=====Properties===== This page lists all the properties and their possible values that are currently part of some entry in this database. Click on a property to get a brief explanation. (Available soon) Click on the value of a property to see all classes that mention this property with the selected value. ^[[Classtype]] |[[varieties|variety]], [[quasivarieties|quasivariety]], [[universal classes|universal class]], [[first-order classes|first-order class]], [[second-order classes|second-order class]], higher-order class | ^[[Equational theory]] |decidable (PTIME, NPTIME, PSPACE, EXPTIME,...), undecidable, unspecified (so far) | ^[[Quasiequational theory]] |decidable (PTIME, NPTIME, PSPACE, EXPTIME,...), undecidable, unspecified (so far) | ^[[First-order theory]] |decidable (PTIME, NPTIME, PSPACE, EXPTIME,...), undecidable, unspecified (so far) | ^[[Locally finite]] |yes, no, unspecified (so far) | ^[[Residual size]] | $\kappa$ (cardinality), finite, unbounded | ^[[Congruence distributive]] |yes, no, unspecified (so far) | ^[[Congruence modular]] |yes, no, unspecified (so far) | ^[[Congruence n-permutable]] |yes $n=?$, no, unspecified (so far) | ^[[Congruence regular]] |yes, no, unspecified (so far) | ^[[Congruence e-regular]] |yes, no, unspecified (so far) | ^[[Congruence uniform]] |yes, no, unspecified (so far) | ^[[Congruence types]] |permutational (1), abelian (2), Boolean (3), lattice (4), semilattice (5) | ^[[Congruence extension property]] |yes, no, unspecified (so far) | ^[[Definable principal congruences]] |yes, no, unspecified (so far) | ^[[Equationally def. pr. cong.]] |yes, no, unspecified (so far) | ^[[Amalgamation property]] |yes, no, unspecified (so far) | ^[[Strong amalgamation property]] |yes, no, unspecified (so far) | ^[[Epimorphisms are surjective]] |yes, no, unspecified (so far) |