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Mathematics | Dual Tableaux: Foundations, Methodology, Case Studies

Dual Tableaux: Foundations, Methodology, Case Studies

Series: Trends in Logic, Vol. 33

Orlowska, Ewa, Golińska Pilarek, Joanna

2011, XVI, 523 p.

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  • The first book on the topic that provides a self-contained presentation of the field
  • Presents an up-to-date, unifying treatment of the research in dual tableaux theory
  • Explores applications of dual tableaux and contemporary applied theories such as temporal reasoning, spatial reasoning, order-of-magnitude reasoning, fuzzy logic, rough set logics
  • Serves as a reference work for researchers and graduate students
The book presents logical foundations of dual tableaux together with a number of their applications both to logics traditionally dealt with in mathematics and philosophy (such as modal, intuitionistic, relevant, and many-valued logics) and to various applied theories of computational logic (such as temporal reasoning, spatial reasoning, fuzzy-set-based reasoning, rough-set-based reasoning, order-of magnitude reasoning, reasoning about programs, threshold logics, logics of conditional decisions). The distinguishing feature of most of these applications is that the corresponding dual tableaux are built in a relational language which provides useful means of presentation of the theories. In this way modularity of dual tableaux is ensured. We do not need to develop and implement each dual tableau from scratch, we should only extend the relational core common to many theories with the rules specific for a particular theory.

Content Level » Research

Keywords » Dual tableau - Logic - Proof theory - Relation algebra

Related subjects » Logic & Philosophy of Language - Mathematics - Theoretical Computer Science

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