Exploring the limits of what computers can do

Course Goals

By the end of this course, you will have developed the following knowledge and skills:
  • You will know how to analyze the powers and limits of various models of computation.
  • You will learn and understand several standard proof techniques, including induction, contradiction, and diagonalization.
  • You will be able to identify problems that are computationally intractable and argue why these problems might be hard to solve efficiently.
Above all, the goal of this course is to instill a deep understanding of the limits of computation, and how to think about these in a thorough and systemic way.

Student Responsibilities

CS46 is different from most other computer science courses, in that the course focuses on abstract thinking about problems, and does not ask you to implement solutions in code. To succeed in this course, you should consistently do the following:

  • Attend class and lab sessions.
    The primary introduction to course material is through class instruction. Attending class is essential for understanding the subject. Lab sessions provide additional time to work on solutions. Lab attendance is mandatory.
  • Participate actively in the learning process.
    The best way to learn this material is through constant effort. This means trying to work out proofs yourself rather than simply reading through solutions. During class we will often derive solutions collaboratively. Labs provide additional time to experiment with solutions. There is a very strong correlation between students who ask questions (in class/lab/office hours/Slack) and students who do well in this class.
  • Start the homework assignments early.
    CS46 is not a coding course; it is a course with an emphasis on rigorous thought and explanation. It is extremely difficult to bang out proofs and solutions at the last minute. I understand that it is not always possible to put serious time into an assignment early. However, even 30-60 minutes will be helpful, to ensure that you understand what the problems ask of you and you start thinking about how to solve them early.
  • Seek help early.
    It is essential in this class that you not fall behind. If you find yourself falling behind, or if you're having trouble grasping a concept, come to office hours. Ask (and answer!) questions on Slack. Set up an appointment to talk with me. Or just stop by my office when my door is open.

Academic Integrity

Academic honesty is required in all your work. Under no circumstances may you hand in work done with or by someone else under your own name. Discussing ideas and approaches to problems with others on a general level is encouraged, but you should never share your solutions with anyone else nor allow others to share solutions with you. You may not examine solutions belonging to someone else, nor may you let anyone else look at or make a copy of your solutions. This includes, but is not limited to, obtaining solutions from students who previously took the course or solutions that can be found online. You may not share information about your solution in such a manner that a student could reconstruct your solution in a meaningful way (such as by dictation, providing a detailed outline, or discussing specific aspects of the solution). You may not share your solutions even after the due date of the assignment.

In your solutions, you are permitted to include material which was distributed in class, material which is found in the course textbook, and material developed by or with an assigned partner. In these cases, you should always include detailed comments indicating on which parts of the assignment you received help and what your sources were.

When working on tests, exams, or similar assessments, you are not permitted to communicate with anyone about the exam during the entire examination period (even if you have already submitted your work). You are not permitted to use any resources to complete the exam other than those explicitly permitted by course policy. (For instance, you may not look at the course website during the exam unless explicitly permitted by the instructor when the exam is distributed.)

Failure to abide by these rules constitutes academic dishonesty and will lead to a hearing of the College Judiciary Committee. According to the Faculty Handbook:
Because plagiarism is considered to be so serious a transgression, it is the opinion of the faculty that for the first offense, failure in the course and, as appropriate, suspension for a semester or deprivation of the degree in that year is suitable; for a second offense, the penalty should normally be expulsion.
This policy applies to all course work, including but not limited to code, written solutions (e.g. proofs, analyses, reports, etc.), exams, and so on. This is not meant to be an enumeration of all possible violations; students are responsible for seeking clarification if there is any doubt about the level of permissible communication.

The general ethos of this policy is that actions which shortcut the learning process are forbidden while actions which promote learning are encouraged. Studying lecture materials together, for example, provides an additional avenue for learning and is encouraged. Using a classmate's solution, however, is prohibited because it avoids the learning process entirely. If you have any questions about what is or is not permissible, please contact your instructor.

Regret clause for Spring 2021: If you commit some act that is a violation of the integrity policy (or, if you are unsure if it violates the policy) but bring it to the attention of the course’s instructor within 48 hours, the course may impose local sanctions that may include an unsatisfactory or failing grade for work submitted, but the course will not refer the matter for further disciplinary action except in cases of repeated acts.