| st2[r -- _length] .intval = st1[r1 -- _length] .intval, st[r -- _length] .intval = st1[r1 -- _length] .intval, st2[r -- _type] = st1[r1 -- _type], st[r -- _type] = st1[r1 -- _type], is_array(str, r, st), is_array(str, r1, st1), r -- _type ∈ st, r -- _type ∈ st2, r ∈ st, r ∈ st2, is_arraytype(st1[r1 -- _type] .type), ∀ i. ¬ i < 0 ∧ ¬ st1[r1 -- _length] .intval ≤ i ∧ ¬ is_referencevalue(st[r -- i ']) → st[r -- i '] = st1[r1 -- i '], ∀ i. ¬ i < 0 ∧ ¬ st1[r1 -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) → ps=(st[r -- i '] .refval, st, st1[r1 -- i '] .refval, st1), ∀ rk. rk ∈ st → rk ∈ st2 ∧ st[rk] = st2[rk], ∀ st1, r1, st2, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r, st) → ( st0 ⊆ st2 ∧ ps=(r0, st0, r1, st1) → junkref(str0, r0, st0) ∨ cyclic(str0, r0, st0) ∨ junkref(str0, r1, st1) ∨ cyclic(str0, r1, st1) ∨ ps=(r0, st2, r1, st1)) ⊦ 0 ≤ i0 ∧ i0 < st1[r1 -- _length] .intval ∧ ¬ is_referencevalue(st2[r -- i0 ']) → st2[r -- i0 '] = st1[r1 -- i0 '], r1 = jvmref, r = jvmref, cyclic(str, r1, st1), junkref(str, r1, st1), cyclic(str, r, st), junkref(str, r, st) |
st2[r -- _length] .intval = st1[r1 -- _length] .intval, st[r -- _length] .intval = st1[r1 -- _length] .intval, st2[r -- _type] = st1[r1 -- _type], st[r -- _type] = st1[r1 -- _type], i0 < st1[r1 -- _length] .intval, is_array(str, r, st), is_array(str, r1, st1), r -- _type ∈ st, r -- _type ∈ st2, r ∈ st, r ∈ st2, is_arraytype(st1[r1 -- _type] .type), 0 ≤ i0, 0 < st1[r1 -- _length] .intval, ∀ i. ¬ i < 0 ∧ ¬ st1[r1 -- _length] .intval ≤ i ∧ ¬ is_referencevalue(st[r -- i ']) → st[r -- i '] = st1[r1 -- i '], ∀ i. ¬ i < 0 ∧ ¬ st1[r1 -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) → ps=(st[r -- i '] .refval, st, st1[r1 -- i '] .refval, st1), ∀ rk. rk ∈ st → rk ∈ st2 ∧ st[rk] = st2[rk], ∀ st1, r1, st2, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r, st) → ( st0 ⊆ st2 ∧ ps=(r0, st0, r1, st1) → junkref(str0, r0, st0) ∨ cyclic(str0, r0, st0) ∨ junkref(str0, r1, st1) ∨ cyclic(str0, r1, st1) ∨ ps=(r0, st2, r1, st1)) ⊦ st2[r -- i0 '] = st1[r1 -- i0 '], r1 = jvmref, r = jvmref, is_referencevalue(st2[r -- i0 ']), cyclic(str, r1, st1), junkref(str, r1, st1), cyclic(str, r, st), junkref(str, r, st)
[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j])]]