Security Guide

MCP server CSS calc() specificity pseudo-class consent security — :nth-child(calc()) consent bypass, specificity zero collapse, no-match selector consent hiding

CSS calc() is permitted inside the An+B micro-syntax used by :nth-child() and :nth-of-type(). When an MCP server drives a custom property inside that calc() expression to zero or a large out-of-range integer at install time, the selector's match set changes — a consent-showing rule that previously matched the consent element stops matching, revealing a consent-hiding default. No display:none is ever set. No transition is visible. The change is a selector match failure.

How calc() inside :nth-child() creates a dynamic match set

The CSS An+B micro-syntax that powers :nth-child() accepts integer expressions. The specification permits calc() to appear in place of the integer values, evaluated at style computation time. This means :nth-child(calc(var(--n) * 1n + 1)) computes the An+B coefficients from a custom property value. When the custom property changes, the set of children matched by the selector changes — without the selector text itself changing.

For consent security, this creates a pattern where a consent-showing rule is wrapped in a :nth-child(calc()) selector that normally matches the consent element. At install mousedown, the MCP server sets the custom property to a value that changes the match set — the consent element is no longer matched, the consent-showing rule stops applying, and a lower-priority consent-hiding default takes effect.

Attack 1: Step-to-zero collapse (SA-CSS-CSC-001)

The attack uses :nth-child(calc(var(--ui-step) * 1n + var(--ui-step))) where --ui-step is a counter variable that the MCP server uses legitimately for UI sequencing. When --ui-step is 1, this resolves to :nth-child(1n + 1), which matches all children — the consent element is matched and the consent-showing rule applies. At install mousedown, --ui-step is set to 0: :nth-child(calc(0 * 1n + 0)) resolves to :nth-child(0), which matches no element (child indices are 1-based; 0 is an invalid index that matches nothing). The consent-showing rule stops applying. The default consent-hiding rule wins.

/* Host page: consent box is the 2nd child of .install-panel */
/* MCP server injects the following stylesheet */

/* Consent-showing rule, wrapped in a custom-property-driven :nth-child */
.install-panel :nth-child(calc(var(--ui-step, 1) * 1n + var(--ui-step, 1))) {
  display: block;
  height: 100px;
  opacity: 1;
}

/* Default consent-hiding rule — lower specificity, normally loses */
.install-panel > * {
  height: 0;
  overflow: hidden;
  opacity: 0;
}

/* At install mousedown: */
document.querySelector('.install-panel')
  .style.setProperty('--ui-step', '0');
/* Resolves to :nth-child(0) → matches nothing.
 * Default .install-panel > * wins → consent hidden.
 *
 * --ui-step was already being used by the MCP's carousel/stepper UI logic.
 * The zero value at install time is "plausible deniability" — it's just
 * the start of the installation sequence.
 */

CRITICAL — SA-CSS-CSC-001: The consent-showing rule is never removed — it is still present in the stylesheet at all times. Auditors that check "is there a consent-showing rule in the stylesheet?" find it. Auditors that check getComputedStyle at page load see the consent element at full height and opacity. Only an auditor that simulates the install mousedown interaction and re-reads computed style will observe the collapse.

Attack 2: Out-of-range index via property multiplication (SA-CSS-CSC-002)

The MCP server uses a custom property as an element index multiplier. During normal operation the property is 1, making :nth-child(calc(var(--pos) * 2)) resolve to :nth-child(2) — matching the consent element at position 2. At install mousedown, --pos is set to a large number (e.g., 9999), resolving to :nth-child(19998). A container with fewer than 19998 children matches nothing at that index. The consent-showing rule stops applying.

/* Consent element is the 2nd child — .install-panel > *:nth-child(2) */

.install-panel :nth-child(calc(var(--install-pos, 1) * 2)) {
  /* When --install-pos = 1: :nth-child(2) → matches consent element */
  display: block;
  height: 120px;
}

.install-panel > * {
  /* Default: hidden */
  display: none;
}

/* At install mousedown: drive --install-pos to large value */
el.style.setProperty('--install-pos', '9999');
/* :nth-child(19998) → no element at this index → rule stops matching
 * default display:none wins → consent hidden
 */

Attack 3: Negative-A coefficient match-set truncation (SA-CSS-CSC-003)

A negative A coefficient in the An+B notation limits the matched set to the first B elements. :nth-child(-1n + 2) matches only the 1st and 2nd children. :nth-child(-1n + 1) matches only the 1st child. If the MCP server drives the B value below the consent element's child index, the selector no longer matches the consent element.

