Titlebook: Relational and Algebraic Methods in Computer Science; 19th International C Uli Fahrenberg,Mai Gehrke,Michael Winter Conference proceedings

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https://doi.org/10.1007/978-3-030-88701-8boolean algebra; category theory; computer systems; constraint satisfaction; databases; formal logic; fuzz

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The Class of Representable Semilattice-Ordered Monoids Is Not a Variety,We show a necessary and a sufficient condition for a quasivariety to be a variety. Using this, we show that the quasivariety of representable relation algebras over the signature . is not avariety.

Cryptic

0302-9743 021, which took place in Marseille, France, during November 2-5, 2021.?.The 29 papers presented in this book were carefully reviewed and selected from 35 submissions. They deal with the development and dissemination of relation algebras, Kleene algebras, and similar algebraic formalisms. Topics cove

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ADORE

Effect Algebras, Girard Quantales and Complementation in Separation Logic,ales, thus generalising separating conjunction and implication of separation logic to quantitative settings. We show that effect algebras lift to Girard convolution quantales, but not the standard partial abelian monoids used in separation logic. It follows that the standard assertion quantales of s

Hiatal-Hernia

Relational Computation of Sets of Relations,f an inclusion ., where . and . are relation-algebraic expressions constructed from a vector model of . 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 .

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TOXIN

-Multisemigroups, Modal Quantales and the Origin of Locality,nd codomain axioms of modal quantales. Our results yield new insights on the origin of locality in modal semirings and quantales. They also yield construction principles for modal powerset quantales that cover a wide range of models and applications.

GLARE

Abstract Strategies and Coherence,h relates standardisation to coherence results in the context of higher-dimensional rewriting systems. On the other hand, globular 2-Kleene algebras provide a formal setting for reasoning about coherence proofs in abstract rewriting systems. In this setting, we formalise the notion of normalisation