diff -r 3a2a47f967d4 -r e10eb390c103 Cut/LJT-plugin.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Cut/LJT-plugin.html Thu Mar 15 15:50:18 2012 +0000 @@ -0,0 +1,161 @@ + + + Christian Urban + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
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Cut-Elimination in Herbelin's calculus for intuitionistic logic

+ +Recommended reading for this applet is a paper by Dyckhoff and Urban, +[ps, + pdf]. +Mayor difference between the standard sequent calculus and Herbelin's sequent calculus +is that in the cut-free fragment "there are no semantically +trivial permutations of the inference rules, where by 'semantically trivial' we mean +'interpreted in NJ as true equations between to (normal) deductions'" +(from [ps]). +
+How to use it?  +If your browser is working correctly, then you will see a window +with two examples (more added if you suggest some). When pressing on +one of the buttons, a new window will pop up. What follows +is a brief explanation of all the features available in this window. +
+Buttons and Keys +
    +
  • The buttons +        + `fire' cuts (not all cuts necessarily have such buttons). +
  • If you use the left mouse button for pressing on those buttons, + then the new proof will appear inside the window. Whereas if you use + the right mouse button, a new window will pop up and + the new proof will be displayed in this window. Use the right mouse + button if you want to compare a proof and its reduct. +
  • The keys Page-up and Page-down zoom in or out of a proof + respectively. +
+
+Menu Functions + +
    +
  • Zoom in and Zoom out work like Page-up and Page-down, + respectively. +
  • Unicode  If this radiobutton is switched on, logic symbols + are displayed in unicode, otherwise in ascii. (This is for the + poor guys who have a browser and/or operating system which cannot handle + unicode.) +
  • Labels  As mentioned earlier the sequents are composed of + two sets of labelled + formulae, not multisets of formulae as in the standard formulation + of sequent calculus. Enabling this radiobutton causes that labels are + drawn. Use this when you are unsure where implicit contractions are. +
  • Compact printing  In the paper referred above weakening + is done only in axioms. If this radiobutton is switched on (default), + then, in order to save space, formulae are weakened as soon as possible. +
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+ + + + + + + + + + + +<p><blink><FONT COLOR="#800000"> +Applet should appear in a new window, but you don't have Java enabled in your browser. +</FONT></blink><p> + + + + + + + + + + + +
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+ +Last modified: Sat Mar 3 05:17:20 CET 2007 + + +