Language Dependent Secure Bit Commitment

In this paper, we define two classes of languages, one induces opaque/transparent bit commitments and the other induces transparent/opaque bit commitments. As an application of opaque/transparent and transparent/opaque properties, we first show that if a language L induces an opaque/transparent bit commitment, then there exists a prover-practical perfect zero-knowledge proof for L, and we then show that if a language L induces a transparent/opaque bit commitment, then there exists a bounded round perfect zero-knowledge proof for L.