Isomorphisms of Types:: from delta-calculus to information retrieval and language design

Available through our Marketplace sellers.
Other sellers (Hardcover)
  • All (2) from $38.55   
  • Used (2) from $38.55   
Sort by
Page 1 of 1
Showing All
Note: Marketplace items are not eligible for any coupons and promotions
Seller since 2009

Feedback rating:



New — never opened or used in original packaging.

Like New — packaging may have been opened. A "Like New" item is suitable to give as a gift.

Very Good — may have minor signs of wear on packaging but item works perfectly and has no damage.

Good — item is in good condition but packaging may have signs of shelf wear/aging or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Acceptable — item is in working order but may show signs of wear such as scratches or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Used — An item that has been opened and may show signs of wear. All specific defects should be noted in the Comments section associated with each item.

Refurbished — A used item that has been renewed or updated and verified to be in proper working condition. Not necessarily completed by the original manufacturer.

Like New
Our feedback rating says it all: Five star service and fast delivery! We have shipped four million items to happy customers, and have one MILLION unique items ready to ship today!

Ships from: Toledo, OH

Usually ships in 1-2 business days

  • Canadian
  • International
  • Standard, 48 States
  • Standard (AK, HI)
  • Express, 48 States
  • Express (AK, HI)
Seller since 2005

Feedback rating:


Condition: Like New
12-22-94 Hardcover FINE Crisp, clean, unread hardcover with light shelfwear to the boards, no dust jacket as issued with a publisher's mark to one edge-Nice! 1.2 lbs.

Ships from: Harrisburg, PA

Usually ships in 1-2 business days

  • Canadian
  • International
  • Standard, 48 States
  • Standard (AK, HI)
  • Express, 48 States
  • Express (AK, HI)
Page 1 of 1
Showing All
Sort by
Sending request ...

Product Details

Table of Contents

1 Introduction 11
1.1 What is a type? 12
1.2 Types in mathematical logic 13
1.3 Types for programming 14
1.4 Exploring typed [lambda]-calculi 23
1.5 The typed [lambda]-calculi used in this work 27
1.6 The Curry-Howard Isomorphism 30
1.7 Using types to classify and retrieve software 34
1.8 When are two types equal? 37
1.9 Isomorphisms and the lambda calculus 46
2 Confluence Results 57
2.2 Extensionality 61
2.4 Confluence 74
2.5 Weak normalization 79
2.6 Decidability and conservative extension results 81
3 Strong normalization results 85
3.1 Normalization without [actual symbol not reproducible] on gentop n.f.'s 86
3.2 Normalization without [actual symbol not reproducible] and SP[subscript top] 96
4 First-Order Isomorphic Types 101
4.1 Rewriting types 103
4.2 From [actual symbol not reproducible] to the classical [actual symbol not reproducible] 105
4.3 Using finite hereditary permutations 112
4.4 The complete theories of [actual symbol not reproducible] 116
5 Second-Order Isomorphic Types 119
5.1 Towards completeness 120
5.2 Characterizing canonical terms 124
5.3 Completeness for isomorphisms 139
5.4 Decidability of the equational theory 143
5.5 The complete theories of [actual symbol not reproducible] 145
5.6 Conclusions 146
A Properties of n-tuples 147
B Technical lemmas 151
C Miscellanea 161
6 Isomorphisms for ML 165
6.2 Isomorphisms of types in ML-style languages 167
6.3 Completeness and conservativity results 172
6.4 Deciding ML isomorphism 175
6.5 Adding isomorphisms to the ML type-checker 188
6.6 Conclusion 195
6.7 Some technical Lemmas 196
6.8 Completeness 196
6.9 Conservativity 200
7 Related Works, Future Perspectives 205
7.1 Equational matching of types 206
7.2 Using equational unification 210
7.3 Extending the paradigm 210
7.4 Future work and perspectives 212
Bibliography 215
Subject Index 233
Citation Index 237
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)