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15

LPAR
2010
Springer

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131views Automated Reasoning» more LPAR 2010»

Generating Counterexamples for Structural Inductions by Exploiting Nonstandard Models

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Generating Counterexamples for Structural Inductions by Exploiting Nonstandard Models

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Induction proofs often fail because the stated theorem is noninductive, in which case the user must strengthen the theorem or prove auxiliary properties before performing the induction step. (Counter)model ﬁnders are useful for detecting non-theorems, but they will not ﬁnd any counterexamples for noninductive theorems. We explain how to apply a well-known concept from ﬁrst-order logic, nonstandard models, to the detection of noninductive invariants. Our work was done in the context of the proof assistant Isabelle/HOL and the counterexample generator Nitpick.

Jasmin Christian Blanchette, Koen Claessen

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Automated Reasoning | Auxiliary Properties | Counterexample Generator Nitpick | Induction Step | LPAR 2010 |

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Added	29 Jan 2011
Updated	29 Jan 2011
Type	Journal
Year	2010
Where	LPAR
Authors	Jasmin Christian Blanchette, Koen Claessen

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