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Decidability of the unification problem for second-order languages with unary functional symbols. (English. Russian original) Zbl 0443.03009

Cybernetics 15, 735-741 (1980); translation from Kibernetika 1979, No. 5, 120-125 (1979).

MSC:

03B25 Decidability of theories and sets of sentences
03B35 Mechanization of proofs and logical operations
Full Text: DOI

References:

[1] J. A. Robinson, ?A machine-oriented logic based on the resolution principle,? J. ACM, 12, No. 1 (1965). · Zbl 0139.12303
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[10] T. Pietrzykowski and D. Jensen, ?A complete mechanization of ?-order logic type theory,? ACM Conf.,1 (1972).
[11] D. Jensen and T. Pietrzykowski, ?Mechanizing ?-order type theory through unification,? Theoret. Comp. Sci., 3, No. 2 (1976). · Zbl 0361.02020
[12] W. E. Gould, ?A matching procedure for ?-order logic,? Scientific Report AFCRL, No. 4, AD 646560 (1966).
[13] J. L. Darlington, ?A partial mechanization of second order logic,? Machine Intelligence, Edinburgh Univ.,6 (1971). · Zbl 0261.68041
[14] G. S. Makanin, ?Problem of solvability of equations in a free semigroup,? Mat. Sb., 103, No. 2 (1977). · Zbl 0396.20037
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