Colin James
Abstract
The completeness theorem rendered as (∀x.R(x,x))→(∀x∃y.R(x,y)) is not tautologous. The application of Isabelle/HOL to prove the same also is not tautologous, to invalidate that tool. These demonstrations form a non tautologous fragment of the universal logic VŁ4.
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The completeness theorem rendered as (∀x.R(x,x))→(∀x∃y.R(x,y)) is not tautologous. The application of Isabelle/HOL to prove the same also is not tautologous, to invalidate that tool. These demonstrations form a non tautologous fragment of the universal logic VŁ4.
Key concepts: Completeness (order theory), HOL, Gödel's completeness theorem, Fragment (logic), Mathematics, Discrete mathematics, Gödel, Calculus (dental)