Logic Programming
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Week 6

This week, we begin our look at functional logic programming (FLP) and dynamic logic programming (DLP). As we shall see, FLP is an extension of traditional logic programing in which we define functions on datasets, and DLP is an extension of traditional logic programing in which we define operations that transform datasets into other datasets. The good news is that the semantics of function definitions and operation definitions are much simpler than the semantics of view definitions.

Next week, we will look at building "standalone applications" of logic programming and, more specifically, interactive "worksheets" (which run in World Wide Web browsers).

Since this is the first week of this unit, the assignments on this material are not due until the Sunday after next. That said, you might want to get started early on those assignments. Also, you will need to choose the topic for your term project by the end of next week.


Week 5

Phew. Last week was not an easy week for some people. The concepts of stratification and unification are difficult to grasp when they are seen for the first time. The good news is that, with these complexities behind us, the rest of the course is relatively easy.

This coming week, we will spend all of our time looking at examples. In our first session, we will concentrate on simple examples - Kinship and Blocks World and so forth. In our second session, we will move on to more complicated examples - lists and trees and sets.

As this is the second week of this unit of the course, the associated assignments are due by the end of the week (at midnight this coming Sunday). If you have not already done so, you should get to work on the assignments. Most are easy, but not all. Many people find the zebra problem to be difficult. For those of you who are breezing through the assignments and yearning for something more challenging, we suggest you take a look at the Tournament example.


Week 4

By this point in the course, you should be adept at writing queries that are both correct and reasonably efficient. Ideally, in Logic Programming, your only concern should be correctness, and efficiency should be left to the interpreter and/or compiler. As it turns out, there are tools that can significantly enhance the efficiency of logic programs (in ways that cannot be done with traditional imperative programs). However, in many cases, it is still necessary for the programmer to take efficiency into account.

This coming week, we start our look at view definitions. View definitions are similar to queries, except that we can name the resulting relations, and we can use them in the definitions of other relations. This capability is convenient, and it increases the expressiveness of our logic programming language. It also increases the complexity of our semantics and our execution algorithms. The upshot is that we will spend the entire week on these topics. Then, next week, we will look at examples of view definitions, and we will begin to get a sense of the real power and beauty of Logic Programming.

As with our treatment of queries, this unit of the course will take two weeks, and so the assignments on this material are not due until the Sunday after next. It is okay to take a glance at the assignments once they are posted, but if you get stuck you might want to wait to finish the assignments until you have read the relevant chapters and/or listened to the corresponding lectures. As always, make use of the Forum if you have any questions.


Week 3

We have now finished our look at relational queries. In Lesson 3, we saw precise definitions for the syntax and semantics of queries. If you want to know the answers to a query or the results of executing an update, you just need to think about the instances of the constituent rules and apply the definitions given in the lessons. Although these definitions are simple and precise mathematically, they are not satisfying from a computational point of view. The number of instances of query rules can be extremely large, even for finite Herbrand universes; and, of course, there are infinitely many instances for infinite Herbrand universes. The good news is that, in many cases, we can get by with much less work. In lesson 4, we saw an algorithm for evaluating queries without enumerating all query instances. This week, we look at functional queries and transitions.

The assignments for this unit are due by midnight this coming Sunday. (1) Note that you will likely have trouble doing the cryptarithmetic assignment without using some of the optimization techniques discussed in Lesson 4. (2) You may also need to enlarge Sierra's "Unification Limit", as this problem has quite a large search space. (3) Finally, if you are having trouble, you should consider working on a simplified version of the problem before tackling the entire problem. For example, you might start with a two column cryptarithmetic puzzle.


Week 2

By this point, you should have mastered the material in Chapters 1 and 2. From Chapter 1, you should be familiar with the basic idea of Logic Programming - logic programs as runnable specifications. From Chapter 2, you should understand the concept of datasets and some of the issues involved in creating datasets to describe application areas. In fact, you should be more than familiar with this material - ideally, you should be saying to yourself (and others) that, when all is said and done, this stuff is pretty easy. In fact, it *is* easy. But it is also very important, as we use datasets not just for practical purposes but also in defining the semantics of more complex notions to come.

Judging from the feedback we have received, it appears that, for some of you, the toughest part of the first assignment set was figuring out how to use the meta-vocabulary of types and predicates and attributes to describe types and predicates and attributes. Most of our work will be closer to the first assignment of the week (describing real world things, like movies), but we wanted you to do the metadata and escher assignments to get you to think explicitly about those concepts.

Week 2 focusses on queries. We add variables and logical operators to our language and show how to use them in writing queries, and we give a formal semantics for queries written within this language. As we shall see, the semantics is simple and very precise. However, it is not very practical from a computational point of view, and so we look at more practical algorithms for computing answers.

