This paper introduces reFLect, a functional programming language with reflection features intended for applications in hardware design and verification. The reFLect language is strongly typed and similar to ML, but has quotation and antiquotation constructs. These may be used to construct and decompose expressions in the reFLect language itself. The paper motivates and presents the syntax and type system of this language, which brings together a new combination of pattern-matching and reflection features targeted specifically at our application domain. It also gives an operational semantics based on a novel use of contexts as expression constructors, and it presents a scheme for compiling reFLect programs using the same context mechanism.