Browse OpenSSL punycode specs (12 of 19)

Proofs / OpenSSL punycode / The interface

api_a2ulabel_copy

With an output of at least one byte, a name with no label starting with xn-- (in any case) is copied as it is, with its NUL, when it fits ("If it does not start with xn--, it becomes U-label as is", crypto/punycode.c); else the result is 0. When the allocation fails, the result is -1.

spec
36 lines of C
with its headers
88 lines
status
Proved
12 of 19
On this page

The spec

The spec is the C program harness/api_a2ulabel_copy.c, 36 lines, shown whole as it is in the repository at 7556530. It includes harness/laws_common.h (52 lines). Its first comment states the property in full, with every bound.

C
// Law api_a2ulabel_copy: A name with no label that starts with the ACE prefix is copied as it is. For any string (any
// octets up to its NUL, any length the allocator provides) none of whose labels (the parts between '.') starts with
// "xn--" in any case, and any outlen >= 1, with an object of exactly outlen octets holding any values: when outlen is
// more than the string's length, ossl_a2ulabel returns 1, writes the string and its NUL, and leaves the later octets
// unchanged; else it returns 0. (When the allocation of its WPACKET record fails, it returns -1.)
#include "laws_common.h"

int main(void) {
	// Choose the inputs: any string, any outlen >= 1 and any outlen octets
	size_t len = upto(PTRDIFF_MAX - 1);
	unsigned char *in = any_bytes(len + 1);
	size_t outlen = upto(PTRDIFF_MAX);
	unsigned char *out = any_bytes(outlen);
	unsigned char *saved = copy_of(out, outlen);
	if (in == NULL || out == NULL || saved == NULL || outlen == 0)
		return 0;
	in[len] = 0;
	size_t n = 0;                                       // the string's length
	while (in[n] != 0)
		n++;
	for (size_t i = 0; i + 3 < n; i++)                  // no label starts with x, n, -, - in any case
		if (i == 0 || in[i - 1] == '.')
			gp_assume(!((in[i] == 'x' || in[i] == 'X') && (in[i + 1] == 'n' || in[i + 1] == 'N') &&
			            in[i + 2] == '-' && in[i + 3] == '-'));
	ossl_shim_zalloc_failed = 0;
	int r = ossl_a2ulabel((const char *) in, (char *) out, outlen);
	// Check. crypto/punycode.c: "Domain name has some parts consisting of ASCII chars joined with dot. ... If it does
	// not start with xn--, it becomes U-label as is."
	if (ossl_shim_zalloc_failed)
		gp_assert(r == -1);
	else if (outlen > n)
		gp_assert(r == 1 && bytes_eq(out, in, n + 1) && bytes_eq(out + n + 1, saved + n + 1, outlen - n - 1));
	else
		gp_assert(r == 0);
	return 0;
}
harness/laws_common.h, 52 lines
C
// laws_common.h: trivial helpers shared by the short laws (each law includes it once). No models, no algorithms.
#include <stdint.h>
#include <stdlib.h>
#include "quickproof.h"
#include "crypto/punycode.h"                         // ossl_punycode_decode, ossl_a2ulabel
// OpenSSL's allocator in this build (patch/shim/ossl_shim.c): set to 1 when CRYPTO_zalloc fails (malloc may fail at
// any call in the theorems), and the number of its blocks not freed yet.
extern int ossl_shim_zalloc_failed;
extern long ossl_shim_live;
static size_t upto(size_t max) {                     // any value from 0 to max
	size_t value = nondet_size();
	return value < max ? value : max;
}
static unsigned char *any_bytes(size_t n) {          // a new object of n arbitrary bytes (NULL if malloc fails)
	unsigned char *bytes = malloc(n);
	if (bytes != NULL)
		nondet_bytes(bytes, n);
	return bytes;
}
static unsigned int *any_uints(size_t n) {           // a new array of n arbitrary unsigned ints (NULL if malloc fails)
	unsigned int *values = malloc(n * sizeof(unsigned int));
	for (size_t i = 0; values != NULL && i < n; i++)
		values[i] = nondet_u32();
	return values;
}
static unsigned char *copy_of(const unsigned char *source, size_t n) {   // a new object holding source[0..n-1]
	if (source == NULL)                                                   // (NULL if source is or malloc fails)
		return NULL;
	unsigned char *copy = malloc(n);
	for (size_t i = 0; copy != NULL && i < n; i++)
		copy[i] = source[i];
	return copy;
}
static int bytes_eq(const unsigned char *a, const unsigned char *b, size_t n) {   // a[0..n-1] == b[0..n-1]
	for (size_t i = 0; i < n; i++)
		if (a[i] != b[i])
			return 0;
	return 1;
}
static int uints_eq(const unsigned int *a, const unsigned int *b, size_t n) {     // a[0..n-1] == b[0..n-1]
	for (size_t i = 0; i < n; i++)
		if (a[i] != b[i])
			return 0;
	return 1;
}
static size_t last_delimiter(const unsigned char *s, size_t n) {   // the position of the last '-', 0 if none
	size_t last = 0;
	for (size_t i = 0; i < n; i++)
		if (s[i] == '-')
			last = i;
	return last;
}

The theorem

QuickProof generated this statement from the spec, in src/contracts/api_a2ulabel_copy.v:

Rocq
Theorem api_a2ulabel_copy : harness_safe whole_prog.

src/contracts/laws.v states it on the spec's own program, whole_prog (the spec linked with the code under test), with its proof:

Rocq
Theorem api_a2ulabel_copy : harness_safe OpensslPunycode.contracts.api_a2ulabel_copy.whole_prog.
Proof. exact (proj1 OpensslPunycode.contracts.suite.suite). Qed.

Read as a statement about runs, it says that no run of the program has undefined behaviour or a failing check, for every value the spec can draw. That reading rests on VST's adequacy theorem, which is not yet instantiated in Rocq (formerly Coq) for QuickProof's environment.

The C files (units) its program links
  • crypto/punycode.c
  • patch/units/packet_ext.c
  • patch/shim/ossl_shim.c
  • quickproof/libc/libc.c

What it leaves out

  • What the first comment of the spec excludes, and its bounds.
  • Like every spec of this proof: termination (a run that never returns is not a counterexample), one thread, and binaries built by a compiler (the theorem is about the code as CompCert defines C for x86-64, in a release build, compiled against a small header shim instead of OpenSSL's generated headers).
  • The rest of OpenSSL: only crypto/punycode.c and the parts of crypto/packet.c it reaches are code under test.

The summary page says what the proof as a whole covers.

How it was proved

AI agents wrote the proof, and Rocq checks it. qp verify passes on this repository: this statement is the one generated from the spec at the contract commit, and its proof uses only Rocq's standard axioms and VST's abstract malloc library.