Name
Abstract | ||
|---|---|---|
Versions and extensions of intuitionistic and modal logic involving biHeyting and bimodal operators, the axiom of constant domains and Barcan's formula, are formulated as structured categories. Representation theorems for the resulting concepts are proved. Essentially stronger versions, requiring new methods of proof, of known completeness theorems are consequences. A new type of completeness result, with a topos theoretic character, is given for theories satisfying a condition considered by Lawvere (1992). The completeness theorems are used to conclude results asserting that certain logics are conservatively interpretable in others. |
Year | DOI | Venue |
|---|---|---|
1995 | 10.1016/0168-0072(93)00085-4 | Annals of Pure and Applied Logic |
Keywords | Field | DocType |
modal logic,satisfiability | Discrete mathematics,Combinatorics,Normal modal logic,Axiom,Categorical variable,Operator (computer programming),Modal logic,Completeness (statistics),Mathematics,Topos theory | Journal |
Volume | Issue | ISSN |
72 | 1 | 0168-0072 |
Citations | PageRank | References |
15 | 1.80 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael Makkai | 1 | 19 | 2.74 |
| G.E Reyes | 2 | 15 | 1.80 |