arXiv subjects

Manoj K. Raut

Publications and source records attributed to Manoj K. Raut.

4 recordsLinked to original sources

arXiv2019

An Algorithm for Computing Prime Implicates in Modal Logic Using Resolution

In this paper we have proposed an algorithm for computing prime implicates of a modal formula in $\mathbf{K}$ using resolution method suggested in \cite{Enjalbert}. The algorithm suggested in this paper takes polynomial times exponential time ,i.e, $O(n^{2k}\times 2^{n})$ to compute prime implicates whereas Binevenu's algorithm \cite{Bienvenu} takes doubly exponential time to compute prime implicates. We have also proved its correctness.

cs.LO↗

arXiv2016

Computing Theory Prime Implicates in Modal Logic

The algorithm to compute theory prime implicates, a generalization of prime implicates, in propositional logic has been suggested in \cite{Marquis}. In this paper we have extended that algorithm to compute theory prime implicates of a knowledge base $X$ with respect to another knowledge base $\Box Y$ using \cite{Bienvenu}, where $Y$ is a propositional knowledge base and $X\models Y$, in modal system $\mathcal{T}$ and we have also proved its correctness. We have also proved that it is an equivalence preserving knowledge compilation and the size of theory prime implicates of $X$ with respect to $\Box Y$ is less than the size of the prime implicates of $X\cup\Box Y$.

cs.LO↗

arXiv2014

On Octonary Codes and their Covering Radii

This paper introduces new reduction and torsion codes for an octonary code and determines their basic properties. These could be useful for the classification of self-orthogonal and self dual codes over $\mathbb{Z}_8$. We also focus our attention on covering radius problem of octonary codes. In particular, we determine lower and upper bounds of the covering radius of several classes of Repetition codes, Simplex codes of Type $α$ and Type $β$ and their duals, MacDonald codes, and Reed-Muller codes over $\mathbb{Z}_8$.

cs.IT↗

arXiv2011

An Incremental Knowledge Compilation in First Order Logic

An algorithm to compute the set of prime implicates of a quantifier-free clausal formula X in first order logic had been presented in earlier work. As the knowledge base X is dynamic, new clauses are added to the old knowledge base. In this paper an incremental algorithm is presented to compute the prime implicates of X and a clause C from $π(X)\cup C$. The correctness of the algorithm is also proved.

cs.LO↗