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// the map is: invalidated id -> invalidators

static DependentCache<MultiMap<S>> ai_invalidatedWebs_cache = new DependentCache(f ai_invalidatedWebs_calc, f cachedNodeIndex /*_changeCount*/);

static Set<S> ai_invalidatedWebs() {
  ret keys(ai_invalidatedWebs_cache!);
}

static MultiMap<S> ai_invalidatedWebs_calc() {
  //print("ai_invalidatedWebs_calc");
  ai_onNewOrRemovedWeb(f ai_invalidatedWebs_onNewWeb, f ai_invalidatedWebs_onRemovedWeb);
  ai_invalidatedWebs_cache.set(new MultiMap);
  Collection<Web> webs = allWebsFromCachedNodeIndex_uncached();
  print("Have " + nWebs(webs));
  for (Web web : webs)
    ai_invalidatedWebs_onNewWeb(web);
  //print("calc done");
  ret ai_invalidatedWebs_cache!;
}

svoid ai_invalidatedWebs_onNewWeb(Web web) {
  if (web.unverified) ret;
  lock ai_invalidatedWebs_cache.lock;
  new Matches m;
  for (WebNode n : web_search_dollarX(webFromTriple("$X", "is", "invalid"), web))
    if (web_match("Web *", n, m) && isGlobalID($1))
      ai_invalidatedWebs_cache->put($1, web.globalID);
}

svoid ai_invalidatedWebs_onRemovedWeb(Web web) {
  if (web.unverified) ret;
  lock ai_invalidatedWebs_cache.lock;
  new Matches m;
  for (WebNode n : web_search_dollarX(webFromTriple("$X", "is", "invalid"), web))
    if (web_match("Web *", n, m) && isGlobalID($1))
      ai_invalidatedWebs_cache->remove($1, web.globalID);
}