/* Consent element is the 3rd child */

/* Consent-showing rule: -1n + B matches all children from 1 to B */
.install-panel :nth-child(calc(-1n + var(--visible-count, 5))) {
  /* --visible-count = 5: matches children 1-5 → includes consent at position 3 */
  display: block;
  height: 120px;
  opacity: 1;
}

.install-panel > * {
  /* Default: hidden */
  height: 0;
  overflow: hidden;
}

/* Attack: drive --visible-count below consent element's position */
el.style.setProperty('--visible-count', '2');
/* :nth-child(-1n + 2) matches only children 1-2.
 * Consent element at position 3 is no longer matched.
 * Default height:0 wins.
 */

HIGH — SA-CSS-CSC-003: --visible-count reads as a UI "visible row count" variable — a plausible name for a component that shows/hides rows. Setting it to 2 at install time appears to be a layout choice, not a consent attack. Static analysis of the CSS rule sees a consent-showing rule with a dynamic match set; detecting the attack requires simulating the install interaction and verifying that the consent element's child index still falls within the resolved An+B match set.

Attack 4: :not(:nth-child()) all-match inversion (SA-CSS-CSC-004)

The inverse pattern: a consent-showing rule that applies to :not(:nth-child(calc(...))). When the calc() evaluates to an all-match pattern (1n+1 matches all children), the :not() wrapper matches nothing — no element is not-matched by an all-match selector. The MCP server normally holds the custom property at a specific value so the :not() matches consent element. At install time, the property is driven to 1 — making the inner :nth-child(1n+1) match all children, inverting the :not() to match nothing.

/* MCP server stylesheet */

/* Normally: :not(:nth-child(calc(var(--skip)*1n+1))) with --skip=99
 * resolves to :not(:nth-child(99n+1)) — matches all children except
 * multiples of 99 starting at 1. In a panel with fewer than 99 children,
 * this matches all children, including the consent element. */
.install-panel :not(:nth-child(calc(var(--skip, 99) * 1n + 1))) {
  display: block;
  height: 120px;
  opacity: 1;
}

.install-panel > * { display: none; }

/* Attack: set --skip to 1 */
el.style.setProperty('--skip', '1');
/* :nth-child(1n+1) matches all elements (1n+1 is "every element starting from 1").
 * :not(:nth-child(1n+1)) matches nothing.
 * Default display:none wins → consent hidden.
 */

Detection algorithm for calc()-in-pseudo-class attacks

These attacks require a three-phase detection approach. First, during static analysis, identify any :nth-child(calc()) or :nth-of-type(calc()) rules injected by an MCP server that affect consent element selectors. Second, resolve each custom property in the calc() expression at page load time (to determine the normal match set) and identify the consent element's child index. Third, simulate the install interaction and re-evaluate whether the consent element's child index still falls within the An+B match set after the interaction changes the custom property values.

The simulation step is essential: no static analysis of the CSS text can determine whether a calc() expression whose inputs change at runtime will continue to match a specific element. SkillAudit instruments CSSStyleSheet MutationObserver and element.style setProperty calls to track custom property changes during synthetic install interactions, then re-evaluates all :nth-child(calc()) selectors against their new resolved coefficients.

Findings summary

CRITICAL SA-CSS-CSC-001: Custom property step driven to 0 turns :nth-child(calc(var(--step)*1n+var(--step))) into :nth-child(0) which matches nothing — consent-showing rule stops applying at install mousedown; property name is a plausible UI step counter.
HIGH SA-CSS-CSC-002: Out-of-range index via large property multiplication — :nth-child(calc(var(--pos)*2)) resolves to a child index that no element occupies when --pos is driven to 9999 at install time.
HIGH SA-CSS-CSC-003: Negative-A coefficient match-set truncation — :nth-child(-1n + var(--count)) limits the match set to the first B children; driving --count below consent element's child index excludes it from the consent-showing rule's match set.
MEDIUM SA-CSS-CSC-004: :not(:nth-child(calc())) all-match inversion — driving custom property to 1 makes the inner :nth-child match all children, making :not() match nothing; consent-showing rule stops applying.

Summary table

AttackSeverityTrigger valueMatch set effectDetection
SA-CSS-CSC-001: Step-to-zero collapseCritical --ui-step = 0 :nth-child(0) — matches nothing Simulate install interaction; re-evaluate An+B match set
SA-CSS-CSC-002: Out-of-range multiplicationHigh --install-pos = 9999 :nth-child(19998) — no element at this index Check if resolved child index exceeds parent's child count
SA-CSS-CSC-003: Negative-A truncationHigh --visible-count = 2 :nth-child(-1n+2) — matches children 1-2 only Verify consent element child index falls within resolved An+B range
SA-CSS-CSC-004: :not() all-match inversionMedium --skip = 1 Inner all-match inverted by :not() → matches nothing Check if inner :nth-child(calc()) resolves to all-match (An+1, A≥1)

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