System T
Encyclopedia
In mathematics
, System T can refer to:
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, System T can refer to:
- A theory of arithmetic in all finite types use in Gödel's Dialectica interpretationDialectica interpretationIn proof theory, the Dialectica interpretation is a proof interpretation of intuitionistic arithmetic into a finite type extension of primitive recursive arithmetic, the so-called System T. It was developed by Kurt Gödel to provide a consistency proof of arithmetic...
- An axiom system of modal logicModal logicModal logic is a type of formal logic that extends classical propositional and predicate logic to include operators expressing modality. Modals — words that express modalities — qualify a statement. For example, the statement "John is happy" might be qualified by saying that John is...