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well-founded ADJ

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Monolingual examples (not verified by PONS Editors)

English
It follows that there is no well-founded definition of quantities of energy transferred as heat or as work associated with transfer of matter.
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This inductive definition is in fact well-founded and can be expressed in the language of first-order set theory.
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If the set of all structures of a certain kind admits a well-founded partial order, then every nonempty subset must have a minimal element.
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This is one of several standard approaches to the meaning of negation in logic programming, along with program completion and the well-founded semantics.
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However, it has proved hard to find really clear, empirically well-founded examples to back up this hunch.
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However, some say that this reputation was not well-founded and that he was a criminal of ordinary mentality.
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Other statutes dealing with the discretionary grant of asylum referred to the well-founded-fear standard; the statutes dealing with withholding of deportation, by contrast, did not.
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Differences between varieties and there are well-founded reasons for referring to them as varieties, rather than breeds probably stem from local isolation.
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A well-founded relation is characterized by the existence of a minimal element of every non-empty subset of its domain.
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The appearance, however, of some of his pictures in good condition has shown that his fame as a brilliant colourist was well-founded.
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