elasticsearch - Understanding of bool filter -

according elasticsearch doc @ http://www.elastic.co/guide/en/elasticsearch/guide/master/combining-filters.html, bool filter can following:

{    "bool" : {       "must" :     [           a,           b        ],       "should" :   [           c,           d        ],       "must_not" : [           e,           f        ],    } } 

in meaning, equivalent following logic operations:

a , b , (c or d) , (not e) , (not f) 

is correct?

thanks!

as andrei pointed out in comments, correct understanding bool filter:

• must can translated (a , b)
• should can translated (c or d)
• must_not can translated ((not e) , (not f))

each 1 of them operation stands alone, can combined have shown.

(a , b) , (c or d) , ((not e) , (not f)) 

speaking in terms of boolean logic, reason it's not same thing (not (e , f)) because same saying ((not e) or (not f)). if e same saying field == 5 , f same saying field == 6, same field != 5 or field != 6, going true!

this leads looking @ different way:

• must_not can translated (not (e or f))

in other words, document not match if filter not match. leads simplified version of combined version:

(a , b) , (c or d) , (not (e or f))