diff --git a/docs/testing/semantic-coverage-matrix.md b/docs/testing/semantic-coverage-matrix.md
index 41f3169d..aad5250c 100644
--- a/docs/testing/semantic-coverage-matrix.md
+++ b/docs/testing/semantic-coverage-matrix.md
@@ -624,3 +624,35 @@ transition elapsed time), Temporal3 [10] / Temporal2 [6] (offset resolution on a
 DST-transition date). `named_tz_offset`'s month approximation is load-bearing
 (an accurate last-Sunday-rule swap regressed -29), so DST needs a careful,
 empirical, per-zone effort + across-transition interval math. Deferred.
+
+## Coverage update (2026-06-01) — MATERIALIZE non-deterministic WITH/pre CTEs (Quantifier +18)
+
+`sql_builder.c`. Verified via the TCK harness (3758 -> 3776, rigorous full
+pass-set diff: zero regressions, +18; unit 944/944; functional clean):
+
+- **A WITH-projected value built with `rand()` is now stable across references.**
+  SQLite treats a multiply-referenced CTE as a view and re-evaluates its body per
+  reference, so a `rand()`-derived list got a DIFFERENT value at each use — e.g.
+  `none(x IN list WHERE p)` and `any(x IN list WHERE p)` over the same `list` saw
+  different random lists, breaking algebraic identities and yielding inconsistent
+  rows. `sql_cte`/`sql_pre_cte` now emit `AS MATERIALIZED (...)` when the CTE body
+  calls a non-deterministic function (detected by `RANDOM(`), forcing single
+  evaluation. Gated on `RANDOM(` and non-recursive only, so recursive/varlen and
+  ordinary CTEs are untouched. Fixes Quantifier9/11/12 algebraic-identity cluster
+  and related (+18 across Quantifier1-12).
+
+## Coverage update (2026-06-01) — property access on an entity inside a list (groundwork)
+
+`transform_expr_ops.c`. Verified via the TCK harness (rigorous full pass-set diff:
+zero regressions; unit 944/944; functional clean):
+
+- **`r.name` on a node/relationship that is a list element now reads `.properties`.**
+  A projected/list-element JSON value (e.g. the quantifier variable in
+  `any(r IN relationships(p) WHERE r.name = 'a')`) used top-level
+  `json_extract($.name)`, which is null for an entity (its props live under
+  `.properties`). The projected-JSON property branch now routes through
+  `_gql_dyn_prop`, which picks `$.properties.<key>` for entity-shaped objects and
+  `$.<key>` for plain maps. Correct standalone (the entity-in-list quantifier now
+  evaluates), though the Quantifier1-4 [8]/[9] scenarios additionally need varlen
+  `relationships(p)`/`nodes(p)` through an aggregating WITH + GROUP-BY-on-list
+  (deeper, deferred).
diff --git a/src/backend/transform/sql_builder.c b/src/backend/transform/sql_builder.c
index ff639800..11088548 100644
--- a/src/backend/transform/sql_builder.c
+++ b/src/backend/transform/sql_builder.c
@@ -537,7 +537,15 @@ void sql_cte(sql_builder *b, const char *name, const char *query, bool recursive
         dbuf_append(&b->cte, ", ");
     }
 
-    dbuf_appendf(&b->cte, "%s AS (%s)", name, query);
+    /* A CTE whose body calls a non-deterministic function (rand() ->
+     * RANDOM()) must be MATERIALIZED: SQLite otherwise treats a multiply-
+     * referenced CTE as a view and re-evaluates RANDOM() per reference, so a
+     * WITH-projected random list yields a DIFFERENT value at each use (e.g.
+     * none()/any() over it see different lists — Quantifier9/11/12). Gating on
+     * RANDOM() keeps recursive/UNWIND CTEs untouched. Non-recursive only
+     * (MATERIALIZED is invalid on a recursive CTE). */
+    bool materialize = !recursive && strstr(query, "RANDOM(") != NULL;
+    dbuf_appendf(&b->cte, "%s AS %s(%s)", name, materialize ? "MATERIALIZED " : "", query);
     b->cte_count++;
 }
 
@@ -555,7 +563,9 @@ void sql_pre_cte(sql_builder *b, const char *name, const char *query, bool recur
     if (b->pre_cte_count > 0) {
         dbuf_append(&b->pre_cte, ", ");
     }
-    dbuf_appendf(&b->pre_cte, "%s AS (%s)", name, query);
+    /* MATERIALIZED when the body is non-deterministic — see sql_cte(). */
+    bool materialize = !recursive && strstr(query, "RANDOM(") != NULL;
+    dbuf_appendf(&b->pre_cte, "%s AS %s(%s)", name, materialize ? "MATERIALIZED " : "", query);
     b->pre_cte_count++;
     if (recursive) b->pre_cte_recursive = true;
 }
diff --git a/src/backend/transform/transform_expr_ops.c b/src/backend/transform/transform_expr_ops.c
index dbcc97fc..b4f56201 100644
--- a/src/backend/transform/transform_expr_ops.c
+++ b/src/backend/transform/transform_expr_ops.c
@@ -803,7 +803,7 @@ int transform_property_access(cypher_transform_context *ctx, cypher_property *pr
            * parser. (Temporal5 [7].) */
           append_sql(ctx,
               "CASE WHEN json_valid(%s) AND instr(%s, '\"_iso8601\"') > 0 THEN _gql_duration_field(%s, '%s')"
-              " WHEN json_valid(%s) THEN json_extract(%s, '$.%s')"
+              " WHEN json_valid(%s) THEN _gql_dyn_prop(%s, '%s')"
               " ELSE _gql_temporal_field(%s, '%s') END",
               alias, alias, alias, pn,
               alias, alias, pn,