Instructing equational set-reasoning with otter

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Abstract

An experimentation activity in automated set-reasoning is reported. The methodology adopted is based on an equational re-engineering of ZF set theory within the ground formalism Lx developed by Tarski and Givant. On top of a kernel axiomatization of map algebra we develop a layered formalization of basic set-theoretical concepts. A first-order theorem prover is exploited to obtain automated certification and validation of this layered architecture. © Springer-Verlag Berlin Heidelberg 2001.

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Formisano, A., Omodeo, E. G., & Temperini, M. (2001). Instructing equational set-reasoning with otter. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2083 LNAI, pp. 152–167). Springer Verlag. https://doi.org/10.1007/3-540-45744-5_12

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