Universal relation for operator complexity

The Communication Complexity of the Universal Relation

Consider the following communication problem. Alice gets a word x 2 f0; 1gn and Bob gets a word y 2 f0; 1gn. Alice and Bob are told that x 6= y. Their goal is to find an index 1 i n such that xi 6= yi (the index i should be known to both of them). This problem is one of the most basic communication problems. It arises naturally from the correspondence between circuit depth and communication com...

The Universal Net Composition Operator

Petri nets are frequently composed of given nets. Literature suggests a lot of different composition operators, for different purposes and different classes of Petri nets. Formal definitions are frequently surprisingly technical, not matching the intuitively very elegant composition of Petri nets in the framework of their graphical representation. This paper suggests the universal net compositi...

Implementing a Universal Relation Frontend for SQL

For querying a universal relation system the user only has to specify the output attributes he is interested in and the conditions for these attributes; the universal relation system computes the relevant part of the database scheme with respect to the query, the query hypergraph, and subsequently relations and join conditions corresponding to the query hypergraph. We introduce a universal rela...

Latent Relation Representations for Universal Schemas

Supervised relation extraction uses a pre-defined schema of relation types (such as born-in or employed-by). This approach requires labeling textual relations, a time-consuming and difficult process. This has led to significant interest in distantly-supervised learning. Here one aligns existing database records with the sentences in which these records have been “rendered”, and from this labeli...

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