Formalizing Semantics with an Automatic Program Verifier
Abstract
A common belief is that formalizing semantics of programming languages requires the use of a proof assistant providing (1) a specification language with advanced features such as higher-order logic, inductive definitions, type polymorphism, and (2) a corresponding proof environment where higher-order and inductive reasoning can be performed, typically with user interaction. In this paper we show that such a formalization is nowadays possible inside a mostly-automatic program verification environment. We substantiate this claim by formalizing several semantics for a simple language, and proving their equivalence, inside the Why3 environment.
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