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Published in:
2012 | OriginalPaper | Chapter
Algorithmic Applications
Authors : Jaroslav Nešetřil, Patrice Ossona de Mendez
Published in: Sparsity
Publisher: Springer Berlin Heidelberg
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As a particular interpretation, this problem contains the
decision problem for first-order logic
(that is, the problem of algorithmically deciding whether a first-order formula is universally valid). A negative answer to the Entscheidungsproblem was given by Church and Turing, who proved that it is impossible to decide algorithmically whether statements in arithmetic are true or false.