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Algorithmic Logic by Mirkowska Salwicka%2c Grażyna

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1Stability And Paradox In Algorithmic Logic

“Stability And Paradox In Algorithmic Logic” Metadata:

  • Title: ➤  Stability And Paradox In Algorithmic Logic
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 14.79 Mbs, the file-s for this book were downloaded 81 times, the file-s went public at Fri Sep 20 2013.

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2The Algorithmic Logic

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The Algorithmic Logic

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  • Title: The Algorithmic Logic
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 3.91 Mbs, the file-s for this book were downloaded 71 times, the file-s went public at Thu Jul 06 2023.

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3Algorithmic Correspondence And Completeness In Modal Logic. I. The Core Algorithm SQEMA

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Modal formulae express monadic second-order properties on Kripke frames, but in many important cases these have first-order equivalents. Computing such equivalents is important for both logical and computational reasons. On the other hand, canonicity of modal formulae is important, too, because it implies frame-completeness of logics axiomatized with canonical formulae. Computing a first-order equivalent of a modal formula amounts to elimination of second-order quantifiers. Two algorithms have been developed for second-order quantifier elimination: SCAN, based on constraint resolution, and DLS, based on a logical equivalence established by Ackermann. In this paper we introduce a new algorithm, SQEMA, for computing first-order equivalents (using a modal version of Ackermann's lemma) and, moreover, for proving canonicity of modal formulae. Unlike SCAN and DLS, it works directly on modal formulae, thus avoiding Skolemization and the subsequent problem of unskolemization. We present the core algorithm and illustrate it with some examples. We then prove its correctness and the canonicity of all formulae on which the algorithm succeeds. We show that it succeeds not only on all Sahlqvist formulae, but also on the larger class of inductive formulae, introduced in our earlier papers. Thus, we develop a purely algorithmic approach to proving canonical completeness in modal logic and, in particular, establish one of the most general completeness results in modal logic so far.

“Algorithmic Correspondence And Completeness In Modal Logic. I. The Core Algorithm SQEMA” Metadata:

  • Title: ➤  Algorithmic Correspondence And Completeness In Modal Logic. I. The Core Algorithm SQEMA
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 16.06 Mbs, the file-s for this book were downloaded 131 times, the file-s went public at Sat Sep 21 2013.

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4ALGORITHMIC DIVISION IN LOGIC

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"ALGORITHMIC DIVISION IN LOGIC" is an article from The Journal of Speculative Philosophy, Volume 13 . View more articles from The Journal of Speculative Philosophy . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-25666112

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  • Title: ALGORITHMIC DIVISION IN LOGIC
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The book is available for download in "texts" format, the size of the file-s is: 4.05 Mbs, the file-s for this book were downloaded 156 times, the file-s went public at Wed Mar 20 2013.

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5The Algorithmic Logic

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The Algorithmic Logic

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The book is available for download in "texts" format, the size of the file-s is: 6.30 Mbs, the file-s for this book were downloaded 67 times, the file-s went public at Wed Jul 05 2023.

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6Algorithmic Logic

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The Algorithmic Logic

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The book is available for download in "texts" format, the size of the file-s is: 960.37 Mbs, the file-s for this book were downloaded 58 times, the file-s went public at Thu Apr 21 2022.

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