Structured theories in LCF

  • D. T. Sannella
  • R. M. Burstall
Contributed Papers
Part of the Lecture Notes in Computer Science book series (LNCS, volume 159)


An extension to the Edinburgh LCF interactive theorem-proving system is described which provides new ways of constructing theories, drawing upon ideas from the Clear specification language. A new theory can be built from an existing theory in two new ways: by renaming its types and constants, or by abstraction (forgetting some types and constants and perhaps renaming the rest). A way of providing parameterised theories is described. These theory-building operations — together with operations for forming a primitive theory and for taking the union of theories — allow large theories to be built in a flexible and well-structured fashion. Inference rules and strategies for proof in structured theories are also discussed.


Structure Theory Inference Rule Type Operator Springer Lecture Note Proof Strategy 
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 1983

Authors and Affiliations

  • D. T. Sannella
    • 1
  • R. M. Burstall
    • 1
  1. 1.Department of Computer ScienceUniversity of EdinburghUK

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