Your English writing platform
Discover LudwigExact(4)
However, they also considered an alternative simpler definition according to which the progressed theory is always first-order definable.
They conjectured that this alternative definition is incorrect in the sense that the progressed theory is too weak and may sometimes lose information.
They also showed that this definition comes with a strong negative result, namely that for certain cases first-order logic is not expressive enough to correctly characterize the progressed theory and second-order axioms are necessary.
First, we prove the Lin and Reiter conjecture by presenting a case where the progressed theory indeed does lose information, thus closing a question that has remained open for more than ten years.
Similar(56)
As the analysis progresses, theory emerges both inductively and deductively [26].
Research on BDD variants has turned out to be one of the areas where the symbiosis between theoretical investigations in algorithm design and analysis, complexity theory, and applications has led to progress in theory and in applications.
The interplay between inductive and deductive procedures in IPA means that as the analysis progresses existing theory can be endorsed, modified, and/or challenged.
She cites a number of cases in which science has progressed from one theory to a better theory where, we would say, understanding has increased in the process even though the theories are, strictly speaking at least, false.
The theory of fuzzy spaces has much progressed as the theory of randomness has developed.
As time progressed, social contract theory was displaced by utilitarianism, Hegelianism and Marxism.
The technology has progressed quickly and the theory has lagged behind.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com