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This paper presents a distributed agent-based automated theorem provingframework based on order-sorted first-order logic. Each agent in our frameworkhas its own knowledge base, communicating to its neighboring agent(s) usingmessage-passing algorithms. The communication language between agents isrestricted in such a manner that each agent can only communicate to itsneighboring agent(s) by means of their common language. In this paper weprovide a refutation-complete report procedure for automated theorem proving inorder-sorted first-order logic in a subclass of distributed agent-basednetworks. Rather than studying and evaluating the performance improvement ofthe automated theorem proving in order-sorted first-order logic using parallelor distributed agents, this paper focuses on building proofs in order-sortedfirst-order logic in a distributed manner under the restriction that agents mayreport their knowledge or observations only with their predefined language.

Distributed agent-based automated theorem proving in order-sorted first-order logic