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On global induction mechanisms in a mu-calculus with explicit approximations
KTH, Tidigare Institutioner                               , Mikroelektronik och informationsteknik, IMIT.ORCID-id: 0000-0001-5432-6442
2003 (Engelska)Ingår i: Informatique théorique et applications (En ligne), ISSN 0988-3754, E-ISSN 1290-385X, Vol. 37, nr 4, s. 365-391Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

We investigate a Gentzen-style proof system for the first-order mu-calculus based on cyclic proofs, produced by unfolding fixed point formulas and detecting repeated proof goals. Our system uses explicit ordinal variables and approximations to support a simple semantic induction discharge condition which ensures the well-foundedness of inductive reasoning. As the main result of this paper we propose a new syntactic discharge condition based on traces and establish its equivalence with the semantic condition. We give an automata-theoretic reformulation of this condition which is more suitable for practical proofs. For a detailed comparison with previous work we consider two simpler syntactic conditions and show that they are more restrictive than our new condition.

Ort, förlag, år, upplaga, sidor
2003. Vol. 37, nr 4, s. 365-391
Nyckelord [en]
inductive reasoning, circular proofs, well-foundedness, global consistency condition, mu-calculus, approximants, local model checking
Identifikatorer
URN: urn:nbn:se:kth:diva-23303ISI: 000220666900006OAI: oai:DiVA.org:kth-23303DiVA, id: diva2:342001
Anmärkning
QC 20100525Tillgänglig från: 2010-08-10 Skapad: 2010-08-10 Senast uppdaterad: 2017-12-12Bibliografiskt granskad

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