The logic of Peirce algebras:

Abstract: "Peirce algebras combine sets, relations and various operations linking the two in a unifying setting. This paper offers a modal perspective on Peirce algebras. Using modal logic a characterization of the full Peirce algebras is given, as well as a finite axiomatization of their equat...

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Bibliographic Details
Main Author: Rijke, Maarten de (Author)
Format: Book
Language:English
Published: Amsterdam 1994
Series:Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS 94,67
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Summary:Abstract: "Peirce algebras combine sets, relations and various operations linking the two in a unifying setting. This paper offers a modal perspective on Peirce algebras. Using modal logic a characterization of the full Peirce algebras is given, as well as a finite axiomatization of their equational theory that uses so-called unorthodox derivation rules. In addition, the expressive power of Peirce algebras is analyzed through their connection with first-order logic, and the fragment of first- order logic corresponding to Peirce algebras is described in terms of bisimulations."
Physical Description:23 S.

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