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We present the design of a new functional programming language, MLTS, thatuses the lambda-tree syntax approach to encoding bindings appearing within datastructures. In this approach, bindings never become free nor escape theirscope: instead, binders in data structures are permitted to move to binderswithin programs. The design of MLTS includes additional sites within programsthat directly support this movement of bindings. In order to formally definethe language's operational semantics, we present an abstract syntax for MLTSand a natural semantics for its evaluation. We shall view such naturalsemantics as a logical theory within a rich logic that includes both *nominalabstraction* and the *nabla-quantifier*: as a result, the natural semanticsspecification of MLTS can be given a succinct and elegant presentation. Wepresent a typing discipline that naturally extends the typing of core MLprograms and we illustrate the features of MLTS by presenting several examples.An on-line interpreter for MLTS is briefly described.

Functional programming with lambda-tree syntax