Validating Mathematical Theorems and Algorithms with RISCAL

  • Wolfgang Schreiner
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11006)


RISCAL is a language for describing mathematical algorithms and formally specifying their behavior with respect to user-defined theories in first-order logic. This language is based on a type system that constrains the size of all types by formal parameters; thus a RISCAL specification denotes an infinite class of models of which every instance has finite size. This allows the RISCAL software to fully automatically check in small instances the validity of theorems and the correctness of algorithms. Our goal is to quickly detect errors respectively inadequacies in the formalization by falsification in small model instances before attempting actual correctness proofs for the whole model class.


Formal specification Falsification Model checking 


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Research Institute for Symbolic Computation (RISC)Johannes Kepler UniversityLinzAustria

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