Könyv Set Theory for Knowledge Representation Cristiano Longo

Set Theory for Knowledge Representation

Set-Theoretical Languages for Reasoning in Knowledge Domains

Szerző: Cristiano Longo
Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Kiadói készleten rendelésre
Küldés 17-27 napon belül
17 405 Ft
The decision problem in set theory has been intensively investigated in the last decades, and decisi...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2012
oldal
72
EAN
9783659248719
Enbook ID
06996728
Súly
124
Méretek
150 x 220 x 4

Teljes leírás

The decision problem in set theory has been intensively investigated in the last decades, and decision procedures or proofs of undecidability have been provided for several quantified and unquantified fragments of set theory. In this book we study the decision problem for three novel quantified fragments of set theory, which allow the explicit manipulation of ordered pairs. We present a decision procedure for each language of this family, and prove that all of these procedures are optimal (in the sense that they run in nondeterministic polynomial-time) when restricted to formulae with quantifier nesting bounded by a constant. The expressive power of languages of this family is then measured in terms of set-theoretical constructs they allow to express. In addition, these languages can be profitably employed in knowledge representation, since they allow to express a large amount description logic constructs.

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