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Skolem and Herbrand functions are important certificates validating the truth and falsity, respectively, of quantified Boolean formulas (QBFs). They are essential in various synthesis and verification applications. Recent advancement established a linear time extraction of Skolem/Herbrand functions from QBF consensus/resolution proofs. However, the obtained functions are often excessively large and...
Graphs are frequently represented and manipulated in the form of arrays encoding their adjacency matrices. Programs that operate on these arrays, for example, using linear algebra operations to encode graph algorithm primitives, can benefit from optimization techniques such as operation and loop fusion, data layout tuning, and other classical compilation methods. To support the construction of sound...
Computational scientists and engineers commonly rely on established software libraries to achieve high performance and reliability in their numerical applications. Unfortunately, this approach does not work well if the desired functionality is absent in existing libraries or if the integration is difficult. In such scenarios, one is often forced to explore alternative algorithms and in-house implementations...
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