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Page 1: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction

Carnegie Mellon UniversityResearch Showcase

Department of Philosophy College of Humanities and Social Sciences

1-19-2002

Modal Operators and the Formal Dual of Birkhoff'sCompleteness TheoremSteve AwodeyCarnegie Mellon University

Jess HughesUniversity Nijmegen

This Technical Report is brought to you for free and open access by the College of Humanities and Social Sciences at Research Showcase. It has beenaccepted for inclusion in Department of Philosophy by an authorized administrator of Research Showcase. For more information, please [email protected].

Recommended CitationAwodey, Steve and Hughes, Jess, "Modal Operators and the Formal Dual of Birkhoff's Completeness Theorem" (2002). Departmentof Philosophy. Paper 145.http://repository.cmu.edu/philosophy/145

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Page 2: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
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Page 5: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 6: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
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Page 8: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
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Page 11: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 12: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 13: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 14: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 15: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 16: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 17: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 18: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 19: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 20: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 21: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 22: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 23: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 24: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 25: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 26: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
Page 27: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction
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Page 29: Modal operators and the formal dual of Birkhoffs completeness theorem This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction

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