A reminder that we would like you to take advantage of the Forum. If you are confused about something, you might be able to get insight from others. If you have mastered the material, you might be able to help others; and explaining things might help you to understand the material more deeply.


Week 1

Okay. We are on our way! The course begins now. On Tuesday, we will have an introductory presentation on the subject matter of the course and course logistics. On Thursday, we will have our first substantive class.

Your goal this week is to read through and understand the first two chapters of the notes. The first chapter is just an overview, and it is an easy read. That said, you should not shortchange the material. The chapter talks about the main ideas of Logic Programming and how they relate to each other. The second chapter introduces Datasets. Datasets are fundamental to the theory of Logic Programming, and they are important in practical applications. The concept is simple, but there are some nuances; and we recommend you read the notes carefully and do the exercises.

You should also drop by the Forum to check out what others in the class are saying. There are some subtleties in Logic Programming that you can miss and that can lead to confusion. Engaging in discussion on the Forum is a good way to deal with these subtleties. And, even if you think you understand everything, you might consider using the Forum to help others and thus consolidate your understanding of the issues.

Note that this week's assignments are due by midnight next Sunday. After this, the assignments for each unit will be due every other week. Note that, when you click on an assignment, you will be asked to sign in. If you have not previously created an account, click Sign Up and enter your SUNet Id. The system will send a passcode to your id@stanford.edu. You can then use your id and this passcode to sign in.

The "Project" is not due this week. But you should start thinking about what you might want to do. Look at the assignments from previous years. And read the suggestions that we will post occasionally on the Forum. Finally, we would like you to form teams to do the project. Ideally three members per team, but four ok and two possible in extreme circumstances. If you have not found teammates after the first class or two, drop by the Forum and use the Teammate thread to find others in need of teammates.


Course Overview

Logic Programming is a style of programming based on Symbolic Logic. In recent years, there has been increasing interest in Logic Programming due to applications in deductive databases, automated worksheets, Enterprise Management (business rules), Computational Law, and General Game Playing.

This course is an introduction to Logic Programming theory, current technology, and popular applications. Work in the course takes the form of lectures, readings, online exercises, programming assignments, and a term project.

There will be twenty in-person class sessions - on Tuesdays and Thursdays from 1:30 pm - 2:50 pm. See the table below for a summary of the topics of these sessions. Note that you should attend all sessions. We will occasionally present material in class that is not in the notes, and the sessions will not be recorded.

DateTopicLocationTime
March 31 Introduction Littlefield 107 1:30 - 2:50
April 2 Datasets Littlefield 107 1:30 - 2:50

April 7 Relational Queries Littlefield 107 1:30 - 2:50
April 9 Query Evaluation Littlefield 107 1:30 - 2:50
April 14 Functional Queries Littlefield 107 1:30 - 2:50
April 16 Transitions Littlefield 107 1:30 - 2:50

April 21 Views Littlefield 107 1:30 - 2:50
April 23 View Evaluation Littlefield 107 1:30 - 2:50
April 28 Simple Examples Littlefield 107 1:30 - 2:50
April 30 Lists, Sets, Trees Littlefield 107 1:30 - 2:50

May 5 Functions Littlefield 107 1:30 - 2:50
May 7 Operations Littlefield 107 1:30 - 2:50
May 12 Applications Littlefield 107 1:30 - 2:50
May 14 Worksheets Littlefield 107 1:30 - 2:50

May 19 Incomplete Data Littlefield 107 1:30 - 2:50
May 21 Goals and Constraints Littlefield 107 1:30 - 2:50
May 26 Advanced Logic Programming Littlefield 107 1:30 - 2:50
May 28 Past Projects Littlefield 107 1:30 - 2:50
June 2 Project Reports Littlefield 107 1:30 - 2:50
June 4 Project Reports Littlefield 107 1:30 - 2:50

All of the course materials are online here. There are links to lessons, additional readings, the Epilog language, the Sierra interactive development environment, examples, games, and an online discussion forum. Click the tabs at the top of this page to access this content. The Lessons tab is your friend. Use it. And be sure to check this page frequently, as we will be posting periodic updates here.

If you are desperate for a printed version of the course text, click on the image below to purchase a copy from Amazon. However, it is redundant with the online course materials and is not required.

Note that, as you proceed through the online materials, you may occasionally encounter minor errors or inconsistencies. Apologies in advance for this. We are still working on the course. You may get extra credit for reporting such problems (especially if your reports are not overly irate).


Teaching Staff

Michael Genesereth
Email: genesereth@stanford.edu
Office Hours: Wed 3:00 pm - 4:00 pm
Location: Gates 308
Manav Kant
Email: manavk@stanford.edu
Office Hours: Thu 3:00 pm - 4:00 pm
Location: Outside Gates 308


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