Review of programming with higher-order logic by Dale Miller and Gopalan Nadathur

Higher-order equational logic programming is a paradigm which combines first-order equational and higher-order logic programming, where higher-order logic programming is based on a subclass of simply typed λ-terms, called higher-order patterns. Central ...

We propose a purely extensional semantics for higher-order logic programming. In this semantics program predicates denote sets of ordered tuples, and two predicates are equal iff they are equal as sets. Moreover, every program has a unique minimum ...