<!DOCTYPE html><HTML lang="en"> <head><meta charset="utf-8"> <title>Kripke (Saul) - A Completeness Theorem in Modal Logic (Theo Todman's Book Collection - Paper Abstracts) </title> <link href="../../TheosStyle.css" rel="stylesheet" type="text/css"><link rel="shortcut icon" href="../../TT_ICO.png" /></head> <BODY> <CENTER> <div id="header"><HR><h1>Theo Todman's Web Page - Paper Abstracts</h1><HR></div><A name="Top"></A> <TABLE class = "Bridge" WIDTH=950> <tr><th><A HREF = "../../PaperSummaries/PaperSummary_00/PaperSummary_278.htm">A Completeness Theorem in Modal Logic</A></th></tr> <tr><th><A HREF = "../../Authors/K/Author_Kripke (Saul).htm">Kripke (Saul)</a></th></tr> <tr><th>Source: Journal of Philosophical Logic 24.1, March 1959, pp. 1-14</th></tr> <tr><th>Paper - Abstract</th></tr> </TABLE> </CENTER> <P><CENTER><TABLE class = "Bridge" WIDTH=400><tr><td><A HREF = "../../PaperSummaries/PaperSummary_00/PaperSummary_278.htm">Paper Summary</A></td><td><A HREF = "../../PaperSummaries/PaperSummary_00/PaperCitings_278.htm">Books / Papers Citing this Paper</A></td></tr></TABLE></CENTER></P> <hr><P><FONT COLOR = "0000FF"><U>Philosophers Index Abstract</U><FONT COLOR = "800080"><ol type="1">A model theoretic semantics is given for quantified s5 with identity (with a fixed domain of individuals), based on the intuitive idea that necessity is truth in all "possible worlds." A completeness theorem is stated and proved, and tableau proof procedures and simple decision procedures for propositional s5 are given. It is stated that the methods will be extended to other <a name="1"></a><A HREF="../../Notes/Notes_1/Notes_121.htm">modal</A><SUP>1</SUP> systems in future publications.</ol></FONT><FONT COLOR = "0000FF"><HR></P><a name="ColourConventions"></a><p><b>Text Colour Conventions (see <A HREF="../../Notes/Notes_10/Notes_1025.htm">disclaimer</a>)</b></p><OL TYPE="1"><LI><FONT COLOR = "0000FF">Blue</FONT>: Text by me; &copy; Theo Todman, 2018</li><LI><FONT COLOR = "800080">Mauve</FONT>: Text by correspondent(s) or other author(s); &copy; the author(s)</li></OL> <BR><HR><BR><CENTER> <TABLE class = "Bridge" WIDTH=950> <TR><TD WIDTH="30%">&copy; Theo Todman, June 2007 - August 2018.</TD> <TD WIDTH="40%">Please address any comments on this page to <A HREF="mailto:theo@theotodman.com">theo@theotodman.com</A>.</TD> <TD WIDTH="30%">File output: <time datetime="2018-08-03T00:10" pubdate>03/08/2018 00:10:46</time> <br><A HREF="../../Notes/Notes_10/Notes_1010.htm">Website Maintenance Dashboard</A></TD></TR> <TD WIDTH="30%"><A HREF="#Top">Return to Top of this Page</A></TD> <TD WIDTH="40%"><A HREF="../../Notes/Notes_11/Notes_1140.htm">Return to Theo Todman's Philosophy Page</A></TD> <TD WIDTH="30%"><A HREF="../../index.htm">Return to Theo Todman's Home Page</A></TD> </TR></TABLE></CENTER><HR> </BODY> </HTML>