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In this paper we address the problem of automated classification of isolates, i.e., the problem of determining the family of genomes to which a given genome belongs. Additionally, we address the problem of automated unsupervised hierarchical clustering of isolates according only to their statistical substring properties. For both of these problems we… (More)

The area method for Euclidean constructive geometry was proposed by Chou, Gao and Zhang in the early 1990's. The method can efficiently prove many non-trivial geometry theorems and is one of the most interesting and most successful methods for automated theorem proving in geometry. The method produces proofs that are often very concise and human-readable.… (More)

Execution of most of the modern DPLL-based SAT solvers is guided by a number of heuristics. Decisions made during the search process are usually driven by some fixed heuristic policies. Despite the outstanding progress in SAT solving in recent years, there is still an appealing lack of techniques for selecting policies appropriate for solving specific input… (More)

The efficient combining and augmenting of decision procedures are often very important for a successful use of theorem provers. There are several schemes for combining and augmenting decision procedures; some of them support handling uninterpreted functions, use of available lemmas, and the like. In this paper we introduce a general setting for describing… (More)

We present a theorem prover ArgoCLP based on coherent logic that can be used for generating both readable and formal (machine verifiable) proofs in various theories, primarily geometry. We applied the prover to various axiomatic systems and proved tens of theorems from standard university textbooks on geometry. The generated proofs can be used in different… (More)

We present gclc/Wingclc— a tool for visualizing geometrical (and not only geometrical) objects and notions, for teaching/studying mathematics, and for producing mathematical illustrations of high quality. gclc uses a language gc for declarative representation of figures and for storing mathematical contents of visual nature in textual form. In gclc, there… (More)

GeoThms is a web-based framework for exploring geometrical knowledge that integrates Dynamic Geometry Software (DGS), Automatic Theorem Provers (ATP), and a repository of geometrical constructions, figures and proofs. The GeoThms users can easily use/browse through existing geometrical content and build new contents. In this paper we describe GeoThms… (More)