MPI-INF/SWS Research Reports 1991-2017

2. Number - only D2


A theory and its metatheory in FS 0

Matthews, Seán

June 1993, 22 pages.

Status: available - back from printing

Feferman has proposed FS0, a theory of finitary inductive systems, as a framework theory suitable for various purposes, including reasoning both in and about encoded theories. I look here at how practical FS0 really is. I formalise of a sequent calculus presentation of classical propositional logic in FS0 and show this can be used for work in both the theory and the metatheory. the latter is illustrated with a discussion of a proof of Gentzen's Hauptsatz.

  • MPI-I-93-227.pdfMPI-I-93-227.pdfMPI-I-93-227.dvi; Article: Database 'MPII AG2 Publications', View '1. Author/Editor \ 2. by Group', Document 'A Theory and its Metatheory in {$FS_0$}'
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  AUTHOR = {Matthews, Se{\'a}n},
  TITLE = {A theory and its metatheory in FS 0},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-93-227},
  MONTH = {June},
  YEAR = {1993},
  ISSN = {0946-011X},