Mathematical Logic (Spring 2024)
General Information
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