The Vanilla Sequent Calculus is Call-by-Value

Existing Curry-Howard interpretations of call-by-value evaluation for the $\lambda$-calculus involve classical logic or linear logic, despite the fact that call-by-value was introduced in an intuitionistic setting without linear features. This paper shows that the most basic sequent calculus for minimal intuitionistic logic -- dubbed here vanilla -- can naturally be seen as a logical interpretation of call-by-value evaluation. This is obtained by establishing mutual simulations with a well-known formalism for call-by-value evaluation.