Theorem Proving with Structed Theories (Full Report)

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Theorem Proving with Structed Theories (Full Report) +  Has identifier

Theorem Proving with Structed Theories (Full Report) +  Ksl tr id

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Theorem Proving with Structed Theories (Full Report)

Bibtype  techreport

Has publishing details  April,2001

Has title  Theorem Proving with Structed Theories (Full Report)

Has where published  KSL-01-04

Has year  2001

Title  Theorem Proving with Structed Theories (Full Report)

Year  2001

Abstract  Motivated by the problem of query answerin Motivated by the problem of query answering over multiple structured commonsense theories, we exploit graph-based techniques to improve the efficiency of theorem proving for structured theories. Theories are organized into subtheories that are minimally connected by the literals they share. We present message-passing algorithms that reason over these theories using consequence finding, specializing our algorithms for the case of first-order resolution, and for batch and concurrent theorem proving. We provide an algorithm that restricts the interaction between subtheories by exploiting the polarity of literals. We attempt to minimize the reasoning within each individual partition by exploiting existing algorithms for focused incremental and general consequence finding. Finally, we propose an algorithm that compiles each subtheory into one in a reduced sublanguage. We have proven the soundness and completeness of all of these algorithms. d completeness of all of these algorithms.

Author  Sheila A. McIlraith and Eyal Amir +

Has author  Sheila A. McIlraith and Eyal Amir +

Has identifier  Theorem Proving with Structed Theories (Full Report) +

Institution  Knowledge Systems, AI Laboratory +

Ksl tr id  Theorem Proving with Structed Theories (Full Report) +

Month  April +

Number  Theorem Proving with Structed Theories (Full Report) +

Process note  NO +

Categories  KSL Technical Report +, Publication +, Technical Report +

 

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