Combining theorem proving and symbolic mathematical computing
Author(s) -
Karsten Homann,
Jacques Calmet
Publication year - 1995
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-60156-2
DOI - 10.1007/3-540-60156-2_3
Subject(s) - computer science , automated theorem proving , symbolic computation , theoretical computer science , calculator , symbolic numeric computation , symbolic data analysis , representation (politics) , gas meter prover , algebraic number , algebra over a field , mathematical knowledge management , mathematical theory , knowledge representation and reasoning , computation , symbolic trajectory evaluation , knowledge base , algorithm , artificial intelligence , mathematics , mathematical proof , model checking , pure mathematics , procedural knowledge , law , mathematical analysis , operating system , geometry , quantum mechanics , political science , physics , politics
An intelligent mathematical environment must enable symbolic mathematical computation and sophisticated reasoning techniques on the underlying mathematical laws. This paper disscusses different possible levels of interaction between a symbolic calculator based on algebraic algorithms and a theorem prover. A high level of interaction requires a common knowledge representation of the mathematical knowledge of the two systems. We describe a model for such a knowledge base mainly consisting of type and algorithm schemata, algebraic algorithms and theorems.
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