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Algebra i logika, 2011, Volume 50, Number 4, Pages 533–546 (Mi al500)  
This article is cited in 8 scientific papers (total in 8 papers)

Quantification over propositional formulas in probability logic: decidability issues

S. O. Speranskii

Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (195 kB) Citations (8)
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Abstract: A language for reasoning about probability is generalized by adding quantifiers over propositional formulas to the language. Then relevant decidability issues are considered. In particular, the results presented demonstrate that a rather weak fragment of the new language has an undecidable validity problem. On the other hand, it is stated that a restricted version of the validity problem is decidable for $\forall\exists$-sentences.
Keywords: probability logic, quantification over propositions, decidability.
Received: 26.01.2011
Revised: 29.03.2011
English version:
Algebra and Logic, 2011, Volume 50, Issue 4, Pages 365–374
DOI: https://doi.org/10.1007/s10469-011-9148-3
Bibliographic databases:
Document Type: Article
UDC: 510.647+510.5
Language: Russian
Citation: S. O. Speranskii, “Quantification over propositional formulas in probability logic: decidability issues”, Algebra Logika, 50:4 (2011), 533–546; Algebra and Logic, 50:4 (2011), 365–374
Citation in format AMSBIB
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\by S.~O.~Speranskii
\paper Quantification over propositional formulas in probability logic: decidability issues
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\vol 50
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\pages 533--546
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\jour Algebra and Logic
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\pages 365--374
\crossref{https://doi.org/10.1007/s10469-011-9148-3}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
     
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