DisLoP: A Disjunctive Logic Programming System Based on PROTEIN Theorem Prover

@inproceedings{Aravindan1996DisLoPAD,
  title={DisLoP: A Disjunctive Logic Programming System Based on PROTEIN Theorem Prover},
  author={Chandrabose Aravindan},
  booktitle={KI},
  year={1996}
}
  • C. Aravindan
  • Published in KI 17 September 1996
  • Computer Science
In this paper, we describe a disjunctive logic programming system, referred to as DisLoP, based on PROTEIN theorem prover. PROTEIN supports certain theorem proving calculi, such as restart model elimination and hyper tableaux, that are suitable for working with positive disjunctive logic programs. In particular, restart model elimination calculus is answer complete for postive queries. The DisLoP project started at this point with the aim of extending this further to minimal model reasoning and… 
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References

SHOWING 1-10 OF 66 REFERENCES

Model Elimination, Logic Programming and Computing Answers

TLDR
It is demonstrated that theorem provers using model elimination (ME) can be used as answer complete interpreters for disjunctive logic programming and a new calculus called ancestry restart ME is developed, which admits a more restrictive regularity restriction than restart ME.

Hyper Tableaux and Disjunctive Logic Programming

TLDR
This paper proves that there exist an eecient proof procedure, namely hyper tableaux, which can be understood as a direct implementation of some of the well known xpoint iteration techniques, and shows how ahyper tableaux refutation can be transformed into a restart model elimination refutation.

An Abductive Framework for Negation in Disjunctive Logic Programming

TLDR
This paper shows how a theorem prover, based on restart model elimination calculus, can be modified for abductive reasoning and thus for minimal model reasoning.

A Disjunctive Semantics Bases on Unfolding and Bottom-Up Evaluation

We define a new semantics for disjunctive logic programs in an abstract way as the weakest semantics with certain properties, the most important being the unfolding-property (GPPE). Our semantics is

Refinements of Theory Model Elimination and a Variant without Contrapositives

TLDR
This work presents several complete versions of highly restricted theory model elimination (TME) calculi, and shows how regul arity can be adapted for these versions, ensuring the independence of the goal computation ruleholds for all variants.

Knowledge Representation with Logic Programs

TLDR
This overview of knowledge representation shows how Knowledge Representation (KR) can be done with the help of generalized logic programs and extends this basic class of programs by additional features like Negation-as-Finite-Failure, Default-Negation, Explicit Negation, Preferences, and Disjunction.

Characterizations of the Stable Semantics by Partial Evaluation

TLDR
This work proves characterizations of three most prominent semantics defined for certain subclasses of disjunctive logic programs: GCWA, PERFECT and STABLE and shows that if a semantics SEM satisfies Partial Evaluation and Elimination of Taulologies then SEM is based on 2-volued minimal models for positive programs, and if SEM satisfies in addition Eliminations of Contradictions, it isbased on stable models.

Theory Reasoning in First Order Calculi

TLDR
A PPTP-prover which is able to handle universal theories is presented and some examples are given to show that the use of built-in theories can increase efficiency drastically.

A Tableau Calculus for Minimal Model Reasoning

TLDR
The paper studies the automation of minimal model inference, i.e., determining whether a formula is true in every minimal model of the premises by employing a groundedness property of minimal models.

Analyzing Rule Sets for the Calculation of Banking Fees by a Theorem Prover with Constraints

We show that theorem proving, logic programming and constraint solving can be combined in a straightforward manner. This is shown not only by setting up a theoretical framework, but also by a real
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