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Formal specs as sets of behaviors

Amazon’s recent announcement of their spec-driven AI tool, Kiro, inspired me to write a blog post on a completely unrelated topic: formal specifications. In particular, I wanted to write about how a formal specification is different from a traditional program. It took a while for this idea to really click in my own head, and I wanted to motivate some intuition here. In particular, there have been a number of formal specification tools that have been developed in recent years which use programmi