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  3. Bounded Variable Logics and Counting
    • Martin Otto, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany
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  • Publisher:
    Cambridge University Press
    Publication date:
    24 March 2017
    02 March 2017
    ISBN:
    9781316716878
    9781107167940
    DOI:
    https://doi.org/10.1017/9781316716878
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.4kg, 194 Pages
    Dimensions:
    Weight & Pages:
    • Subjects:
    Mathematics, Logic, Categories and Sets, Logic, Philosophy, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (9)
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    Subjects:
    Mathematics, Logic, Categories and Sets, Logic, Philosophy, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (9)
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    Book description

    Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the ninth publication in the Lecture Notes in Logic series, Martin Otto gives an introduction to finite model theory that indicates the main ideas and lines of inquiry that motivate research in this area. Particular attention is paid to bounded variable infinitary logics, with and without counting quantifiers, related fixed-point logics, and the corresponding fragments of Ptime. The relations with Ptime exhibit the fruitful exchange between ideas from logic and from complexity theory that is characteristic of finite model theory.

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