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MPI-INF/SWS Research Reports 1991-2017

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MPI-I-93-235

A conservative extension of first-order logic and its application to theorem proving

Basin, David A. and Matthews, Seán

August 1993, 11 pages.

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Status: available - back from printing

We define a weak second--order extension of first--order logic. We prove a second--order cut elimination theorem for this logic and use this to prove a conservativity and a realisability result. We give applications to formal program development and theorem proving, in particular, in modeling techniques in formal metatheory.

URL to this document: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1993-235

Hide details for BibTeXBibTeX
@TECHREPORT{BasinMatthews93,
  AUTHOR = {Basin, David A. and Matthews, Se{\'a}n},
  TITLE = {A conservative extension of first-order logic and its application to theorem proving},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-93-235},
  MONTH = {August},
  YEAR = {1993},
  ISSN = {0946-011X},
}