Annals of Pure and Applied Logic 39 (2):131-174 (1988)

Abstract
This paper presents an algorithm that, given a finite set E of pairs of second-order monadic terms, returns a finite set U of ‘substitution schemata’ such that a substitution unifies E iff it is an instance of some member of U . Moreover, E is unifiable precisely if U is not empty. The algorithm terminates on all inputs, unlike the unification algorithms for second-order monadic terms developed by G. Huet and G. Winterstein. The substitution schemata in U use expressions which represent sets of terms that differ only in how many times designated strings of function constants follow themselves. The substitution schemata may contain unresolved ‘identity restrictions’; consequently, the members of U generally do not characterize all the unifiers of E in a completely explicit way. The algorithm is particularly useful for investigating the complexity of formal proofs
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DOI 10.1016/0168-0072(88)90015-2
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References found in this work BETA

A Machine-Oriented Logic Based on the Resolution Principle.J. A. Robinson - 1966 - Journal of Symbolic Logic 31 (3):515-516.

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Citations of this work BETA

The Undecidability of K-Provability.Samuel R. Buss - 1991 - Annals of Pure and Applied Logic 53 (1):75-102.
Bounded Arithmetic, Proof Complexity and Two Papers of Parikh.Samuel R. Buss - 1999 - Annals of Pure and Applied Logic 96 (1-3):43-55.
Generalizing Proofs in Monadic Languages.Matthias Baaz & Piotr Wojtylak - 2008 - Annals of Pure and Applied Logic 154 (2):71-138.

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