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Journal of Automated Reasoning

, Volume 44, Issue 3, pp 175–205 | Cite as

MetiTarski: An Automatic Theorem Prover for Real-Valued Special Functions

  • Behzad Akbarpour
  • Lawrence Charles Paulson
Article
First Online:
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Accepted:

Abstract

Many theorems involving special functions such as ln, exp and sin can be proved automatically by MetiTarski: a resolution theorem prover modified to call a decision procedure for the theory of real closed fields. Special functions are approximated by upper and lower bounds, which are typically rational functions derived from Taylor or continued fraction expansions. The decision procedure simplifies clauses by deleting literals that are inconsistent with other algebraic facts. MetiTarski simplifies arithmetic expressions by conversion to a recursive representation, followed by flattening of nested quotients. Applications include verifying hybrid and control systems.

Keywords

Special Function Decision Procedure Continue Fraction Theorem Prover Axiom System 
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 Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Computer LaboratoryUniversity of CambridgeCambridgeUK

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