Demystifying $μ$

Fuente: arXiv
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Bibliographic Details
Main Authors: Afshari, Bahareh, Leigh, Graham E., Turata, Guillermo Menèndez
Format: Preprint
Published: 2024
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author Afshari, Bahareh
Leigh, Graham E.
Turata, Guillermo Menèndez
author_facet Afshari, Bahareh
Leigh, Graham E.
Turata, Guillermo Menèndez
contents We explore the theory of illfounded and cyclic proofs for the propositional modal $μ$-calculus. A fine analysis of provability for classical and intuitionistic modal logic provides a novel bridge between finitary, cyclic and illfounded conceptions of proof and re-enforces the importance of two normal form theorems for the logic: guardedness and disjunctiveness.
format Preprint
id arxiv_https___arxiv_org_abs_2401_01096
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Demystifying $μ$
Afshari, Bahareh
Leigh, Graham E.
Turata, Guillermo Menèndez
Logic
Logic in Computer Science
We explore the theory of illfounded and cyclic proofs for the propositional modal $μ$-calculus. A fine analysis of provability for classical and intuitionistic modal logic provides a novel bridge between finitary, cyclic and illfounded conceptions of proof and re-enforces the importance of two normal form theorems for the logic: guardedness and disjunctiveness.
title Demystifying $μ$
topic Logic
Logic in Computer Science
url https://arxiv.org/abs/2401.01096