The term "symbolic manipulation (processing)" is used in contrast to "numerical processing" and it deals "formula manipulation"
in which mathematical computations such as differentiation, integration, factorization and so on, are processed as they are
in mathematical formulas (symbolic strings), or "artificial intelligence" in which knowledges and reasonings are modeled and
processed as symbolic strings, in a narrow sense. But in a wide sense, it includes any non-numerical processing like compiler,
OS and so on. In this course, we will treat it in a narrow sense. Although this subject is one of lecture courses, it will
be proceeded as lecture + exercise. In symbolic manipulation, the programming languages LISP and Prolog are often used. At
first, introduction and fundamental exercises of these languages (mainly LISP) will be given. Then, by doing exercises to
implement toy models of formula manipulations and expert systems using these languages, fundamental concepts of symbolic manipulations
will be studied.
To understand/study on symbolic processing, which is totally different from numerical processing, with learning the programming
languages LISP/Prolog.
- Understand fundamental concepts of symbolic manipulation and learn basics of the programming language LISP.
- Be able to construct some elementary on LISP under appropriate instructions.
- Understand fundamental technique to implemet formula manipulation systems.
| Basic Practices | Advanced Exercises | Total. | |
|---|---|---|---|
| 1. | 30% | 10% | 40% |
| 2. | 10% | 20% | 30% |
| 3. | 10% | 20% | 30% |
| Total. | 50% | 50% | - |
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Lecture and exercise on following subjects. Introduction to formula manipulation systems, and the installation of LISP system. |
Check the web or references for the symbolic manipulations. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 2. | Data structures in symbolic manipulations | Review the contents of "Data Structures and Algorithms." | 90minutes |
| Review (including the homework). | 100minutes | ||
| 3. | Fundamental of LISP (1) Atom, list, basic functions |
Check the web or references for the programming language LISP. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 4. | Fundamental of LISP (2) Variables, functional definitions |
Preparations for the lecture. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 5. | Fundamental of LISP (3) Evaluation, macro |
Preparations for the lecture. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 6. | LISP programming (1) Predicates, conditions |
Preparations for the lecture. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 7. | LISP programming (2) Iteration (cdr recursion, do functions, map functions) |
Preparations for the lecture. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 8. | LISP programming (3) Some list processing (general recursion) |
Preparations for the lecture. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 9. | LISP programming (4) Some additions (property list, destructive functions, etc.) |
Preparations for the lecture. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 10. | Formula manipulation (1) Internal representations of mathematical formulas |
Preparations for the lecture. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 11. | Formula manipulation (2) Input/output of mathematical formulas (syntax analysis, pretty-print) |
Preparations for the lecture. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 12. | Formula manipulation (3) Symbolic differentiation |
Preparations for the lecture. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 13. | Formula manipulation (4) Simplification of mathematical formulas |
Preparations for the lecture. | 90minutes |
| Review (including the homework). | 100minutes | ||
| 14. | Expert system and the logic programming language Prolog | Review the all of lectures. | 190minutes |
| Total. | - | - | 2660minutes |
The evaluation will be based on the reports submitted in response to the assignments.
The assignments are divided into several basic practices, which will be given in every class or every other class, and two or three advanced exercises, which will be given at the end (or beginning) of each section, and each of them will be given 50 points, totaling 100 points.
Submit each report in the specified format (file type and file name) on time. Perform the assigned tasks without fail (in the case of programming, you must have written a program that works correctly). When writing a discussion is in the tasks, write "discussion" instead of "impression". The report should be written with the reader in mind. You will get 100 points if you have done these things perfectly. You will be given a halfway point for each report, so if you achieve 60% of the above, you will pass.
Since the period after the winter break is short, the final assignment may be divided into two parts: one for the winter break and the other for the end of the term.
The assignments are divided into several basic practices, which will be given in every class or every other class, and two or three advanced exercises, which will be given at the end (or beginning) of each section, and each of them will be given 50 points, totaling 100 points.
Submit each report in the specified format (file type and file name) on time. Perform the assigned tasks without fail (in the case of programming, you must have written a program that works correctly). When writing a discussion is in the tasks, write "discussion" instead of "impression". The report should be written with the reader in mind. You will get 100 points if you have done these things perfectly. You will be given a halfway point for each report, so if you achieve 60% of the above, you will pass.
Since the period after the winter break is short, the final assignment may be divided into two parts: one for the winter break and the other for the end of the term.
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback in the class |
- Course that cultivates a basic problem-solving skills
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | N/A |
Last modified : Fri Feb 21 04:12:03 JST 2025