Formalize formal logic (mathematical logic) in Lean Theorem Prover.
Our Book provides summaries of formalized concepts, theorems, propositions and brief explainations. (In progress)
Main results of this project. More results and details on Book.
- Completeness
- Cut-Elimination of First-Order Sequent Calculus (Gentzen's Hauptsatz)
- Note that this is an old result, not the latest.
- Gödel's First Incompleteness Theorem
- Gödel's Second Incompleteness Theorem
- Completeness of Kripke Semantics
- Filteration Methods
- Gödel-Mckinsey-Tarski Theorem and Modal Companion
Common Results of Mathematical Logic.
keyword: Propositional Logic, Classical First-Order Logic, Non-Classical Propositional Logic, Basic Modal Logic
Arithmetization of Mathematics/Metamathematics.
keyword:
Incompleness Theorem Related Results
keyword: Gödel's Incompleteness Theorem, Provability Logic
Summaries of results in this entire project. See Book.
This project is supported by Proxima Technology.
