Conceptual Structures in Practice by Pascal Hitzler

By Pascal Hitzler

Exploring primary learn questions, Conceptual constructions in Practice takes you thru the fundamental but nontrivial activity of creating conceptual family members because the starting place for examine in wisdom illustration and data mining. It comprises contributions from prime researchers in either the conceptual graph and formal thought research (FCA) communities.

This available, self-contained publication starts through supplying the formal historical past in FCA and conceptual graphs. It then describes a variety of software program instruments for research and computation, together with the ToscanaJ suite. Written by means of the unique visionaries of the sector, the following part discusses the historical past and destiny instructions of conceptual constructions. the ultimate chapters discover well-liked software parts in machine technological know-how, together with textual content research, internet semantics, and clever systems.

An exceptional, cutting-edge assessment from innovators within the box, this quantity discusses how FCA and conceptual graphs can be utilized in lots of computing device technological know-how components. It serves as a benchmark of study on conceptual constructions, inspiring extra exploration during this self-discipline.

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3, we briefly investigate whether Sowa’s CGs are indeed “logically precise,” and we will see that they do not suit the needs of contemporary formal logic. For this reason, much research on the formal theory of CGs aims to fix the formal gaps and flaws of CGs. 4, an overview over different approaches to turn CGs into a mathematically precise system of logic is given, and a core notation for a formal theory is provided. In different works, different fragments of CGs are elaborated in a precise manner.

This is not always possible. For this reason, in some works it is required that coreferent vertices are labeled with the same concept name, and other works consider SCG where vertices can be labeled with sets of concept names. In [Chein and Mugnier, 2004], Chein and Mugnier consider existential SCGs with coreference links, and they overcome the need for normalforms in projections. To do so, they firstly allow concept vertices to be labeled with sets of concept names, which are interpreted as their conjunction.

Further Literature . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 18 23 28 34 43 Introduction This chapter aims to give an introduction into the formal theory of conceptual graphs (abbreviated by CGs), with an emphasis on how CGs can be understood as a diagrammatic approach to formal logic. Of course, as it can already easily be seen from the huge variety of topics covered in this book, formal logic is only one of many aspects of CGs.

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