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  The Horn Mu-calculus

Charatonik, W., McAllester, D., Niwinski, D., Podelski, A., & Walukiewicz, I. (1998). The Horn Mu-calculus. In V. Pratt (Ed.), Proceedings of the 13th Annual IEEE Symposium on Logic in Computer Science (LICS-98) (pp. 58-69). Los Alamitos, USA: IEEE.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-389F-5 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-38A0-0
Genre: Conference Paper

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 Creators:
Charatonik, Witold1, Author           
McAllester, David, Author
Niwinski, Damian1, Author           
Podelski, Andreas1, Author           
Walukiewicz, Igor, Author
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: The Horn $\mu$-calculus is a logic programming language allowing arbitrary nesting of least and greatest fixed points. The Horn $\mu$-programs can naturally expresses safety and liveness properties for reactive systems. We extend the set-based analysis of classical logic programs by mapping arbitrary $\mu$-programs into ``uniform'' $\mu$-programs. Our two main results are that uniform $\mu$-programs express regular sets of trees and that emptiness for uniform $\mu$-programs is EXPTIME-complete. Hence we have a nontrivial decidable relaxation for the Horn $\mu$-calculus. In a different reading, the results express a kind of robustness of the notion of regularity: alternating Rabin tree automata preserve the same expressiveness and algorithmic complexity if we extend them with pushdown transition rules (in the same way B\"uchi extended word automata to canonical systems).

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Language(s): eng - English
 Dates: 2010-03-121998
 Publication Status: Issued
 Pages: -
 Publishing info: Los Alamitos, USA : IEEE
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519670
Other: Local-ID: C1256104005ECAFC-4415BAA24C1D2DE2412566F80062D8AD-CharatonikMNPW-LICS98
 Degree: -

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Title: Untitled Event
Place of Event: Indianapolis, Indiana
Start-/End Date: 2003-07-08 - 2003-07-12

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Title: Proceedings of the 13th Annual IEEE Symposium on Logic in Computer Science (LICS-98)
Source Genre: Proceedings
 Creator(s):
Pratt, Vaughan, Editor
Affiliations:
-
Publ. Info: Los Alamitos, USA : IEEE
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 58 - 69 Identifier: ISBN: 0-8186-8506-9