains, graph theory, and domain theory, this book guides readers through the intricacies of inductive definitions and the syntax of the probabilistic lambda calculus.

The work concludes with an investigation into the termination behavior of probabilistic programs and the concepts of termination degree, bounded termination, and path stoppability. Primarily geared towards researchers in theoretical computer science, randomized algorithms, and programming language theory, “Semantics of the Probabilistic Typed Lambda Calculus” is a must-read for those seeking a deeper understanding of probabilistic programming. Don’t miss out on this essential addition to your research library!


  • Authors: Dirk Draheim

  • Publisher: Springer

  • Published Date: February 28, 2017

  • Page Count: 218.0

  • Print Type: BOOK

  • Categories: Computers

  • Maturity Rating: NOT_MATURE

  • Language: en


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30. A Simple Lambda-Calculus Model of Programming Languages (Classic Reprint)

A Simple Lambda-Calculus Model of Programming Languages (Classic Reprint) | Cover Image

“A Simple Lambda-Calculus Model of Programming Languages” is a classic reprint that delves into the intricacies of computer science, specifically focusing on the concept of Lambda-Calculus, a mathematical system used to model programming languages. The author, S. Kamal Abdali, masterfully explores this complex subject in a concise and approachable manner.

Forgotten Books has meticulously reconstructed this historical work, preserving the original format and repairing any imperfections that may arise from the age of the book. This reprint serves as a valuable resource for those seeking a deep understanding of Lambda-Calculus and its role in programming.

The book is a compact yet comprehensive study, with a total of 66 pages and aimed at a broad audience of mathematicians and computer scientists. Its presentation remains unchanged since its original publication, offering readers a unique glimpse into the past while still maintaining its relevance today.

In summary, “A Simple Lambda-Calculus Model of Programming Languages” is an essential read for anyone interested in the foundations of computer science, with a particular focus on the Lambda-Calculus model. It is a testament to the author’s expertise in the field and a valuable historical reprint by Forgotten Books.


  • Authors: S. Kamal Abdali

  • Publisher: Forgotten Books

  • Published Date: September 13, 2017

  • Page Count: 66.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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31. A++ and the Lambda Calculus

A++ and the Lambda Calculus | Cover Image

Principles of Functional Programming


Embark on a journey of functional programming with “A++ and the Lambda Calculus, ” where you’ll unravel the principles of one of the most intriguing branches of programming. This compact book offers an in-depth exploration of the Lambda Calculus, a mathematical-logical system conceived by Alonzo Church in the 1930s. With its roots in theoretical foundations, Lambda Calculus is the foundation of all functional programming languages.

”A++ and the Lambda Calculus” also introduces the educational programming language A++, designed to facilitate learning and mastery of functional programming. As a minimalistic language, A++ serves as an excellent starting point for understanding the core concepts and patterns of programming that can be employed across various languages.

Whether you’re a seasoned programmer seeking to expand your knowledge or a beginner eager to discover the fundamentals of functional programming, “A++ and the Lambda Calculus” provides an engaging and informative introduction to the world of functional programming. Dive in and unlock the potential of this powerful concept!


  • Authors: Georg P. Loczewski

  • Publisher: tredition

  • Published Date: May 09, 2018

  • Page Count: 81.0

  • Print Type: BOOK

  • Categories: Nature

  • Maturity Rating: NOT_MATURE

  • Language: en


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32. Lecture Notes on the Lambda Calculus

Lecture Notes on the Lambda Calculus | Cover Image

Delve into the fascinating world of lambda calculus with Peter Selinger’s “Lecture Notes on the Lambda Calculus. ” These comprehensive lecture notes, developed from courses taught at the University of Ottawa and Dalhousie University, provide an in-depth look at the untyped lambda calculus, Church-Rosser theorem, combinatory algebras, simply-typed lambda calculus, Curry-Howard isomorphism, normalization, polymorphism, type inference, denotational semantics, complete partial orders, and PCF language. Whether you’re a student or a professional seeking to refine your understanding of this fundamental subject, these meticulously crafted lectures will prove invaluable.


