Differences

This shows you the differences between two versions of the page.

--- sav07_homework_1 [2007/03/17 19:40]
vkuncak
+++ sav07_homework_1 [2007/04/12 21:34]
vkuncak
@@ Line 1: / Line 1: @@
 ====== SAV07 Homework 1 ======
-Here is the {{hw1.pdf|Homework 1 PDF}}.
+Here is the {{hw1.pdf|Homework 1 PDF}} (with some corrected typos).
-Here are some example ocaml programs that may help you get started with using ocaml (but see also http://caml.inria.fr/ )
+Here are some example ocaml programs that may help you get started with using ocaml (but see also http://caml.inria.fr/ ).  Please remove the .txt extension
-  * {{formulas.ml}}
+when saving the file.
-  * {{maps.ml}}
+  * {{formulas.ml.txt}}
+  * {{maps.ml.txt}}
+Note that you will need to use a slightly different syntax tree compared to one in formulas.ml, because the quantifiers in your homework are bounded.
+See also [[Notes on Context-Free Grammars]].
+Here is [[SAV07 Homework 1 Solution]] for the theoretical part.
+NOTE: A formula of the form
+  forall x < 0. F
+should always evaluate to true when x ranges over non-negative integers, regardless of F.  Namely, there are no such non-negative x, so this is the case of a bounded quantifier over an empty set.  This formula is trivially true because it is equivalent to
+  forall x. false -> F
-[[SAV07 Homework 1 Solution]] will be available only after the due date.