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Extensional Higher-Order Logic Programming
[article]
2011
arXiv
pre-print
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 Herbrand model which is the greatest lower bound of all Herbrand models of the program and the least fixed-point of an immediate consequence operator. We also propose an SLD-resolution proof procedure which is proven sound and complete with respect to
arXiv:1106.3457v1
fatcat:qmgckht2ifbz3llo7kclbvjcxi