leanCoP 2.0 and ileanCoP 1.2: High Performance Lean Theorem Proving in Classical and Intuitionistic Logic (System Descriptions)

  • Authors:
  • Jens Otten

  • Affiliations:
  • Institut für Informatik, University of Potsdam, Potsdam-Babelsberg, Germany 14482

  • Venue:
  • IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
  • Year:
  • 2008

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Abstract

leanCoPis a very compact theorem prover for classical first-order logic, based on the connection (tableau) calculus and implemented in Prolog. leanCoP 2.0enhances leanCoP1.0by adding regularity, lemmata, and a technique for restricting backtracking. It also provides a definitional translation into clausal form and integrates "Prolog technology" into a lean theorem prover. ileanCoPis a compact theorem prover for intuitionistic first-order logic and based on the clausal connection calculus for intuitionistic logic. leanCoP 2.0extends the classical prover leanCoP 2.0by adding prefixes and a prefix unification algorithm. We present details of both implementations and evaluate their performance.