Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

DLS-Forgetter: An Implementation of the DLS Forgetting Calculus for First-Order Logic

View through CrossRef
DLS-Forgetter is a reasoning tool that aims to compute restricted views of a knowledge base of first-order logic formulae via semantic forgetting. Semantic forgetting achieves this by eliminating predicate symbols in an equivalence preserving way up to the remain- ing symbols. Forgetting has many applications such as information hiding, explanation generation and computing logical difference. DLS-Forgetter combines ideas from two Ackermann-based approaches: the DLS algorithm and a modal logic inference system inspired by the algorithm. The tool enhances the DLS algorithm by incorporating an ordering over the symbols in the forgetting signature. This allows more control over the forgetting process and the application of the elimination rules. The theory behind the tool is provided by a first-order Ackermann calculus, a first-order generalisation of the rules outlined by the modal logic inference system. The purpose of the tool is to provide the research community with an experimental tool to allow further research to be conducted in the area. This paper describes the DLS-Forgetter tool along with its underlying calculus, it outlines the forgetting process used in the implementation, and presents results of an empirical evaluation.
Title: DLS-Forgetter: An Implementation of the DLS Forgetting Calculus for First-Order Logic
Description:
DLS-Forgetter is a reasoning tool that aims to compute restricted views of a knowledge base of first-order logic formulae via semantic forgetting.
Semantic forgetting achieves this by eliminating predicate symbols in an equivalence preserving way up to the remain- ing symbols.
Forgetting has many applications such as information hiding, explanation generation and computing logical difference.
DLS-Forgetter combines ideas from two Ackermann-based approaches: the DLS algorithm and a modal logic inference system inspired by the algorithm.
The tool enhances the DLS algorithm by incorporating an ordering over the symbols in the forgetting signature.
This allows more control over the forgetting process and the application of the elimination rules.
The theory behind the tool is provided by a first-order Ackermann calculus, a first-order generalisation of the rules outlined by the modal logic inference system.
The purpose of the tool is to provide the research community with an experimental tool to allow further research to be conducted in the area.
This paper describes the DLS-Forgetter tool along with its underlying calculus, it outlines the forgetting process used in the implementation, and presents results of an empirical evaluation.

Related Results

Predicate calculus
Predicate calculus
The predicate calculus is the dominant system of modern logic, having displaced the traditional Aristotelian syllogistic logic that had been the previous paradigm. Like Aristotle’s...
Logic in the early 20th century
Logic in the early 20th century
The creation of modern logic is one of the most stunning achievements of mathematics and philosophy in the twentieth century. Modern logic – sometimes called logistic, symbolic log...
MECHANISMS OF SCHEMATIC MODELING BASED ON VECTOR LOGIC
MECHANISMS OF SCHEMATIC MODELING BASED ON VECTOR LOGIC
Context. This paper addresses issues relevant to the EDA market – reducing the cost and time of testing and verification of digital projects by synthesizing the logic vector of a d...
Filosofi Kalkulus dalam Sejarah Matematika
Filosofi Kalkulus dalam Sejarah Matematika
In Mathematics there are many branches of mathematics, one of which is Calculus. Calculus is often considered a difficult branch of mathematics. However, even so, Calculus is very ...
Análisis de las prácticas docentes en torno a la enseñanza de lógica en la formación de estudiantes de profesorado en matemática
Análisis de las prácticas docentes en torno a la enseñanza de lógica en la formación de estudiantes de profesorado en matemática
La presente tesis se ocupa del análisis de las prácticas de dos profesores universitarios que enseñan temas vinculados al estudio de cálculo proposicional y cálculo de predicados a...
Sagittal plane analysis of the spine and pelvis in degenerative lumbar scoliosis
Sagittal plane analysis of the spine and pelvis in degenerative lumbar scoliosis
Background: Previous studies have reported the normative values of pelvic sagittal parameters, but no study has analyzed the sagittal spino-pelvic alignment in ...

Back to Top