Abstract
In this paper, we prove that Löb’s Logic is a retract of the modal μ-calculus in a suitable category of interpretations. We show that various salient properties like decidability and uniform interpolation are preserved over retractions. We prove a generalization of the de Jongh-Sambin theorem.
Keywords
- Modal Logic
- Monotonic Operator
- Free Variable
- Propositional Logic
- Propositional Variable
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Visser, A. (2005). Löb’s Logic Meets the μ-Calculus. In: Middeldorp, A., van Oostrom, V., van Raamsdonk, F., de Vrijer, R. (eds) Processes, Terms and Cycles: Steps on the Road to Infinity. Lecture Notes in Computer Science, vol 3838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11601548_3
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DOI: https://doi.org/10.1007/11601548_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30911-6
Online ISBN: 978-3-540-32425-6
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