An isothermal cascade reaction that exponentially amplifies pre-designed, single-stranded DNA as a sensor and signal amplifier module for DNA-based computing and molecular robotics was developed. Taking advantage of the finding that locked nucleic acid can suppress problematic ab initio DNA synthesis, up to million-fold amplification rates and concurrent hybridization were achieved at a physiological temperature in a single reactor. Although the effect of locked nucleic acid introduction to the templates was complicated, undesired leak DNA amplification was generally suppressed in the amplification reaction for distinct DNA sequences. The present reaction that senses one DNA as an input and generates a large amount of another DNA as an output, exhibiting a high correlation between the molecular concentration and the amplification time, is applicable for nucleic acid quantification.