Embedding display calculi into logical frameworks : Comparing twelf and Isabelle
| Abstract | We compare several methods of implementing the display (sequent) calculus RA for relation algebra in the logical frameworks Isabelle and Twelf. We aim for an implementation enabling us to formalise within the logical framework proof-theoretic results such as the cut-elimination theorem for RA and any associated increase in proof length. We discuss issues arising from this requirement. | |||||||||
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Heinrich Wansing (1999). Displaying the Modal Logic of Consistency. Journal of Symbolic Logic 64 (4):1573-1590.
Stéphane Demri & Rajeev Goré (2000). Display Calculi for Logics with Relative Accessibility Relations. Journal of Logic, Language and Information 9 (2):213-236.
Arnon Avron, Furio Honsell, Marino Miculan & Cristian Paravano (1998). Encoding Modal Logics in Logical Frameworks. Studia Logica 60 (1):161-208.
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