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  Genetic Strategy Selection for Parallel Theorem Proving

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by Gernot Stenz, Andreas Wolf
http://wwwjessen.informatik.tu-muenchen.de/~wolfa/papers/tromso.ps.gz
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Abstract:

Automated theorem provers use search strategies for accomplishing their proof tasks. Unfortunately, there is no unique strategy which is uniformly successful and uniformly fast on all problems. The combination of more than one strategy in parallel leads to a decreasing response time compared with sequential approaches and to an increasing number of solutions found. Limited availability of resources as time or processors necessitates the efficient use of these resources by partitioning the resources adequately among the involved strategies. We describe the paradigm of strategy parallelism for general search problems, and sketch some problems which have to be solved when constructing and configuring a strategy parallel prover. Then we present a solution for this prover configuration problem which works quickly, with high precision, and fully automatically. We finish giving some experimental data for our implementation of this concept, that has been proven to be one of the fastest available automated theorem provers for clause logic.

Citations

7709 Computers and Intractability: A Guide to the Theory of NP-Completeness – Garey, Johnson - 1979
1827 Adaptation in Natural and Artificial Systems. The – Holland - 1975
693 Genetic Programming – Koza - 1992
100 The TPTP problem library – Sutcliffe, Suttner, et al. - 1994
41 Knowledge-Based Distributed Search Using Teamwork – Denzinger - 1995
25 Isabelle : A Generic Theorem Prover. Number 828 in LNCS – Paulson - 1994
23 Partheo: A high-performance parallel theorem prover – Schumann, Letz - 1990
21 The KIV-system: Systematic construction of verified software – Reif - 1992
12 Parallel automated theorem proving – Suttner, Schumann - 1994
11 P-SETHEO: Strategy Parallelism in Automated Theorem Proving – Wolf - 1998
5 Experiments in learning prototypical situations for variants of the pursuit game – Denzinger, Fuchs - 1996
4 Bonacina and Jieh Hsiang. Distributed deduction by Clause-Di#usion: distributed contraction and the Aquarius prover – Paola - 1995
4 Strategy selection for automated theorem proving – Wolf - 1998
2 A Distributed and Learning Equational Prover – DISCOUNT - 1997
1 The ilf server. URL: http://www-irm.mathematik.hu-berlin.de/~ilf-serv – al - 1997
1 A Parallel Theorem Prover – SPTHEO - 1997
1 Strategy Selection by Genetic Programming – Stenz, Wolf - 1999
1 Parallel Theorem Provers Based on SETHEO – Schumann, Wolf, et al. - 1998