Theorem Prover

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John Slaney - One of the best experts on this subject based on the ideXlab platform.

  • CADE - Scavenger 0.1: A Theorem Prover Based on Conflict Resolution
    Automated Deduction – CADE 26, 2017
    Co-Authors: Daniyar Itegulov, John Slaney, Bruno Woltzenlogel Paleo
    Abstract:

    This paper introduces Scavenger, the first Theorem Prover for pure first-order logic without equality based on the new conflict resolution calculus. Conflict resolution has a restricted resolution inference rule that resembles (a first-order generalization of) unit propagation as well as a rule for assuming decision literals and a rule for deriving new clauses by (a first-order generalization of) conflict-driven clause learning.

  • Scavenger 0.1: A Theorem Prover Based on Conflict Resolution
    arXiv: Logic in Computer Science, 2017
    Co-Authors: Daniyar Itegulov, John Slaney, Bruno Woltzenlogel Paleo
    Abstract:

    This paper introduces Scavenger, the first Theorem Prover for pure first-order logic without equality based on the new conflict resolution calculus. Conflict resolution has a restricted resolution inference rule that resembles (a first-order generalization of) unit propagation as well as a rule for assuming decision literals and a rule for deriving new clauses by (a first-order generalization of) conflict-driven clause learning.

  • scott a model guided Theorem Prover
    International Joint Conference on Artificial Intelligence, 1993
    Co-Authors: John Slaney
    Abstract:

    SCOTT (Semantically Constrained Otter) is a resolution-based automatic Theorem Prover for first order logic. It is based on the high performance Prover OTTER by W. McCune and also incorporates a model generator. This finds finite models which SCOTT is able to use in a variety of ways to direct its proof search. Clauses generated by the Prover are in turn used as axioms of theories to be modelled. Thus Prover and model generator inform each other dynamically. This paper describes the algorithm and some sample results.

  • CADE - ROO: A Parallel Theorem Prover
    Automated Deduction—CADE-11, 1992
    Co-Authors: Ewing Lusk, William Mccune, John Slaney
    Abstract:

    We describe a parallel Theorem Prover based on the Argonne Theorem-proving system OTTER. The parallel system, called Roo, runs on shared-memory multiprocessors such as the Sequent Symmetry. We explain the parallel algorithm used and give performance results that demonstrate near-linear speedups on large problems.

Nicola Olivetti - One of the best experts on this subject based on the ideXlab platform.

Gernot Stenz - One of the best experts on this subject based on the ideXlab platform.

  • dctp a disconnection calculus Theorem Prover system abstract
    International Joint Conference on Automated Reasoning, 2001
    Co-Authors: Reinhold Letz, Gernot Stenz
    Abstract:

    We describe the Theorem Prover DCTP, which is an implementation of the disconnection tableau calculus, a confluent tableau method, in which free variables are treated in a non-rigid manner. In contrast to most other free-variable tableau variants, the system can also be used for model generation. We sketch the underlying calculus and its refinements, and present the results of an experimental evaluation.

  • IJCAR - DCTP - A Disconnection Calculus Theorem Prover - System Abstract
    Automated Reasoning, 2001
    Co-Authors: Reinhold Letz, Gernot Stenz
    Abstract:

    We describe the Theorem Prover DCTP, which is an implementation of the disconnection tableau calculus, a confluent tableau method, in which free variables are treated in a non-rigid manner. In contrast to most other free-variable tableau variants, the system can also be used for model generation. We sketch the underlying calculus and its refinements, and present the results of an experimental evaluation.

  • e setheo an automated3 Theorem Prover
    Theorem Proving with Analytic Tableaux and Related Methods, 2000
    Co-Authors: Gernot Stenz, Andreas Wolf
    Abstract:

    We have developed a method for strategy evaluation and selection based on test data generated from the problem domain. We present the Theorem Prover e-SETHEO, which automatically handles training data management, strategy evaluation and selection, and actual proof tasks. We also give some experimental data produced with this system. We address the problem of test set extraction and give an assessment of our work.

Gian Luca Pozzato - One of the best experts on this subject based on the ideXlab platform.

Reinhold Letz - One of the best experts on this subject based on the ideXlab platform.

  • dctp a disconnection calculus Theorem Prover system abstract
    International Joint Conference on Automated Reasoning, 2001
    Co-Authors: Reinhold Letz, Gernot Stenz
    Abstract:

    We describe the Theorem Prover DCTP, which is an implementation of the disconnection tableau calculus, a confluent tableau method, in which free variables are treated in a non-rigid manner. In contrast to most other free-variable tableau variants, the system can also be used for model generation. We sketch the underlying calculus and its refinements, and present the results of an experimental evaluation.

  • IJCAR - DCTP - A Disconnection Calculus Theorem Prover - System Abstract
    Automated Reasoning, 2001
    Co-Authors: Reinhold Letz, Gernot Stenz
    Abstract:

    We describe the Theorem Prover DCTP, which is an implementation of the disconnection tableau calculus, a confluent tableau method, in which free variables are treated in a non-rigid manner. In contrast to most other free-variable tableau variants, the system can also be used for model generation. We sketch the underlying calculus and its refinements, and present the results of an experimental evaluation.

  • setheo a high performance Theorem Prover
    Journal of Automated Reasoning, 1992
    Co-Authors: Reinhold Letz, Johann Schumann, S. Bayerl, W. Bibel
    Abstract:

    A sound and complete Theorem Prover for first-order logic is presented, which is based on the connection method. The inference machine is implemented using PROLOG technology, an approach taken also with other systems, most prominently with Stickel's PTTP. But SETHEO differs from those in essential characteristics, among which are the following ones. It incorporates a powerful preprocessing module for a reduction of the input formula. The main proof procedure is realized as a variant of Warren's abstract machine. For search pruning we perform subsumption and regular proofs. Factorization, lemma generation, and the application of proof schemata are offered as options. The entire system is implemented in C and is running on several machines. The most remarkable feature of SETHEO is its performance of up to 70 Klips on a SUN SPARC station 1 with 12 Mips. The paper comprises the theoretical background, the system architecture as well as details of the implementation.