The importance of transformations and normal forms in logic programming, generally computer science, is well documented. This paper investigates the context Defeasible Logic, a simple but efficient formalism for nonmonotonic reasoning based on rules priorities. described this have two main benefits: one hand they can be used as theoretical tool that leads to deeper understanding formalism, other been development an implementation defeasible logic.

Defeasible reasoning is a simple but efficient rule-based approach to nonmonotonic reasoning. It has powerful implementations and shows promise be applied in the areas of legal modelling business rules. This paper establishes significant links between defeasible argumentation. In particular, Dung-like argumentation semantics provided for two key logics, which one ambiguity propagating other blocking. There are several reasons significance this work: (a) establishing formal systems leads...

Complete axiomizations for the algebras of infinite trees and are presented. The parameterized by alphabet function symbols both finite trees. There two main cases, depending on whether number is or infinite. In former case an extra axiom necessary to obtain completeness. method proof elimination quantifiers. Although a full quantifiers not possible, forms basis decision procedures theories corresponding algebras. As corollary results in trees, elementary equivalence algebra rational...

Defeasible logic is a rule-based nonmonotonic logic, with both strict and defeasible rules, priority relation on rules. We show that inference in the propositional form of can be performed linear time. This contrasts markedly most other logics, which intractable.

For many years, the non-montonic reasoning community has focussed on highly expressive logics. Such logics have turned out to be computationally expensive, and given little support practical use of non-monotonic reasoning. In this work we discuss defeasible logic, a less-expressive but more efficient logic. We report two new implemented systems for logic: query answering system employing backward-chaining approach, forward-chaining implementation that computes all conclusions. Our...

Defeasible reasoning is a simple but efficient approach to nonmonotonic that has recently attracted considerable interest and found various applications. logic its variants are an important family of defeasible methods. So far no relationship been established between mainstream approaches. In this paper we establish close links known semantics programs. particular, give translation theory , instead.

Regulations are a wide-spread and important part of government business. They codify how products must be made processes should performed. Such regulations can difficult to understand apply. In an environment growing complexity of, change in, regulation, automated support for reasoning with is becoming increasingly necessary. this paper we claim that such provided on the basis defeasible logical rules. We highlight by tool, illustrate some aspects using examples from one specific domain:...

Defeasible reasoning is a computationally simple nonmonotonic approach that has attracted significant theoretical and practical attention. It comprises family of logics capture different intuitions, among them ambiguity propagation versus blocking, the adoption or rejection team defeat. This article provides compact presentation defeasible logic variants, derives an inclusion theorem which shows notions provability in form chain levels proof.