Abstract
We develop an abstract proof calculus for logics whose sentences are 'Horn sentences' of the form: (∀X)H ⇒ c and prove an institutional generalization of Birkhoff completeness theorem. This result is then applied to the particular cases of Horn clauses logic, the 'Horn fragment' of preorder algebras, order-sorted algebras and partial algebras and their infinitary variants.
Original language | English |
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Pages (from-to) | 277-309 |
Number of pages | 33 |
Journal | Logica Universalis |
Volume | 2 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2008 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Logic
- Applied Mathematics