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Currently displaying 1 – 2 of 2

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A graphical representation of relational formulae with complementation

Domenico Cantone; Andrea Formisano; Marianna Nicolosi Asmundo; Eugenio Giovanni Omodeo — 2012

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We study translations of dyadic first-order sentences into equalities between relational expressions. The proposed translation techniques (which work also in the converse direction) exploit a graphical representation of formulae in a hybrid of the two formalisms. A major enhancement relative to previous work is that we can cope with the relational complement construct and with the negation connective. Complementation is handled by adopting a Smullyan-like uniform notation to classify and decompose...

A graphical representation of relational formulae with complementation

Domenico Cantone; Andrea Formisano; Marianna Nicolosi Asmundo; Eugenio Giovanni Omodeo — 2012

RAIRO - Theoretical Informatics and Applications

We study translations of dyadic first-order sentences into equalities between relational expressions. The proposed translation techniques (which work also in the converse direction) exploit a graphical representation of formulae in a hybrid of the two formalisms. A major enhancement relative to previous work is that we can cope with the relational complement construct and with the negation connective. Complementation is handled by adopting a Smullyan-like...

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