  • Authors: Peter Selinger

  • Published Date: October 04, 2018

  • Page Count: 108.0

  • Print Type: BOOK

  • Categories: Science

  • Maturity Rating: NOT_MATURE

  • Language: en


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33. A Concise Note on Lambda Calculus

A Concise Note on Lambda Calculus | Cover Image

A Concise Note on Lambda Calculus is a compact and essential guide for professionals and students seeking knowledge in Lambda calculus. This formalist field serves as the foundation for many functional programming languages, bridging the gap between mathematical thinking and software engineering. The book, authored by Bhim P. Upadhyaya, delivers a quick yet comprehensive introduction to Lambda calculus.

Ideal for software engineers and engineering students, this concise note enables a smooth transition into Lambda calculus. Its practicality aligns with other engineering disciplines, allowing readers to process programs and software as mathematical constructs. Furthermore, the time-saving nature of this book addresses the constraint of limited time faced by professionals.

With 34 pages, A Concise Note on Lambda Calculus simplifies the complexities of Lambda calculus, making it approachable for beginners. It eliminates the need for lengthy, cumbersome texts, ensuring that readers can swiftly understand and apply Lambda calculus in their work with ease.

Whether you are a professional software engineer looking to expand your knowledge, an engineering student aiming to learn a new skill, or simply someone interested in the world of computer science, this book offers a valuable and concise introduction to Lambda calculus.


  • Authors: Bhim P. Upadhyaya

  • Publisher: Independently Published

  • Published Date: November 24, 2018

  • Page Count: 34.0

  • Print Type: BOOK

  • Maturity Rating: NOT_MATURE

  • Language: en


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34. From Lambda Calculus to Cybersecurity Through Program Analysis

From Lambda Calculus to Cybersecurity Through Program Analysis | Cover Image

Essays Dedicated to Chris Hankin on the Occasion of His Retirement


This esteemed Festschrift is a celebration of the remarkable legacy and career of Professor Chris Hankin, who is marking his 65th birthday. A renowned expert in cybersecurity, data analytics, and semantics-based program analysis, Professor Hankin has dedicated his life to defense against cyber attacks. This collection of scientific contributions is in honor of his illustrious career and serves to provide befitting commemorative essays on his retirement.

The volume is structured around various research themes that have significantly impacted Professor Chris Hankin’s career, including logic and type theory for programming languages, program analysis, and abstract interpretation. A meticulous documentation of his life’s work, this Festschrift makes for an essential reading for anyone interested in Chris Hankin’s remarkable scholarly journey.


  • Authors: Alessandra Di Pierro, Pasquale Malacaria, Rajagopal Nagarajan

  • Publisher: Springer Nature

  • Published Date: February 14, 2020

  • Page Count: 300.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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35. A Lambda Calculus Satellite

A Lambda Calculus Satellite | Cover Image

A Lambda Calculus Satellite delves into the world of lambda-calculus, a fundamental concept that revolutionized the field of computers and mathematics. Exploring this theory from a unique perspective, the book focuses on the intricate study of tree-like structures and their underlying actions. Building upon Henk Barendregt’s influential work, “The Lambda Calculus, its Syntax and Semantics, ” this satellite volume presents an in-depth analysis of the open conjectures and their solutions, while also introducing new topics of interest.

This fascinating exploration of lambda-calculus offers valuable insights into a crucial aspect of computing and mathematical advancements.


  • Authors: Henk Barendregt, Giulio Manzonetto

  • Published Date: January 12, 2023

  • Print Type: BOOK

  • Maturity Rating: NOT_MATURE

  • Language: en


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36. A Constructive Semantics Of The Lambda Calculus

A Constructive Semantics Of The Lambda Calculus | Cover Image

Embark on a journey into the world of programming languages and their behavior, as author Kalyan Shenkar Basu introduces the lambda calculus, a powerful and versatile mathematical tool, in his book “A Constructive Semantics Of The Lambda Calculus. ” This invaluable resource is perfect for readers with a basic understanding of discrete mathematics and computer science, offering an exceptional introduction to the study of lambda calculus. Whether you’re a seasoned academic or a curious newcomer, this work is guaranteed to enrich your understanding and appreciation of the complex and fascinating field of programming languages. Join the ranks of scholars who have recognized the cultural significance of this book, as it stands as an essential part of the preservation and advancement of knowledge in our contemporary civilization.


  • Authors: Kalyan Shenkar Basu

  • Publisher: Legare Street Press

  • Published Date: July 18, 2023

  • Print Type: BOOK

  • Maturity Rating: NOT_MATURE

  • Language: en


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