The formalization of Interpretability
Copyright policy )The formalization of Interpretability
The author discusses interpretability in weak theories without \(\Sigma_ 1\)-collection principle for details and gives a careful derivation of principles of Interpretability Logic valid in any extension of I\(\Delta_ 0+\Omega_ 1\). The case containing the \(\Sigma_ 1\)- collection principle is also discussed in relation with cut and with the conservation problem. This paper provides an extensive introduction to the formalization of interpretability, and the comprehensive references are useful.
- Utrecht University Netherlands
First-order arithmetic and fragments, Interpretability Logic, interpretability in weak theories, conservation, Gödel numberings and issues of incompleteness, Henkin construction, Wijsbegeerte, probability logic, interpretability, Modal logic (including the logic of norms), Relative consistency and interpretations, fragments of arithmetic, modal logic
First-order arithmetic and fragments, Interpretability Logic, interpretability in weak theories, conservation, Gödel numberings and issues of incompleteness, Henkin construction, Wijsbegeerte, probability logic, interpretability, Modal logic (including the logic of norms), Relative consistency and interpretations, fragments of arithmetic, modal logic
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