Abstract | ||
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In this paper, we present a new heuristic proving method for predicate logic, called the PCS method since it proceeds by cycling through various phases of proving (i.e. applying generic inference rules), computing (i.e. simplifying formulae), and solving (i.e. finding witness terms). Although not a complete proving calculus, it does produce very natural proofs for many propositions in elementary analysis like the limit theorems. Thus it appears to be a valuable contribution for many of the routine proofs encountered in exploring mathematical theorems. |
Year | DOI | Venue |
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2001 | 10.1007/3-540-45654-6_37 | EUROCAST |
Keywords | Field | DocType |
complete proving calculus,pcs prover,routine proof,new heuristic,natural proof,mathematical theorem,pcs method,generic inference rule,limit theorem,elementary analysis,predicate logic,inference rule | Quantifier elimination,Discrete mathematics,Computer science,Natural deduction,Theorema,Automated theorem proving,Mathematical proof,Rule of inference,Gas meter prover,Predicate logic | Conference |
Volume | ISSN | ISBN |
2178 | 0302-9743 | 3-540-42959-X |
Citations | PageRank | References |
5 | 0.59 | 3 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Bruno Buchberger | 1 | 847 | 168.26 |