A program construction method based on γ-calculus is proposed: The problem to be solved is specified by first-order predicate logic, and a semantic verification program is constructed directly from the specification. We exploit this method in synthesizing the architectural specifications of multiagent systems (MAS) in γ-calculus based on the logic specifications of the MAS. By enabling the transformation from the logic specifications to operational specifications of MAS, this method allows the design of the MAS to be focused on the architectural definition level. It benefits the development of MAS by enabling logic deduction on behaviors of the MAS, and a design methodology in an incremental fashion.