Formalization, Mechanization and Automation of Gödel's Proof of God's Existence

C. Benzmüller, Bruno Woltzenlogel Paleo – 2013

Goedel's ontological proof has been analysed for the first-time with an unprecedent degree of detail and formality with the help of higher-order theorem provers. The following has been done (and in this order): A detailed natural deduction proof. A formalization of the axioms, definitions and theorems in the TPTP THF syntax. Automatic verification of the consistency of the axioms and definitions with Nitpick. Automatic demonstration of the theorems with the provers LEO-II and Satallax. A step-by-step formalization using the Coq proof assistant. A formalization using the Isabelle proof assistant, where the theorems (and some additional lemmata) have been automated with Sledgehammer and Metis.

Titel
Formalization, Mechanization and Automation of Gödel's Proof of God's Existence
Verfasser
C. Benzmüller, Bruno Woltzenlogel Paleo
Verlag
Cornell University Library
Schlagwörter
Logic in Computer Science, Artificial Intelligence, Logic
Datum
2013-08
Sprache
eng