Context aware Calculation and Deduction Ring Equalities via Gröbner Bases in Isabelle

@inproceedings{Chaieb2007ContextAC,
  title={Context aware Calculation and Deduction Ring Equalities via Gr{\"o}bner Bases in Isabelle},
  author={Amine Chaieb and M Wenzel},
  year={2007}
}
We address some aspects of a proposed system architecture for mathematical assistants, integrating calculations and deductions by common infrastructure within the Isabelle theorem proving environment. Here calculations may refer to arbitrary extra-logical mechanisms, operating on the syntactic structure of logical statements. Deductions are devoid of any computational content, but driven by procedures external to the logic, following to the traditional “LCF system approach”. The latter is… CONTINUE READING
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