By Luis M. Laita, Luis de Ledesma, Eugenio Roanes-Lozano, Alberto Brunori (auth.), John A. Campbell, Eugenio Roanes-Lozano (eds.)
This ebook constitutes the completely refereed post-proceedings of the foreign convention on man made Intelligence and Symbolic Computation, AISC 2000, held in Madrid, Spain in July 2000.
The 17 revised complete papers awarded including 3 invited papers have been conscientiously reviewed and revised for inclusion within the publication. one of the themes addressed are automatic theorem proving, logical reasoning, mathematical modeling of multi-agent structures, specialist structures and computer studying, computational arithmetic, engineering, and commercial functions.
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Extra resources for Artificial Intelligence and Symbolic Computation: International Conference AISC 2000 Madrid, Spain, July 17–19,2000 Revised Papers
Sample text
An OMDoc representation of an example Finally, there are OMDoc elements that support structuring the knowledge in theories. 1. Following Hutter’s development graph [Hut99], we can use the knowledge about theories to establish so-called inclusion morphisms that establish the source theory as included (modulo renaming by a morphism) in the target theory. This information can be used to add further structure to the theory graph and help maintain the knowledge base with respect to changes of individual theories.
Theories have been formalized as collections of – signature declarations (the symbols used in a particular theory, together with optional typing information). – axioms (the logical laws of the theory). – theorems; these are in fact logically redundant, since they are entailed by the axioms. In software engineering a closely related concept is known under the label of an (algebraic) specification, which is used to specify the intended behavior of programs. There, the concept of a theory (specification) is much more elaborated to support the structured development of specifications.
OpenMath is the designated extension mechanism for MathMl beyond K-12 mathematics. Therefore, it is not a limitation of the presentational capabilities to use OpenMath for marking up mathematical objects. org for Mozilla, the open source version), MathMl will be the primary presentation language for OMDoc. Since OMDoc is an extension of OpenMath, it inherits its connections to Xml and MathMl. The structure of OMDoc documents is defined in the OMDoc document type definition DTD (cf. org/ilo/omdoc, where you can also find worked examples (including part of a mathematical textbook [BS82] and an interactive book [CCS99] (IDA))).