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Analytica An Experiment in Combining Theorem Proving and Symbolic Computation (1997)  (Make Corrections)  (11 citations)
Andrej Bauer, Edmund Clarke, Xudong Zhao
Journal of Automated Reasoning



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Abstract: Analytica is an automatic theorem prover for theorems in elementary analysis. The prover is written in Mathematica language and runs in the Mathematica environment. The goal of the project is to use a powerful symbolic computation system to prove theorems that are beyond the scope of previous automatic theorem provers. The theorem prover is also able to deduce correctness of certain simplification steps that would otherwise not be performed. We describe the structure of Analytica and explain... (Update)

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BibTeX entry:   (Update)

Andrej Bauer, Edmund Clarke, and Xudong Zhao. Analytica - an experiment in combining theorem proving and symbolic computation. In Artificial Intelligence and Symbolic Mathematical Computation (AISMC3) , volume 1138 of Lecture Notes in Computer Science, pages 21--37. Springer, 1996. http://citeseer.ist.psu.edu/bauer97analytica.html   More

@article{ bauer98analytica,
    author = "Andrej Bauer and Edmund M. Clarke and Xudong Zhao",
    title = "Analytica - An Experiment in Combining Theorem Proving and Symbolic Computation",
    journal = "Journal of Automated Reasoning",
    volume = "21",
    number = "3",
    pages = "295-325",
    year = "1998",
    url = "citeseer.ist.psu.edu/bauer97analytica.html" }
Citations (may not include all citations):
392   A Computational Logic (context) - Boyer, Moore - 1979
322   First-order Logic and Automated Theorem Proving (context) - Fitting - 1990
287   Mathematica: A System for Doing Mathematics by Computer (context) - Wolfram - 1988
157   Edinburgh LCF: A mechanised logic of computation (context) - Gordon, Milner et al. - 1979
110   Ramanujan's Notebooks (context) - Berndt - 1985
99   IMPS: An interactive mathematical proof system - Farmer, Guttman et al. - 1990
97   Experiments with proof plans for induction - Bundy, van Harmelen et al. - 1988
82   Logic for Computer Science: Foundations of Automatic Theorem.. (context) - Gallier - 1986
61   Oxford University Press (context) - Titchmarsh, of - 1932
45   HOL: A machine oriented formulation of higher order logic - Gordon - 1985
43   Theorems and Algorithms: An Interface between Isabelle and M.. - Ballarin, Homann et al. - 1995
38   Analytica: A theorem prover for Mathematica - Clarke, Zhao - 1993
27   Automated deduction in von Neumann-Bernays-Godel set theory (context) - Quaife - 1989
21   Extending HOL Theorem Prover with a Computer Algebra System .. - Harrison, Th'ery - 1994
12   Indefinite hypergeometric sums in MACSYMA (context) - Gosper - 1977
9   Some automatic proofs in analysis (context) - Bledsoe - 1984
6   The application of a symbolic mathematical system to program.. (context) - London, Musser - 1975
5   The UT natural deduction prover (context) - Bledsoe - 1983
5   An interactive calculus theorem-prover for continuity proper.. (context) - Suppes, Takahashi - 1989
4   Hierarchical inequality reasoning (context) - Sacks - 1987
3   A prover for general inequalities (context) - Bledsoe, Bruell et al. - 1979
1   Gazing: An Approach to the Problem of Definition and Lemma U.. (context) - Baker-Plummer - 1992



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