Mutually Exclusive Rules in LogicWeb

Keehang Kwon; Daeseong Kang

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arXiv · 1211.4935

Mutually Exclusive Rules in LogicWeb

Keehang Kwon·Daeseong Kang

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Abstract

LogicWeb has traditionally lacked devices for expressing mutually exclusive clauses. We address this limitation by adopting choice-conjunctive clauses of the form $D_0 \adc D_1$ where $D_0, D_1$ are Horn clauses and $\adc$ is a linear logic connective. Solving a goal $G$ using $D_0 \adc D_1$ -- $\prov(D_0 \adc D_1,G)$ -- has the following operational semantics: choose a successful one between $\prov(D_0,G)$ and $\prov(D_1,G)$. In other words, if $D_o$ is chosen in the course of solving $G$, then $D_1$ will be discarded and vice versa. Hence, the class of choice-conjunctive clauses precisely captures the notion of mutually exclusive clauses.

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Keehang Kwon, Daeseong Kang. 2012-11-21. Mutually Exclusive Rules in LogicWeb. https://arxiv.org/abs/1211.4935

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