UNWIND_AUTO_CONV

unwindLib.UNWIND_AUTO_CONV : conv

Automatic unwinding of equations defining wire values in a standard device specification.

UNWIND_AUTO_CONV "?l1 ... lm. t1 /\ ... /\ tn" returns a theorem of the form:

   |- (?l1 ... lm. t1 /\ ... /\ tn) = (?l1 ... lm. t1' /\ ... /\ tn')

where tj' is tj rewritten with equations selected from the ti’s.

The function decides which equations to use for rewriting by performing a loop analysis on the graph representing the dependencies of the lines. By this means the term can be unwound as much as possible without the risk of looping. The user is left to deal with the recursive equations.

Failure

Fails if there is more than one equation for any line variable.

Example

#UNWIND_AUTO_CONV
# "(!(x:num). l1 x = (l2 x) - 1) /\
#  (!x. f x = (l2 (x+1)) + (l1 (x+2))) /\
#  (!x. l2 x = 7)";;
|- (!x. l1 x = (l2 x) - 1) /\
   (!x. f x = (l2(x + 1)) + (l1(x + 2))) /\
   (!x. l2 x = 7) =
   (!x. l1 x = 7 - 1) /\ (!x. f x = 7 + (7 - 1)) /\ (!x. l2 x = 7)

See also

unwindLib.UNWIND_ONCE_CONV, unwindLib.UNWIND_CONV, unwindLib.UNWIND_ALL_BUT_CONV, unwindLib.UNWIND_ALL_BUT_RIGHT_RULE, unwindLib.UNWIND_AUTO_RIGHT_RULE