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Indeed, we show that tractable version space reasoning is possible if and only if there is an efficient algorithm for the consistency problem.
Our observations give rise to new concept classes for which tractable version space reasoning is now possible, e.g., 1-decision lists, monotone depth two formulas, and halfspaces.
This paper argues that previous work on alternative representations of version spaces has disguised the real question underlying version space reasoning.
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In this light, we explore SADS system design based on ASM modeling techniques paired with CoreASM tool support to facilitate analysis of the problem space and reasoning about design decisions and conformance criteria so as to ensure they are properly established and well understood prior to building the system.
In 2007, after Washington Mutual shut down operations in an eight-story building here, the city bought the space for $35 million, reasoning that the price was a bargain, less than the cost of construction.
We report our experience with exploring a new point in the design space for formal reasoning systems: the development of the programming language Ωmega.
One vivid and naturalistic source of evidence for the use of space in abstract reasoning comes from the gestures people produce (Cienki, 1998; McNeill, 1992; Núñez, 2008).
Spatial thinking is a more generalized construct that "…is broader than spatial ability and related concepts in that it approaches the process of problem solving via the coordinated use of space, representation, and reasoning" (National Research Council, 2006, p. 27).
In the approach, a graph representation is developed for describing multiple relationships among various views in the 2D drawing space, and a reasoning technique based on evidence theory is implemented to validate view relations that are used to fold views and sections in the 3D object space.
Male subjects in this study perform better in BCT, mechanical reasoning, space relations, and abstract reasoning subtests, whereas female subjects perform better in verbal comprehension and grammar and language usage subtests.
The fuzzy inference component contains a rule base that holds fuzzy rules: a database that defines the MFs used in the fuzzy rules, normalizes the input and output universes of discourse, and performs the fuzzy partitioning of the input and the output spaces; and a reasoning mechanism that performs the inference process upon the rules and given condition to derive a reasonable output.
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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