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In this article we show that the three equations known as commutativity,associativity, and the Robbins equation are a basis for the variety ofBoolean algebras. The problem was posed by Herbert Robbins in the 1930s. Theproof was found automatically by EQP, a theorem-proving program forequational...
A significant extension to a model-building method that we have beendeveloping for several years is presented. A quite complete, albeitreasonably short, description of the previous method is given in order tomake this article self-contained. The extension enables the handling ofPresburger...
We demonstrate the use of abstraction in aiding the construction of aninteresting and difficult example in a proof-checking system. Thisexperiment demonstrates that abstraction can make proofs easier tocomprehend and to verify mechanically. To support such proof checking, wehave developed a...
This article introduces a parallel search-pruning technique callednagging. Nagging is sufficiently general to be effective in a number ofdomains; here we focus on an implementation for first-order theorem proving,a domain both responsive to a very simple nagging model and amenable to...
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