Minimizing disjunctive normal forms of pure first-order logic

Logic Journal of the IGPL 25 (3):325-347 (2017)
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Abstract

In contrast to Hintikka’s enormously complex distributive normal forms of first- order logic, this paper shows how to generate minimized disjunctive normal forms of first-order logic. An effective algorithm for this purpose is outlined, and the benefits of using minimized disjunctive normal forms to explain the truth conditions of propo- sitions expressible within pure first-order logic are presented.

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Timm Lampert
Humboldt-University, Berlin

References found in this work

The iconic logic of Peirce's graphs.Sun-Joo Shin - 2002 - Cambridge, Mass.: MIT Press.
Causes and events: Mackie on causation.Jaegwon Kim - 1971 - Journal of Philosophy 68 (14):426-441.
The Iconic Logic of Peirce's Graphs.Sun-joo Shin - 2003 - Transactions of the Charles S. Peirce Society 39 (1):127-133.
Distributive Normal Forms in the Calculus of Predicates.Jaakko Hintikka - 1953 - [Edidit Societas Philosophica;,] [Distribuit Akatesminen Kirjakauppa,].
On the logic of quantification.W. V. Quine - 1945 - Journal of Symbolic Logic 10 (1):1-12.

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