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If we cannot solve all instances of a problem, we must settle for solving "almost all" instances of a problem.
This is the phenomenon whereby typical instances of a problem display a dramatic shift in certain characteristics as some parameter of the instances is varied.
In this paper, we assume that agents individually face abductive or inductive tasks in a globally coherent environment, and we show that general mechanisms can be designed that abstractly regard both cases as special instances of a problem of hypothesis refinement through propagation.
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The new park expense is just one instance of a problem facing nearly every human-services provider: the city is demanding more and more money to use its facilities and services, while operating budgets, from government and private grants, keep shrinking.
Herein, instances I of a problem come along with a parameter k, for example the size of a solution.
Random processes should not count as computations: unlike computations properly so called, random processes cannot be used to generate the desired values of a function or solve the desired instances of a general problem.
This paves the way for building bioinformatics applications where the information extracted from previous searches is reused to solve different instances of a similar problem.
An algorithm based on dynamic programming solves an instance of such a problem by recursively breaking it into subproblems, whose optimal values are then computed and stored in a manner which can then be efficiently reassembled to achieve an optimal solution.
In particular, we first show that any instance of the TBR-RS problem can be decomposed into an instance of an SPR-RS problem, and an instance of a Rooting problem (defined in the next section).
To avoid displaying repeated instances of a previously recognized problem, a patient's problems that are already stored in the CDR are analyzed.
The reduction-based techniques aim at transforming the argumentation problem at hand into an instance of a different problem (SAT, ASP, etc)., thereby delegating the burden of computation to existing systems.
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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