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- W3211307782 abstract "We present a technique for the relational computation of sets (mathcal {R}) of relations. It is based on a specification of a relation R to belong to (mathcal {R}) by means of an inclusion (mathfrak {s},subseteq ,mathfrak {t}), where (mathfrak {s}) and (mathfrak {t}) are relation-algebraic expressions constructed from a vector model of R in a specific way. To get the inclusion, we apply properties of a mapping that transforms relations into their vectors models and, if necessary, point-wise reasoning. The desired computation of (mathcal {R}) via a relation-algebraic expression (mathfrak {r}) is then immediately obtained from (mathfrak {s},subseteq ,mathfrak {t}) using a result of []. Compared with a direct development of (mathfrak {r}) from a logical specification of R to belong to (mathcal {R}), the proposed technique is much more simple. We demonstrate its use by some classes of specific relations and also show some applications." @default.
- W3211307782 created "2021-11-08" @default.
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- W3211307782 date "2021-01-01" @default.
- W3211307782 modified "2023-10-14" @default.
- W3211307782 title "Relational Computation of Sets of Relations" @default.
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- W3211307782 doi "https://doi.org/10.1007/978-3-030-88701-8_4" @default.
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