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Book chapter

Formalization of Many-Valued Logics

In Partiality and Underspecification in Information, Languages, and Knowledge — 2017, pp. 219-256

By Villadsen, Jørgen1,2; Schlichtkrull, Anders1,2

Edited by Christiansen, Henning; Moss, Lawrence S.; Jiménez-López, M. Dolores; Loukanova, Roussanka

From

Department of Applied Mathematics and Computer Science, Technical University of Denmark1

Algorithms and Logic, Department of Applied Mathematics and Computer Science, Technical University of Denmark2

Partiality is a key challenge for computational approaches to artificial intelligence in general and natural language in particular. Various extensions of classical two-valued logic to many-valued logics have been investigated in order to meet this challenge. We use the proof assistant Isabelle to formalize the syntax and semantics of many-valued logics with determinate as well as indeterminate truth values.

The formalization allows for a concise presentation and makes automated verification possible.

Language: English
Publisher: Cambridge Scholars Press
Year: 2017
Pages: 219-256
ISBN: 1443879479 , 1527500721 , 9781443879477 and 9781527500723
Types: Book chapter
ORCIDs: Villadsen, Jørgen and Schlichtkrull, Anders

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