scholarly journals Use of Logical Models for Proving Operational Termination in General Logics

Author(s):  
Salvador Lucas
Author(s):  
Andrew Potter

Abstract Rhetorical structure theory (RST) and relational propositions have been shown useful in analyzing texts as expressions in propositional logic. Because these expressions are systematically derived, they may be expected to model discursive reasoning as articulated in the text. If this is the case, it would follow that logical operations performed on the expressions would be reflected in the texts. In this paper the logic of relational propositions is used to demonstrate the applicability of transitive inference to discourse. Starting with a selection of RST analyses from the research literature, analyses of the logic of relational propositions are performed to identify their corresponding logical expressions and within each expression to identify the inference path implicit within the text. By eliminating intermediary relational propositions, transitivity is then used to progressively compress the expression. The resulting compressions are applied to the corresponding texts and their compressed RST analyses. The application of transitive inference to logical expressions results in abridged texts that are intuitively coherent and logically compatible with their originals. This indicates an underlying isomorphism between the inferential structure of logical expressions and discursive coherence, and it confirms that these expressions function as logical models of the text. Potential areas for application include knowledge representation, logic and argumentation, and RST validation.


2018 ◽  
Vol 9 ◽  
Author(s):  
Trevor Pentzien ◽  
Bhanwar L. Puniya ◽  
Tomáš Helikar ◽  
Mihaela T. Matache

Ratio Juris ◽  
1990 ◽  
Vol 3 (2) ◽  
pp. 201-218 ◽  
Author(s):  
ROBERT KOWALSKI ◽  
MAREK SERGOT

2018 ◽  
Vol 9 (4) ◽  
pp. 050-062
Author(s):  
Natalia V. Bryukhanova ◽  
◽  
Vasiliy Y. Boev ◽  
Mikhail A. Kerapyan ◽  
◽  
...  

2018 ◽  
Vol 9 ◽  
Author(s):  
Nuno D. Mendes ◽  
Rui Henriques ◽  
Elisabeth Remy ◽  
Jorge Carneiro ◽  
Pedro T. Monteiro ◽  
...  
Keyword(s):  

Author(s):  
Elvira Immacolata Locuratolo

The article is concerned with the proposal of a new approach of conceptual database design, called evolving conceptual database design, which exploits the structure for the preservation of database classes/concepts within the design. In order to discuss the opportunity to take into consideration this approach, the structure is constructed starting from a database conceptual graph. The leaves of the structure are mapped to a logical/object database graph. Horizontal steps of constructive logical database design extend the model. The computational costs required to design the structure for the preservation of database classes/concepts, as well as the qualitative/conceptual costs of the logical models resulting from the constructive design, are discussed.


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