Proof Transformations from Search-oriented into Interaction-oriented Tableau Calculi.
Gernot Stenz, Wolfgang Ahrendt, Bernhard Beckert · Zenodo (CERN European Organization for Nuclear Research) · 1999
Abstract: Logic calculi, and Gentzen-type calculi in particular, can be categorised into two types: search-oriented and interaction-oriented calculi. Both these types have certain inherentcharacteristics stemming from the purpose for which they are designed. In this paper, we give a general characterisation of the two types and present two calculi that are typical representatives of their respective class. We introduce a method for transforming proofs in the search-oriented calculus into proofs in the interactionoriented calculus, and we demonstrate that the di culties arising with devising such a transformation do not pertain to the speci c calculi we have chosen as examples but are general. We also give examples for the application of our transformation procedure.