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By Gerard Salton

Automated textual content Processing: The Transformation research and Retrieval of data through computing device

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Additional info for Automatic Text Processing: The Transformation Analysis and Retrieval of Information by Computer

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Intuitively, this query graph expresses the query that returns a ternary predicate “not-desc-of(P 1,P 3,P 2)” with the descendants P 3 of person P 1 who are not descendants of person P 2. 50 2. Semantics Based on Bisimulation This short introduction to the language GraphLog will be used in Chapter 3 to show the main limits of the approach based on model-checking techniques for solving graphical queries on semistructured data. 3. Model-Checking Based Data Retrieval As we said in the previous chapters, semistructured data are often represented by using data models based on directed labeled graphs [13, 84, 18]; users can retrieve information of interest with graph-based queries [50, 33, 81] or with extended SQL languages [12, 4, 16].

L rr• LLLL R2 LL& • R1rrr r •xr T UP • ?? C • • • 1 2 3 • • • 5 T UP  •??? 18. An UnQL graph, called DB Some simple UnQL queries on the DB database of Fig. 18, which represents with a rooted labeled graph a relational database, are the following. 1) computes the union of all trees t such that DB contains an edge R1 ⇒ t emanating from the root. There is only one such edge in DB and therefore, this query simply returns the set of tuples in R1. The returned expression is: {T up ⇒ {A ⇒ 1, B ⇒ 2, C ⇒ 3}}.

2. Given two G-Log graphs G0 = N0 , E0 , N1 , E1 , 1 , and b ⊆ N0 × N1 we say that b 0 and G1 = b – b is a directional bisimulation, denoted by G0 ∼ G1 , if G0 ∼ G1 and b is a function from N0 to N1 . We say that G0 ∼G1 if there is a b such that b G0 ∼ G1 . b b – b is a bidirectional bisimulation, denoted by G0 ≡ G1 , if G0 ∼ G1 and b is a bijective function from N0 to N1 . We say that G0 ≡ G1 if there is a b b such that G0 ≡ G1 . Again in Fig. 4, we have that: – G1 ∼G0 , G2 ∼G0 , while the converse is not true.

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