A Lukasiewicz logic based Prolog.

Frank Klawonn; Rudolf Kruse

Mathware and Soft Computing (1994)

  • Volume: 1, Issue: 1, page 5-29
  • ISSN: 1134-5632

Abstract

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Prolog is a programming language based on a restricted subset of classical first order predicate logic. In order to overcome some problems of classical logic to handle imperfect human knowledge, we provide a formal framework for a Lukasiewicz logic based Prolog system. The use of Lukasiewicz logic with its connection to Ulam games enables us to deal with partial inconsistencies by interpreting the truth values as relative distance to contradiction. We also present the software tool LULOG which is based on the theoretical results of this paper and can be seen as a Prolog system for many-valued logic. Applications of LULOG to an Ulam game and an example of reasoning with imperfect knowledge are also discussed.

How to cite

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Klawonn, Frank, and Kruse, Rudolf. "A Lukasiewicz logic based Prolog.." Mathware and Soft Computing 1.1 (1994): 5-29. <http://eudml.org/doc/39020>.

@article{Klawonn1994,
abstract = {Prolog is a programming language based on a restricted subset of classical first order predicate logic. In order to overcome some problems of classical logic to handle imperfect human knowledge, we provide a formal framework for a Lukasiewicz logic based Prolog system. The use of Lukasiewicz logic with its connection to Ulam games enables us to deal with partial inconsistencies by interpreting the truth values as relative distance to contradiction. We also present the software tool LULOG which is based on the theoretical results of this paper and can be seen as a Prolog system for many-valued logic. Applications of LULOG to an Ulam game and an example of reasoning with imperfect knowledge are also discussed.},
author = {Klawonn, Frank, Kruse, Rudolf},
journal = {Mathware and Soft Computing},
keywords = {Lenguajes de programación; Lógica difusa; Prolog; Inteligencia artificial},
language = {eng},
number = {1},
pages = {5-29},
title = {A Lukasiewicz logic based Prolog.},
url = {http://eudml.org/doc/39020},
volume = {1},
year = {1994},
}

TY - JOUR
AU - Klawonn, Frank
AU - Kruse, Rudolf
TI - A Lukasiewicz logic based Prolog.
JO - Mathware and Soft Computing
PY - 1994
VL - 1
IS - 1
SP - 5
EP - 29
AB - Prolog is a programming language based on a restricted subset of classical first order predicate logic. In order to overcome some problems of classical logic to handle imperfect human knowledge, we provide a formal framework for a Lukasiewicz logic based Prolog system. The use of Lukasiewicz logic with its connection to Ulam games enables us to deal with partial inconsistencies by interpreting the truth values as relative distance to contradiction. We also present the software tool LULOG which is based on the theoretical results of this paper and can be seen as a Prolog system for many-valued logic. Applications of LULOG to an Ulam game and an example of reasoning with imperfect knowledge are also discussed.
LA - eng
KW - Lenguajes de programación; Lógica difusa; Prolog; Inteligencia artificial
UR - http://eudml.org/doc/39020
ER -

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