Browse / Mathematics
Many-Dimensional Modal Logics 9780444508263

Many-Dimensional Modal Logics

Theory and Applications

ISBN-10: 0444508260
ISBN-13: 9780444508263
AUTHOR:
PUBLISHER: Elsevier Science & Technology Books
Also available at Amazon.com
Note: Not guaranteed to come with supplemental materials (access codes, CDs, DVDs)
Product Description: Modal logics, originally conceived in philosophy, have recently found many applications in computer science, artificial intelligence, the foundations of mathematics, linguistics and other disciplines. Celebrated for their good computational behaviour, modal logics are used as effective formalisms for talking about time, space, knowledge, beliefs, actions, obligations, provability, etc. However, the nice computational properties can drastically change if we combine some of these formalisms into a many-dimensional system, say, to reason about knowledge bases developing in time or moving objects.



To study the computational behaviour of many-dimensional modal logics is the main aim of this book. On the one hand, it is concerned with providing a solid mathematical foundation for this discipline, while on the other hand, it shows that many seemingly different applied many-dimensional systems (e.g., multi-agent systems, description logics with epistemic, temporal and dynamic operators, spatio-temporal logics, etc.) fit in perfectly with this theoretical framework, and so their computational behaviour can be analyzed using the developed machinery.



We start with concrete examples of applied one- and many-dimensional modal logics such as temporal, epistemic, dynamic, description, spatial logics, and various combinations of these. Then we develop a mathematical theory for handling a spectrum of 'abstract' combinations of modal logics - fusions and products of modal logics, fragments of first-order modal and temporal logics - focusing on three major problems: decidability, axiomatizability, and computational complexity. Besides the standard methods of modal logic, the technical toolkit includes the method of quasimodels, mosaics, tilings, reductions to monadic second-order logic, algebraic logic techniques. Finally, we apply the developed machinery and obtained results to three case studies from the field of knowledge representation and reasoning: temporal epistemic logics for reasoning about multi-agent systems, modalized description logics for dynamic ontologies, and spatio-temporal logics.



The genre of the book can be defined as a research monograph. It brings the reader to the front line of current research in the field by showing both recent achievements and directions of future investigations (in particular, multiple open problems). On the other hand, well-known results from modal and first-order logic are formulated without proofs and supplied with references to accessible sources.



The intended audience of this book is logicians as well as those researchers who use logic in computer science and artificial intelligence. More specific application areas are, e.g., knowledge representation and reasoning, in particular, terminological, temporal and spatial reasoning, or reasoning about agents. And we also believe that researchers from certain other disciplines, say, temporal and spatial databases or geographical information systems, will benefit from this book as well.



Key Features:



. Integrated approach to modern modal and temporal logics and their applications in artificial intelligence and computer science



. Written by internationally leading researchers in the field of pure and applied logic



. Combines mathematical theory of modal logic and applications in artificial intelligence and computer science



. Numerous open problems for further research



. Well illustrated with pictures and tables

Additional Details


PUBLICATION DATE:
PAGES: 766
CATEGORY: Mathematics
Star

21 Day Unconditional Guarantee

any book, any reason

Rent This Book Now:

Price guaranteed for 45:00 longer
Due May 15 $186.80
130 days (due Jul 5) $207.10
85 days (due May 21) $188.46
55 days (due Apr 21) $180.18
Select Your Own Date
--

Buy this book used:

$227.81

List Price: $190.00
Your Savings:
Total Price:
 

REVIEWS for Many-Dimensional Modal Logics


Select a star rating

FAQ'S

1. How do textbook rentals work?
It’s simple. Begin by searching for your textbook by ISBN (10 or 13-digit number that can be found on the back cover of each book), title, author or keyword. Next select how long you would like to rent the book then add it to your cart. Repeat for each book you’re looking for. After completing the order we’ll ship them to you and you’ll also receive a prepaid mailer. Return your books in the mailer by your rental due date.
2. Is renting a textbook better than purchasing it?
We offer both! You can buy or rent the book through Campus Book Rentals. It’s up to you to decide which option best meets your educational needs.
3. How do I track my order?
Login to your account here, you’ll see your current rentals listed textbook rentals listed with a yellow box that says “track”. Click the box to view the tracking number. *Not all books will have a tracking number since they may be sent from one of our partners. Tracking numbers will be updated as they become available.
4. How do I return my books?
When you rent textbooks from Campus Book Rentals you’ll receive a prepaid mailer. When it’s nearing your due date you’ll place your books inside the mailer and take it to the nearest USPS drop box or Post Office. If you don’t receive a mailer you can print a return label from your account. Return shipping is prepaid so please use either of the two methods to ensure they arrive at the correct facility.
5. Can I write or highlight in my book?
Of course! Just remember that future students will rent the same book after you, so please be respectful.
6. How much money can renting my books save?
It depends on the book. Generally renting textbooks can save you up to 80% compared to a new textbook.
7. Are Campus Book Rentals’ books the same as my bookstore’s?
Yes! We only ship US edition textbooks, which are the same as your campus bookstore.
8. Do access codes or other supplements come with a textbook rental?
One time use access codes and other supplemental materials are NOT included with rental books and must be purchased separately.
9. What if I don’t return my rental?
If your book rental is not returned by the due date, your credit card will be charged a non-return fee, equal to the replacement value for the book.
10. Can I purchase my book after I rent it?
Certainty! You’re only charged the difference between what you already paid and the value of the book at the time you initially rented. Login to your account and choose to purchase your book and it’ll walk you through the checkout process.

Textbook Rentals

We know that textbook rentals are the best way currently to distribute high quality textbooks, and we want to have you on board! Join over a million students that have saved money by renting! Not only is it better for you, but when you return it that book can go on to help even more students access affordable education. We're confident we offer the best value in rentals, but if you're not a believer you can always return your book for a no questions asked refund within 21 days.

Why Choose Us?

1. Campus Book Rentals pioneered the idea of textbook rentals, making prices significantly cheaper for every student while still maintaining the highest quality. We've been at it since 2007 and the entire industry has had to adapt to keep up.

2. Though keeping prices low has always been the goal, we can boast an excellent support team that has helped thousands of students get the best value for their education. Chat with them at 855-200-0021 or use our chat box.

3. We practice what we preach. We routinely read our own textbooks to further our own education while at work. We know that only with a well-educated team of individuals can we continue to change the industry for the better.

Make A Difference

At Campus Book Rentals our company is guided by a single question, "How are we making education more affordable?" We know that getting a college education is quickly becoming a rite of passage for students and is becoming more important every year. In order to make education more attainable for the 99%, we started renting textbooks so students could avoid high purchase prices and buyback programs. We know it's a better way, and we're going to show everyone how to make a college education affordable again.