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math.LO2025
The fractal Goodstein principle
David Fernández-Duque, Andreas Weiermann
The original Goodstein process is based on writing numbers in hereditary -exponential normal form: that is, each number is written in some base as , with…
cs.LO2025
Tree Rewriting Calculi for Strictly Positive Logics
Sofía Santiago-Fernández, David Fernández-Duque, Joost J. Joosten
We study strictly positive logics in the language , which constructs formulas from , propositional variables, conjunction, and diamond modalities. We begin wit…