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Deciding whether the ordering is necessary in a Presburger formula
Abstract : We characterize the relations which are first-order definable in the model of the group of integers with the constant 1. This allows us to show that given a relation defined by a first-order formula in this model enriched with the usual ordering, it is recursively decidable whether or not it is first-order definable without the ordering.
Keywords :
Presburger arithmetics
Cited literature [21 references]
https://hal.inria.fr/hal-00990437
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Tuesday, May 13, 2014 - 3:36:55 PM
Last modification on : Saturday, March 28, 2020 - 2:16:08 AM
Long-term archiving on: : Monday, April 10, 2017 - 10:10:22 PM
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Tuesday, May 13, 2014 - 3:36:55 PM
Last modification on : Saturday, March 28, 2020 - 2:16:08 AM
Long-term archiving on: : Monday, April 10, 2017 - 10:10:22 PM
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1300-4872-1-PB.pdf
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