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Publication - Professor Philip Welch

    Rethinking Revision


    Welch, PD, 2018, ‘Rethinking Revision’. Journal of Philosophical Logic., pp. 1-18


    We sketch a broadening of the Gupta-Belnap notion of a circular or revision theoretic definition into that of amore generalized formincorporating ideas of Kleene’s generalized or higher type recursion.

    This thereby connects the philosophically motivated, and derived, notion of a circular definition with an older form of definition by recursion using functionals, that is functions of functions, as oracles. We note that Gupta and Belnap’s notion of ‘categorical in L’ can be formulated in at least one of these schemes.

    Full details in the University publications repository