How to Analyze Graph-Based Models - Www-st.inf.tu-dresden.de ...

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Searching is Easy With Datalog # A SMPP problem (single source, multiple target) descendant(Adam,X)? X={ Silvia, Carl-Gustav, Vic<strong>to</strong>ria, ....} # An MSPP problem (multiple source, single target) ascendant(Silvia,X)? X={Walter, Adam} # An MMPP problem (multiple source, multiple target) ascendant(X,Y)? {X=Walter, Y={Adam} X=Vic<strong>to</strong>ria, Y={CarlGustav, Silvia, Sibylla, ...} ...} Y = Adam, Walter, ... # Vic<strong>to</strong>ria, Madeleine, CarlPhilip not in the set Prof. Uwe Aßmann, Softwaretechnologie II 52
Description Logic (DL) ► Is a special form of typed Datalog (typed EARS) ■ But only with binary relations ■ Classes and objects, instead of untyped Datalog constants ■ Relationship types and relations ► All knowledge is specified with triples, simple sentences of Verb- Predicate-Object: Adam instanceOf Person. Sibylla instanceOf Person. GustavAdolf instanceOf Person. King isA Person. Princess isA Person. ... Adam parentOf GustavAdolf. Adam parentOf Sibylla. ... Adam: Person GustavAdolf: Person Sibylla: Person Walter: Person Alice: Person Desiree: Person Carl Gustav: King Madeleine: Princess Silvia: Person Ralf: Prof. Uwe Aßmann, Softwaretechnologie Person II Vic<strong>to</strong>ria: Princess 53
Page 1 and 2: How to</st
Page 3 and 4: Obligatory Reading
Page 5 and 6: Goals ► Understand that software
Page 7 and 8: The Problem: How <
Page 9 and 10: Partially Collapsed Prof. Uwe Aßma
Page 11 and 12: Requirements for Modelling in Requi
Page 13 and 14: Example: Rename Refacto</st
Page 15 and 16: Refactoring on Def
Page 17 and 18: Data-Flow Graphs
Page 19 and 20: Precise Call Graph
Page 21 and 22: Types of Graphs in
Page 23 and 24: Definitions ► Fan-in ■ In-degre
Page 25 and 26: Trees ► One source (root) ► Man
Page 27 and 28: Directed Graphs (D
Page 29 and 30: Reducible Graphs (
Page 31 and 32: Strength of Assertions in M
Page 33 and 34: Structuring Improves Worst Case Lis
Page 35 and 36: Methods and Tools for Analysis of <
Page 37 and 38: Graphs and Fact Da
Page 39 and 40: Queries on Graphs
Page 41 and 42: Layering of Systems ► To be compr
Page 43 and 44: Pattern and Rules ► Parenthood ca
Page 45 and 46: Same Generation ► Beyond sisters
Page 47 and 48: Same Generation Introduces Layers
Page 49 and 50: Searching Graphs -
Page 51: Same Generation Datalog Program isP
Page 55 and 56: Application Areas of Datalog, DL, O
Page 57 and 58: Answer Alternative category text Ex
Page 59 and 60: Example: Web Queries with Logic ►
Page 61 and 62: Who is Descendant of Whom? ► Some
Page 63 and 64: Impact of Basic Rule GustavAdolf Ad
Page 65 and 66: [S|M][S|M]PP Path Problems: Variant
Page 67 and 68: Exercise: Railway Routes ► Base (
Page 69 and 70: Central Theorem of Datalog/DL/EARS
Page 71 and 72: Applications of Graph</stro
Page 73 and 74: Generic Datalog Queries ► Transit
Page 75 and 76: Example 1: Consistency Checking for
Page 77 and 78: Second Idea ► Analyze</st
Page 79 and 80: Example 2: Consistency Checking of
Page 81 and 82: Second Idea ► Write queries that
Page 83 and 84: Example 3: UML Specifications in So
Page 85 and 86: Answer Alternative category text Ex
Page 87 and 88: Third Idea: Use Onto</stron
Page 89: The End Softwaretechnologie II, ©

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