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A Theoretical Analysis of Hierarchical Proofs

  • Paul Cairns
  • Jeremy Gow
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2594)

Abstract

Hierarchical proof presentations are ubiquitous within logic and computer science,but have made little impact on mathematics in general.The reasons for this are not currently known,and need to be understood if mathematical knowledge management systems are to gain acceptance in the mathematical community.We report on some initial experiments with three users of a set of web-based hierarchical proofs, which suggest that usability problems could be a factor.In order to better understand these problems we present a theoretical analysis of hierarchical proofs using Cognitive Dimensions [6].The analysis allows us to formulate some concrete hypotheses about the usability of hierarchical proof presentations.

Keywords

Usability Problem Cognitive Dimension Mental Workload Proof Step Progressive Evaluation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Paul Cairns
    • 1
  • Jeremy Gow
    • 1
  1. 1.UCL Interaction CentreUniversity College LondonLondonUK

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