Automatically assigned DDC number: 005115

Manually assigned DDC number: 005115

Number of references: 16

Title: Many-Valued First-Order Logics with Probabilistic Semantics

Author:

Subject: Thomas Lukasiewicz Many-Valued First-Order Logics with Probabilistic Semantics

Description: . We present n-valued first-order logics with a purely probabilistic semantics. We then introduce a new probabilistic semantics of n-valued first-order logics that lies between the purely probabilistic semantics and the truth-functional semantics of the n-valued / Lukasiewicz logics / Ln . Within this semantics, closed formulas of classical first-order logics that are logically equivalent in the classical sense also have the same truth value under all n-valued interpretations. Moreover, this semantics is shown to have interesting computational properties. More precisely, n-valued logical consequence in disjunctive logic programs with n-valued disjunctive facts can be reduced to classical logical consequence in n Gamma 1 layers of classical disjunctive logic programs. Moreover, we show that n-valued logic programs have a model and a fixpoint semantics that are very similar to those of classical logic programs. Finally, we show that some important deduction problems in n-valued logic ...

Contributor: The Pennsylvania State University CiteSeer Archives

Publisher: unknown

Date: 1999-05-31

Pubyear: 1998

Format: ps

Identifier: http://citeseer.ist.psu.edu/212070.html

Source: http://www.kr.tuwien.ac.at/staff/lukasiew/csl98.ps.gz

Language: en

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