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The propositional satisfiability problem (SAT) was the first to be shown NP-complete by Cook and Levin. SAT remained the embodiment of theoretical worst-case hardness. However, in stark contrast to ...

Sentence-based mathematics problem-solving skills are essential as the skills can improve the ability to deal with various mathematical problems in daily life, increase the imagination, develop ...

Intuitionistic logic, i.e. logic without the principle of excluded middle (P ∨ ¬ P P \vee \neg P), is important for many reasons. One is that it arises naturally as the internal logic of toposes and ...

Generating associations is important for cognitive tasks including language acquisition and creative problem solving. It remains an open question how the brain represents and processes associations.

The aim of science is to establish facts, as accurately as possible. It is therefore crucially important to determine whether an observed phenomenon is real, or whether it’s the result of pure chance.

Graph sparsification is the approximation of an arbitrary graph by a sparse graph. We explain what it means for one graph to be a spectral approximation of another and review the development of ...

Presented February 8-9, 1999, at the Woodrow Wilson Center for the Comparative Urban Studies Project's Research Working Group on Urbanization, Population, the Environment, and Security funded by the U ...