Structuring Metatheory on Inductive Definitions

We examine a problem for machine supported metatheory. There are true statements about a theory that are true of some (but only some) extensions; however, standard theory-structuring facilities do not support selective inheritance. We use the example of the deduction theorem for modal logic and show how a statement about a theory can explicitly formalize the closure conditions extensions should satisfy for it to remain true. We show how metatheories based on inductive definitions allow theories and general metatheorems to be organized this way and report on a case study using the theory FS0.

Authors

• David Basin
• Seán Matthews

Keywords

No keywords are indexed for this paper.