Lassaad Cheikhrouhou

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The Ωmega proof development system [2] is the core of several related and well integrated research projects of the Ωmega research group. Ωmega is a mathematical assistant tool that supports proof development in mathematical domains at a user-friendly level of abstraction. It is a modular system with a central data structure and several complementary(More)
The reasoning power of human-oriented plan-based reasoning systems is primarily derived from their domain-speciic problem solving knowledge. Such knowledge is, however, intrinsically incomplete. In order to model the human ability of adapting existing methods to new situations we present in this work a declarative approach for representing methods, which(More)
Proof planning is a novel knowledge-based approach for proof construction, which supports the incorporation of mathematical knowledge and the common mathematical proof techniques of a particular mathematical eld. The diagonalization proof technique is a well-known method in theoretical computer science and in mathematics that originated with Can-tor, who(More)
Current semi-automated theorem provers are often advertised as " mathematical assistant systems ". However, these tools behave too passively and in a stereotypic way to meet this ambitious goal because they lack the capability to adequately take into account requirements on proof search control and user demands for their own actions. Motivated by this(More)
Most interactive proof development e n vironments are insuucient to handle the complexity of the information to be conveyed to the user and to support his orientation in large-scale proofs. In this paper we present a distributed client-server extension of the mega proof development system, focusing on the LU ILovely mega User Interface client. This(More)