Journal of Symbolic Logic
- J. Symbolic Logic
- Volume 64, Issue 2 (1999), 859-880.
Unification in Intuitionistic Logic
We show that the variety of Heyting algebras has finitary unification type. We also show that the subvariety obtained by adding it De Morgan law is the biggest variety of Heyting algebras having unitary unification type. Proofs make essential use of suitable characterizations (both from the semantic and the syntactic side) of finitely presented projective algebras.
J. Symbolic Logic Volume 64, Issue 2 (1999), 859-880.
First available in Project Euclid: 6 July 2007
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 03B20: Subsystems of classical logic (including intuitionistic logic)
Secondary: 68T15: Theorem proving (deduction, resolution, etc.) [See also 03B35] 03B55: Intermediate logics 06D20: Heyting algebras [See also 03G25] 08B30: Injectives, projectives
Ghilardi, Silvio. Unification in Intuitionistic Logic. J. Symbolic Logic 64 (1999), no. 2, 859--880. https://projecteuclid.org/euclid.jsl/1183745815.