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 \(\mathcal{L}^ \times\)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.
This research was partially funded by the Italian IASI-CNR (coordinated project log(SETA)) and by MURST (PGR-2000—Automazione del ragionamento in teorie insiemistiche).
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Formisano, A., Omodeo, E.G., Temperini, M. (2001). Instructing Equational Set-Reasoning with Otter. In: Goré, R., Leitsch, A., Nipkow, T. (eds) Automated Reasoning. IJCAR 2001. Lecture Notes in Computer Science, vol 2083. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45744-5_12
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DOI: https://doi.org/10.1007/3-540-45744-5_12
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