| vtbl1 ≠ ∅, is-encoded(# vtbl1 + # vtbl, subarray(buf, 0, ENCODED_NAT_SIZE)), is-encoded(vtbl0, buf), is-encoded-rec (vtbl1, subarray(buf, ENCODED_NAT_SIZE + # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE), # vtbl1 * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE))), is-encoded-rec(vtbl, subarray(buf, ENCODED_NAT_SIZE, # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE))), ENCODED_NAT_SIZE + (# vtbl1 + # vtbl) * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) ≤ # buf, vtbl ⊥ vtbl1, err0 = ESUCCESS → ENCODED_NAT_SIZE ≤ # buf ∧ n3 = ENCODED_NAT_SIZE, err0 = ESUCCESS ∨ ⌊err0⌋ ⊦ ⟪let v = ?, m = ? in {decode_volid#(ENCODED_NAT_SIZE + # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE), buf; v, n; err); n0 := ENCODED_NAT_SIZE + # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE); n5 := # vtbl1 + # vtbl; if err = ESUCCESS then {n0 := n0 + n; decode_nat#(n0, buf; m, n; err); if err = ESUCCESS then {n0 := n0 + n; vtbl[v] := m}}}; n1 := # vtbl1 - 1⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → (∃ vtbl2. vtbl ⊥ vtbl2 ∧ # vtbl2 + # vtbl = n5 ∧ # vtbl2 = n1 ∧ ENCODED_NAT_SIZE + (# vtbl2 + # vtbl) * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) ≤ # buf ∧ n0 = ENCODED_NAT_SIZE + # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) ∧ is-encoded(# vtbl2 + # vtbl, subarray(buf, 0, ENCODED_NAT_SIZE)) ∧ is-encoded-rec(vtbl, subarray(buf, ENCODED_NAT_SIZE, # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE))) ∧ is-encoded-rec (vtbl2, subarray (buf, ENCODED_NAT_SIZE + # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE), # vtbl2 * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE))))) ∧ n1 < # vtbl1) |
is-encoded(vtbl0, buf), is-encoded(# vtbl1 + # vtbl, subarray(buf, 0, ENCODED_NAT_SIZE)), is-encoded-rec(vtbl, subarray(buf, ENCODED_NAT_SIZE, # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE))), is-encoded-rec (vtbl1, subarray(buf, ENCODED_NAT_SIZE + # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE), # vtbl1 * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE))), ENCODED_NAT_SIZE + (# vtbl1 + # vtbl) * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) ≤ # buf, vtbl ⊥ vtbl1, err0 = ESUCCESS → ENCODED_NAT_SIZE ≤ # buf ∧ n3 = ENCODED_NAT_SIZE, err0 = ESUCCESS ∨ ⌊err0⌋ ⊦ ⟪decode_volid#(ENCODED_NAT_SIZE + # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE), buf; v, n; err); n0 := ENCODED_NAT_SIZE + # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE); n5 := # vtbl1 + # vtbl; if err = ESUCCESS then {n0 := n0 + n; decode_nat#(n0, buf; m, n; err); if err = ESUCCESS then {n0 := n0 + n; vtbl[v] := m}}; n1 := # vtbl1 - 1⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → (∃ vtbl2. vtbl ⊥ vtbl2 ∧ # vtbl2 + # vtbl = n5 ∧ # vtbl2 = n1 ∧ ENCODED_NAT_SIZE + (# vtbl2 + # vtbl) * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) ≤ # buf ∧ n0 = ENCODED_NAT_SIZE + # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) ∧ is-encoded(# vtbl2 + # vtbl, subarray(buf, 0, ENCODED_NAT_SIZE)) ∧ is-encoded-rec(vtbl, subarray(buf, ENCODED_NAT_SIZE, # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE))) ∧ is-encoded-rec (vtbl2, subarray (buf, ENCODED_NAT_SIZE + # vtbl * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE), # vtbl2 * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE))))) ∧ n1 < # vtbl1), vtbl1 = ∅