tff(simple_K, logic, ($modal) == ([($domains) == ($varying),($designation) == ($rigid),($terms) == ($global),($modalities) == ($modal_system_K)])). tff(x_decl, type, x: $o). tff(y_decl, type, y: $o). tff(indiv_0_decl, type, indiv_0: $i). tff(world_0_decl, type, world_0: $world). tff(world_1_decl, type, world_1: $world). tff(model_worlds, interpretation-worlds, ((! [W: $world] : ( (W = world_0) | (W = world_1) )) & $distinct(world_0, world_1) & ($local_world = world_0) & (! [W: $world, V: $world]: $accessible_world(W, V)) )). tff(model_domains, interpretation-domains, ($in_world(world_0, ((! [DO: $i]: ( (DO = indiv_0) )) &(? [DO: $i]: (DO = indiv_0)))) & $in_world(world_1, ((! [DO: $i]: ( (DO = indiv_0) )) &(? [DO: $i]: (DO = indiv_0)))) )). tff(model_mapping, interpretation-mappings, ($in_world(world_0, (x & y)) & $in_world(world_1, (x & ~y)) )).