Journal of Automated Reasoning

, Volume 50, Issue 1, pp 99–117 | Cite as

Case Splitting in an Automatic Theorem Prover for Real-Valued Special Functions

  • James P. Bridge
  • Lawrence Charles PaulsonEmail author


Case splitting, with and without backtracking, is compared with straightforward ordered resolution. Both forms of splitting have been implemented for MetiTarski, an automatic theorem prover for real-valued special functions such as \(\exp\), ln , sin, cos and tan − 1. The experimental findings confirm the superiority of true backtracking over the simulation of backtracking through the introduction of new predicate symbols, and the superiority of both over straightforward resolution.


Splitting Resolution theorem proving SPASS MetiTarski 


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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Computer LaboratoryUniversity of CambridgeCambridgeUK

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