15-317 / 15-657 Constructive Logic

Spring 2022
Instructor: Klaas Pruiksma
Teaching Assistants: Runming Li, Onyekachi Onyeador, Viraj Puri, Xiao Yu
Tuesday, Thursday 08:35-09:55
POS A35
9 units

This undergraduate course provides an introduction to constructive logics, such as intuitionistic and linear logic, with an emphasis on their application in computer science. This includes basic means for defining logics (for example, natural deduction and sequent calculus), establishing properties of logics (for example, cut elimination), and for investigating their computational interpretations (for example, via proof reduction or proof search).

Prerequisites: 15-317 is an introductory undergraduate course with a minimum grade of C in 15-150 as prerequisite. For the cross-listed graduate version, 15-657, some experience with functional program is recommended.


Class Material

Schedule Lecture notes and additional readings
Assignments Homeworks assignments and due dates
Software Links to software and other resources

Course Information

Lectures Tue Thu 08:35-09:55, POS A35 (Also available online, at this Zoom link)
Recitations Section A, 09:05-09:55, PH A18C, Runming Li
  Section B, 10:10-11:00, DH 1211, Onyekachi Onyeador
  Section C, 11:15-12:05, DH 2105, Viraj Puri
Office Hours Tuesday 16:00-18:00 (Gates 5th Floor Commons, Table 1)
  Wednesday 17:00-19:00 (Gates 5th Floor Commons, Table 4)
  Thursday 17:00-19:00 (Zoom link, passcode 934389)
  Sunday 16:00-18:00 (Zoom link)
Course Communication http://piazza.com/cmu/spring2022/15317
Notes There is no textbook, but lecture notes will be posted
Credit 9 units
Grading 40% Homework, 30% Midterms, 30% Final
Grade Cutoffs A: ≥ 90%, B: ≥ 80%; C: ≥ 70%; D: ≥ 60%
Grade ranges may be lowered slightly based on difficulty of homeworks and exams
Homework Homework is assigned weekly and handed in via Gradescope.
You have 5 late to use throughout the semester,
with at most 2 late days on any given assignment.
Midterm I Tue Feb 22, in class.
One sheet of notes allowed.
Midterm II Tue Apr 5, in class.
One sheet of notes allowed.
Final Location and time TBD
One sheet of notes allowed.

Learning objectives: After taking this course, students will be able to

  • understand the distinction between classical and constructive logic.
  • define logical connectives and test these definitions for harmony.
  • express and prove the relationships between different presentations of a logic (e.g. natural deduction and sequent calculus) and explain why one presentation might be preferred over another.
  • develop sound and complete theorem provers based on deductive presentations of logics
  • derive operational interpretations of logics via proof reduction and use them to write correct programs
  • derive operational interpretations of logics via proof search and use them to write correct programs
  • understand the applications of substructural and modal logics.

Accommodations for Students with Disabilities

If you have a disability and have an accommodations letter from the Disability Resources office, I encourage you to discuss your accommodations and needs with me as early in the semester as possible. I will work with you to ensure that accommodations are provided as appropriate. If you suspect that you may have a disability and would benefit from accommodations but are not yet registered with the Office of Disability Resources, I encourage you to contact them at access@andrew.cmu.edu.

Support for Students' Health and Well-Being

All of us benefit from support during times of struggle. There are many helpful resources available on campus and an important part of the college experience is learning how to ask for help. Asking for support sooner rather than later is almost always helpful. If you or anyone you know experiences any academic stress, difficult life events, or feelings like anxiety or depression, we strongly encourage you to seek support. Counseling and Psychological Services (CaPS) is here to help: call 412-268-2922 and visit their website at http://www.cmu.edu/counseling/. Consider reaching out to a friend, faculty or family member you trust for help getting connected to the support that can help.

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