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As Egyptians prepare to debate a new constitution and perhaps define notions of citizenship itself, Copts are engaged in a vigorous debate on the role the church should play as it selects a new pope.
We define notions of strong and weak forgettings in logic programs to capture such intuition, reveal their close connections to the notion of forgetting in classical propositional theories, and provide a precise semantic characterization for them.
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And after the multiculturalist thinking of the 1990's, traditionally defined notions of racial identity and ethnic group have been thrown into question.
The irony here is that notions of national identity are very close to multiculturalism in that both celebrate defined notions of group belonging as given sets of behaviours and attitudes receive a seal of cultural approval and others are rejected.
Let us give an example which will illustrate the role of the above defined notions.
Other independently defined notions of computability based on alternative foundations, such as recursive functions and abacus machines have been shown to be equivalent to Turing-computability.
With appropriate definitions of those notions, the theorems about them would be susceptible of being reformulated making use of the defined notions, and the uneasiness described by Tarski in the text just quoted would be alleviated.
Some people have really defined notions of what they're keen on seeing and this can make organizing the trip more interesting.
The real problem with this poorly defined notion is that, in practice, it serves powerful incumbents and the centrally positioned US government, diffusing talk of any genuinely representative global alternative for policy-making and oversight.
This yields a coalgebraically defined notion of observational indistinguishability, as well as an algebraically defined notion of reachability under computations.
And in terms of the defined notion of model Tarski proposes his defined notion of logical consequence.
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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