Theory links: Applications to automated theorem proving

Theory Links : Applications to Automated Theorem Proving NEIL

We develop the notion of theory t;nk, which is a generalization of ordinary link to a set of llterMs that are ~imultaneously unsatisfiable relative to a given set of clauses. We show that theory links may be 'activated' in much the same manner ~s ordinary links when inferencing with respect to the given set of clauses. Several link deletion results are shown to hold for 6heory links, and some e...

Problem-Oriented Applications of Automated Theorem Proving

In J. Calmet & C. Limongelli, ed. 4 International Symposium on Design and Implementation of Symbolic Computation Systems (DISCO’96), LNCS 1128, pp. 1–21, c ©Springer Verlag, 1996. Abstract. This paper provides an overall view of an approach to developing a coherent ATP-system which can deal with a variety of logics and with different applications in a tailored way. The paper also summarizes res...

Automated Theorem Proving in Loop Theory

In this paper we compare the performance of various automated theorem provers on nearly all of the theorems in loop theory known to have been obtained with the assistance of automated theorem provers. Our analysis yields some surprising results, e.g., the theorem prover most often used by loop theorists doesn’t necessarily yield the best performance.

Automated theorem proving - theory and practice

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Sorted Uniication and Its Applications to Automated Theorem Proving