Alan Bundy

12th International Conference, Nancy, France, June 26-July 1, 1994 ; Proceedings

Automated Deduction - CADE-12

This volume contains the reviewed papers presented at the 12th International Conference on Automated Deduction (CADE-12) held at Nancy, France in June/July 1994. The 67 papers presented were selected from 177 submissions and document many of the most important research results in automated deduction since CADE-11 was held in June 1992. The volume is organized in chapters on heuristics, resolution systems, induction, controlling resolutions, ATP problems, unification, LP applications, special-purpose provers, rewrite rule termination, ATP efficiency, AC unification, higher-order theorem proving, natural systems, problem sets, and system descriptions.

12th International Conference on Automated Deduction, Nancy, France, June 26 - July 1, 1994. Proceedings.

Automated Deduction, Cade-12.

IJCAI-83

Proceedings of the Eighth International Joint Conference on Artificial Intelligence, Karlsruhe, 1983

David Basin

Dieter Hutter

Andrew Ireland

Rippling is a radically new technique for the automation of mathematical reasoning. It is widely applicable whenever a goal is to be proved from one or more syntactically similar givens. It was originally developed for inductive proofs, where the goal was the induction conclusion and the givens were the induction hypotheses. It has proved to be applicable to a much wider class of tasks, from summing series via analysis to general equational reasoning. The application to induction has especially important practical implications in the building of dependable IT systems, and provides solutions to issues such as the problem of combinatorial explosion. Rippling is the first of many new search control techniques based on formula annotation; some additional annotated reasoning techniques are also described here. This systematic and comprehensive introduction to rippling, and to the wider subject of automated inductive theorem proving, will be welcomed by researchers and graduate students alike.

Rippling: Meta-Level Guidance for Mathematical Reasoning

Alan Bundy

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