Löb's logic meets the μ-calculus

Albert Visser

doi:10.1007/11601548_3

Löb's logic meets the μ-calculus

Albert Visser^*

^*Corresponding author for this work

OFR - Theoretical Philosophy

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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 JonghSambin theorem.

Original language	English
Title of host publication	Processes, Terms and Cycles
Subtitle of host publication	Steps on the Road to Infinity - Essays Dedicated to Jan Willem Klop on the Occasion of His 60th Birthday
Publisher	Springer
Pages	14-25
Number of pages	12
ISBN (Print)	354030911X, 9783540309116
DOIs	https://doi.org/10.1007/11601548_3
Publication status	Published - 2005

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3838 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

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10.1007/11601548_3

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Visser, A. (2005). Löb's logic meets the μ-calculus. In Processes, Terms and Cycles: Steps on the Road to Infinity - Essays Dedicated to Jan Willem Klop on the Occasion of His 60th Birthday (pp. 14-25). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3838 LNCS). Springer. https://doi.org/10.1007/11601548_3

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Visser, A 2005, Löb's logic meets the μ-calculus. in Processes, Terms and Cycles: Steps on the Road to Infinity - Essays Dedicated to Jan Willem Klop on the Occasion of His 60th Birthday. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3838 LNCS, Springer, pp. 14-25. https://doi.org/10.1007/11601548_3

Löb's logic meets the μ-calculus. / Visser, Albert.
Processes, Terms and Cycles: Steps on the Road to Infinity - Essays Dedicated to Jan Willem Klop on the Occasion of His 60th Birthday. Springer, 2005. p. 14-25 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3838 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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Löb's logic meets the μ-calculus

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