How Long to Read Metric Temporal Graph Logic over Typed Attributed Graphs

How Long Does it Take to Read Metric Temporal Graph Logic over Typed Attributed Graphs?

It takes the average reader and 36 minutes to read Metric Temporal Graph Logic over Typed Attributed Graphs by Holger Giese

Assuming a reading speed of 250 words per minute. Learn more

Description

Various kinds of typed attributed graphs are used to represent states of systems from a broad range of domains. For dynamic systems, established formalisms such as graph transformations provide a formal model for defining state sequences. We consider the extended case where time elapses between states and introduce a logic to reason about these sequences. With this logic we express properties on the structure and attributes of states as well as on the temporal occurrence of states that are related by their inner structure, which no formal logic over graphs accomplishes concisely so far. Firstly, we introduce graphs with history by equipping every graph element with the timestamp of its creation and, if applicable, its deletion. Secondly, we define a logic on graphs by integrating the temporal operator until into the well-established logic of nested graph conditions. Thirdly, we prove that our logic is equally expressive to nested graph conditions by providing a suitable reduction. Finally, the implementation of this reduction allows for the tool-based analysis of metric temporal properties for state sequences. Verschiedene Arten von getypten attributierten Graphen werden benutzt, um Zustände von Systemen in vielen unterschiedlichen Anwendungsbereichen zu beschreiben. Der etablierte Formalismus der Graphtransformationen bietet ein formales Model, um Zustandssequenzen für dynamische Systeme zu definieren. Wir betrachten den erweiterten Fall von solchen Sequenzen, in dem Zeit zwischen zwei verschiedenen Systemzuständen vergeht, und führen eine Logik ein, um solche Sequenzen zu beschreiben. Mit dieser Logik drücken wir zum einen Eigenschaften über die Struktur und die Attribute von Zuständen aus und beschreiben zum anderen temporale Vorkommen von Zuständen, die durch ihre innere Struktur verbunden sind. Solche Eigenschaften können bisher von keiner der existierenden Logiken auf Graphen vergleichbar darstellt werden. Erstens führen wir Graphen mit Änderungshistorie ein, indem wir jedes Graphelement mit einem Zeitstempel seiner Erzeugung und, wenn nötig, seiner Löschung versehen. Zweitens definieren wir eine Logik auf Graphen, indem wir den Temporaloperator Until in die wohl-etablierte Logik der verschachtelten Graphbedingungen integrieren. Drittens beweisen wir, dass unsere Logik gleich ausdrucksmächtig ist, wie die Logik der verschachtelten Graphbedingungen, indem wir eine passende Reduktionsoperation definieren. Zuletzt erlaubt uns die Implementierung dieser Reduktionsoperation die werkzeukbasierte Analyse von metrisch-temporallogischen Eigenschaften für Zustandssequenzen zu führen.

How long is Metric Temporal Graph Logic over Typed Attributed Graphs?

Metric Temporal Graph Logic over Typed Attributed Graphs by Holger Giese is 36 pages long, and a total of 9,216 words.

This makes it 12% the length of the average book. It also has 11% more words than the average book.

How Long Does it Take to Read Metric Temporal Graph Logic over Typed Attributed Graphs Aloud?

The average oral reading speed is 183 words per minute. This means it takes and 50 minutes to read Metric Temporal Graph Logic over Typed Attributed Graphs aloud.

What Reading Level is Metric Temporal Graph Logic over Typed Attributed Graphs?

Metric Temporal Graph Logic over Typed Attributed Graphs is suitable for students ages 8 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Metric Temporal Graph Logic over Typed Attributed Graphs?

Metric Temporal Graph Logic over Typed Attributed Graphs by Holger Giese is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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