80-310/610

Fall 2018 |

Steve Awodey |

TR 12 - 1:20 |

Baker Hall A53 |

9-12 units |

An introduction to formal logic, with applications to computer science. Topics include inductively defined structures, the syntax and semantics of first-order logic, completeness, compactness, and the Loewenheim-Skolem theorems. Further topics may also include definability, nonstandard models of arithmetic, higher-order, intuitionistic, and modal logic.

Prerequisites: either 80-210, 80-211, 21-127, 15-251, or consent of the instructor.

- (Aug 28) Class begins! Watch this space for future updates.
- (Aug. 28) Here is a handout on set theory.
- (Aug. 30) Homework 1 is available here. It is due in class on September 6.
- (Aug. 30) Here is a handout on induction and recursion.
- (Sept. 6) The first recitation will be next week Tuesday in Baker Hall 150 at 6pm.
- (Sept. 6) Homework 2 is available. It is due in class on September 13.
- (Sept. 13) Homework 3 is available. It is due in class on September 20.
- (Sept. 20) Homework 4 is available. It is due in class on Thursday, Sept. 27.
- (Sept. 27) Homework 5 is available. It is due in class on October 4.
- (Oct. 3) Here is a handout on equivalence relations.
- (Oct. 4) There is no homework for this week. Instead, there is a practice midterm. It will not be scored.
- (Oct. 11) Midterm exam in class!
- (Oct. 15) There is no homework due this week. Homework 6 will be posted this week and will be due on October 25.
- (Oct. 17) Homework 6 is available. It is due in class on October 25.
- (Oct. 27) Homework 7 is available. It is due in class November 1.
- (Nov. 1) Homework 8 is available. It is due in class on November 8.
- (Nov. 8) Homework 9 is available. It is due in class on November 15.
- (Nov. 15) No homework this week (Happy Thanksgiving!).
- (Nov. 15) Homework 10 is available. It is due in class on November 29.

Lectures | TR 12-1:20, BH A53 |
---|---|

Recitations | Tuesdays at 6pm in Baker Hall 150 |

Textbook | Logic and Structure, Dirk van Dalen, Springer 2013.
Available on-campus from this link. |

Credit | 9-12 units |

Grading | 50% Homework, 25% Midterm, 25% Final |

Homework | Weekly homework is posted here on Thursdays and due the following Thursday in class.
Homework should be turned in in-person, and will not be accepted by email. Late homework will be accepted only under exceptional circumstances. |

Midterm |
Thursday, Oct 11, in class. Closed book, one two-sided sheet of notes permitted. |

Final |
Thursday, December 6, in class. Closed book, one two-sided sheet of notes permitted. |

Topics | Inductive definitions and proofs,
Syntax and semantics of propositional logic, Syntax and semantics of first-order logic, Elementary model theory, Higher-order, intuitionistic, and modal logic. |

Homepage | http://www.andrew.cmu.edu/course/80-310-610/ |

Online Discussion | piazza.com/cmu/fall2018/80310/home |

Office | Office Hours | Phone | |||
---|---|---|---|---|---|

Professor | Steve Awodey | BH 135F | F 11-12 | x8-8947 | awodey@cmu.edu |

TA | Matthew Bowen | DH 4301 | T 3:30-4:30 | xxx | mbowen1@andrew.cmu.edu |

TA | Zesen Qian | DH 4301C | M 3-4 | xxx | zesen.qian@gmail.com |

TA | Andrew Warren | DH 4301D | F 3-4 | xxx | awarren1@andrew.cmu.edu |

Admin. Asst. | Mary Grace Joseph | BH 161H | x8-9459 | mjoseph@andrew.cmu.edu |