# -*- coding: utf-8 -*-
# pytableaux, a multi-logic proof generator.
# Copyright (C) 2014-2023 Doug Owings.
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU Affero General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Affero General Public License for more details.
#
# You should have received a copy of the GNU Affero General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
from __future__ import annotations
from ..tools import group
from . import LogicType
from . import fde as FDE
from . import k3 as K3
from . import kfde as KFDE
from . import kk3 as KK3
from . import l3 as L3
class Meta(KK3.Meta):
name = 'KL3'
title = 'L3 with K modal'
description = 'Modal version of L3 based on K normal modal logic'
native_operators = KFDE.Meta.native_operators | L3.Meta.native_operators
category_order = 16
extension_of = ('L3')
class Model(KFDE.Model, L3.Model): pass
class System(FDE.System): pass
[docs]
class Rules(LogicType.Rules):
closure = K3.Rules.closure
groups = (
L3.Rules.groups[0] + group(
# non-branching rules
KFDE.Rules.PossibilityNegatedDesignated,
KFDE.Rules.PossibilityNegatedUndesignated,
KFDE.Rules.NecessityNegatedDesignated,
KFDE.Rules.NecessityNegatedUndesignated),
# branching rules
L3.Rules.groups[1],
# modal operator rules
*KFDE.Rules.groups[2:4],
# quantifier rules
*FDE.Rules.groups[-2:])
@classmethod
def _check_groups(cls):
for branching, group in zip(range(2), cls.groups):
for rulecls in group:
assert rulecls.branching == branching, f'{rulecls}'