Including the Past in Topologic 1st Edition by Bernhard Heinemann ISBN 9783540727347

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ISBN 10: 
ISBN 13: 9783540727347
Author: Bernhard Heinemann

In this paper, we extend Moss and Parikh’s topo-logical view of knowledge. We incorporate a further modality, denoted P, into the original system. This operator describes the increase of sets. Regarding the usual logic of knowledge, P corresponds to no learning of agents. In the context of ‘topologic’, however, P represents the reverse effort operator and is related to the past therefore. It is our objective to prove nice properties of the accompanying logic like soundness and completeness with respect to the intended class of structures, or decidability. To this end, we take up a hybrid logic point of view, among other things. This not only yields the desired results, but also has some interesting consequences with regard to applications.

Including the Past in ‘Topologic’ 1st Table of contents:

• The Concept of Topologic
• Temporal Aspects and the Past
• Philosophical Foundations
• Including the Past in Topologic Frameworks
• Formalization of Temporal Structures
• Applications and Case Studies
• Challenges and Limitations
• Future Research Directions

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