The core of the meaning appears to rest in the two words
 for a "rock." If Matthew recorded that Christ used the same
word both for (1) the proper name of Peter and (2) the
foundation on which Christ says he will build the church,
then an interpretation follows that the foundation of the
church is Peter.
Because the Word of God as recorded in Matthew had to be
intelligible in its literalness for all people including the more
simple people of the early centuries of the Church, a more
involved interpretation demanding extensive hermeneutics
and linguistic acumen would be unwarranted. Ultimately, when
there are differing interpretations, the principle question then
becomes, "by what authority is the truth appealed."