MPI-INF/SWS Research Reports 1991-2021

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Reflection in logical systems

Matthews, Seán

November 1992, 14 pages.

Status: available - back from printing

I develop some of the theory of self-referential systems. I present the necessary semantic ideas, and combine this with work in proof theory, on the necessary properties of a proof predicate, to develop practical theories for reasoning about such systems. I propose to use this to exploit the idea of a reflection principle as a systematic way to extend such self-referential theories safely. I also try to relate theoretical points to practical concerns.

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  AUTHOR = {Matthews, Se{\'a}n},
  TITLE = {Reflection in logical systems},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-92-250},
  MONTH = {November},
  YEAR = {1992},
  ISSN = {0946-011X},