Hi Lu,
Both of your goals can be solved with:
SIMP_TAC std_ss [ALIGNED_INTRO,ALIGNED_CLAUSES]
See HOL/examples/machine-code/hoare-triple/addressScript.sml.
ALIGNED is another useful theorem about alignment, e.g.
> REWRITE_CONV [ALIGNED] ``ALIGNED (a + 12w)``;
val it =
|- ALIGNED (a + 12w) <=> ALIGNED a
: thm
> REWRITE_CONV [ALIGNED] ``ALIGNED (a + 11w)``;
val it =
|- ALIGNED (a + 11w) <=> ALIGNED (a + 3w)
: thm
> REWRITE_CONV [ALIGNED] ``ALIGNED (a - 11w)``;
val it =
|- ALIGNED (a - 11w) <=> ALIGNED (a - 3w)
: thm
Magnus
On 9 April 2010 04:20, Lu Zhao <[email protected]> wrote:
> Hi,
>
> How can I proceed to prove this seemingly very simple expression? I'm
> not familiar with word proofs.
>
> ``(0x3w && (x :bool[32]) + 0x4w = 0x0w) <=> (0x3w && x = 0x0w)``
>
> or more general,
>
> ``(0x3w && (x :bool[32]) + y * 0x4w = 0x0w) <=> (0x3w && x = 0x0w)``
>
> Any suggestion is appreciated.
>
> Thanks.
> Lu
>
>
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