English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
 
 
DownloadE-Mail
  Logic with Equality: Partisan Corroboration and Shifted Pairing

Gurevich, Y., & Veanes, M. (1999). Logic with Equality: Partisan Corroboration and Shifted Pairing. Information and Computation, 152(2), 205-235.

Item is

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Gurevich, Yuri, Author
Veanes, Margus1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

Content

show
hide
Free keywords: -
 Abstract: Herbrand's theorem plays a fundamental role in automated theorem proving methods based on tableaux. The crucial step in procedures based on such methods can be described as the \emph{corroboration} problem or the \emph{Herbrand skeleton} problem, where, given a positive integer $m$, called \emph{multiplicity}, and a quantifier free formula, one seeks a valid disjunction of $m$ instantiations of that formula. In the presence of \emph{equality}, which is the case in this paper, this problem was recently shown to be undecidable. The main contributions of this paper are two theorems. The first, the \emph{Partisan Corroboration Theorem}, relates corroboration problems with different multiplicities. The second, the \emph{Shifted Pairing Theorem}, is a finite tree automata formalization of a technique for proving undecidability results through direct encodings of valid Turing machine computations. These theorems are used in the paper to explain and sharpen several recent undecidability results related to the \emph{corroboration} problem, the \emph{simultaneous rigid E-unification} problem and the \emph{prenex fragment of intuitionistic logic with equality}.

Details

show
hide
Language(s): eng - English
 Dates: 2010-03-121999
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 519740
Other: Local-ID: C1256104005ECAFC-BF6765C77376770AC125675B0065156D-GurevichVeanes99
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Information and Computation
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 152 (2) Sequence Number: - Start / End Page: 205 - 235 Identifier: -