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Theorem Proving in Higher Order Logics
This volume constitutes the proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2001) held 3–6 September 2001 in Edinburgh, Scotland. TPHOLs covers all aspects of theorem proving in higher order logics, as well as related topics in theorem proving and veri?cation. TPHOLs 2001 was collocated with the 11th Advanced Research Working Conference on Correct Hardware Design and Veri?cation Methods (CHARME 2001). This was held 4–7 September 2001 in nearby Livingston, Scotland at the Institute for System Level Integration, and a joint half-day session of talks was arranged for the 5th September in Edinburgh. An excursion to Traquair House and a banqu...
Efficiency in a Fully-expansive Theorem Prover
Abstract: "The HOL system is a fully-expansive theorem prover: Proofs generated in the system are composed of applications of the primitive inference rules of the underlying logic. This has two main advantages. First, the soundness of the system depends only on the implementations of the primitive rules. Second, users can be given the freedom to write their own proof procedures without the risk of making the system unsound. A full functional programming language is provided for this purpose. The disadvantage with the approach is that performance is compromised. This is partly due to the inherent cost of fully expanding a proof but, as demonstrated in this thesis, much of the observed ineffic...
On Efficiency in Theorem Provers which Fully Expand Proofs Into Primitive Inferences
Abstract: "Theorem Provers which fully expand proofs into applications of primitive inference rules can be made highly secure, but have beencriticized for being orders of magnitude slower than many other theorem provers. We argue that much of this relative inefficiency is due tothe way proof procedures are typically written and not all is inherent in the way the systems work. We support this claim by considering a proof procedure for linear arithmetic. We show that straightforward techniques can be used to significantly cut down the computation required. An order of magnitude improvement in the performance is shown by an implementation of these techniques."
Pattern Detection and Discovery
The collation of large electronic databases of scienti?c and commercial infor- tion has led to a dramatic growth of interest in methods for discovering struc- res in such databases. These methods often go under the general name of data mining. One important subdiscipline within data mining is concerned with the identi?cation and detection of anomalous, interesting, unusual, or valuable - cords or groups of records, which we call patterns. Familiar examples are the detection of fraud in credit-card transactions, of particular coincident purchases in supermarket transactions, of important nucleotide sequences in gene sequence analysis, and of characteristic traces in EEG records. Tools for the...
