A Machine-Oriented Logic Based on the Resolution Principle
Journal of the ACM (JACM)
Fixpoint approach to the theory of computation
Communications of the ACM
Toward automatic program synthesis
Communications of the ACM
An axiomatic basis for computer programming
Communications of the ACM
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A resolution-based theorem prover, incorporating a restricted higher-order unification algorithm, has been applied to the automatic synthesis of SNOBOL-4 programs. The set of premisses includes second-order assignment and iteration axioms derived from those of Hoare. Two examples are given of the synthesis of programs that compute elementary functions.