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McArthur, R. L.. Tense Logic. Springer Netherlands, 2010.
eng

R. L. McArthur

Tense Logic

  • Springer Netherlands
  • 2010
  • Taschenbuch
  • 100 Seiten
  • ISBN 9789048183456

This monograph is designed to provide an introduction to the principal areas of tense logic. Many of the developments in this ever-growing field have been intentionally excluded to fulfill this aim. Length also dictated a choice between the alternative notations of A. N. Prior and Nicholas Rescher - two pioneers of the subject. I choose Prior's because of the syntactical parallels with the language it symbolizes and its close ties with other branches of logi­ cal theory, especially modal logic. The first chapter presents a wider view of the material than later chapters. Several lines of development are consequently not followed through the remainder of the book, most notably metric systems. Although it is import­ ant to recognize that the unadorned Prior-symbolism can be enriched in vari­ ous ways it is an advanced subject as to how to actually carry off these enrichments. Readers desiring more information are referred to the appropri­ ate literature. Specialists will notice that only the first of several quantifi­ cational versions of tense logic is proven complete in the final chapter. Again constraints of space are partly to blame. The proof for the 'star ' systems is wildly complex and at the time of this writing is not yet ready for publi­ cation.

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