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sav08:fol_with_update_expressions [2008/04/09 00:16] vkuncak |
sav08:fol_with_update_expressions [2008/04/09 00:17] vkuncak |
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=== Function Update === | === Function Update === | ||
- | f (a:=b)(x) = ++|ite(x=a,b,f(x))++ | + | f (a:=b)(x) |
- | f ((a,b):=c)(x,y) = ++|ite(x=a & y=b, c,f(x,y))++ | + | f ( (a,b) :=c)(x,y) |
=== Sets === | === Sets === | ||
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f(a:=b)(x) = ++|ite(x=a,b,f(x))++ | f(a:=b)(x) = ++|ite(x=a,b,f(x))++ | ||
- | f((a,b):=c)(x,y) = ++|ite(x=a & y=b, c,f(x,y))++ | + | f ( (a,b):=c )(x,y) = ++|ite(x=a & y=b, c,f(x,y))++ |
z=ite(p,x,y) $\leftrightarrow$ ++| (p & z=x) | (~p & z=y) ++ | z=ite(p,x,y) $\leftrightarrow$ ++| (p & z=x) | (~p & z=y) ++ |