Mathematical Logic (Spring 2024)

General Information

  • Instructor: Qiang Yin
  • Time: 12:55 - 15:40, Friday
  • Location: 东中院 4-201
  • TAs: 耿雨桐李兴阳
  • Office hour: 18:00 – 20:00, every Friday, 东中院 4-201

Lecture Notes

  • [23/02] Introduction & Syntax of FO [PDF]
  • [01/03] Semantics of FO (I) [PDF]
  • [08/03] Semantics of FO (II) [PDF]
  • [15/03] Semantics of FO (III) [PDF]
  • [22/03] Sequent Calculus (I) [PDF]
  • [29/03] Sequent Calculus (II) [PDF]
  • [07/04] Completeness (I) [PDF]
  • [11/04] Completeness (II) [PDF]
  • [19/04] Completeness (III) [PDF]
  • [26/04] The LS Theorem and Compactness [PDF]
  • [28/04] Decidability and Enumerability [PDF]
  • [10/05] The Undecidability of First-order Logic [PDF]
  • [17/05] The Undecidability of Arithmetic [PDF]
  • [23/05] Gödel’s Incompleteness Theorems [PDF]

Textbook

Mathematical Logic, H. -D. Ebbinghuas, J. Flum, and W. Thomas, Springer, Second Edition, 2008.

Further Reading

On the Unusual Effectiveness of Logic in Computer Science. Joseph Y. Halpern, Robert Harper, Neil Immerman, Phokion Kolaitis, Moshe Y. Vardi, and Victor Vianu. Bulletin of Symbolic Logic. 2001.

Zorn’s Lemma and Transfinite Induction


Last updated: May 13, 2024