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updated comments in contact_algebras Hierarchy with single quotes

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carmenchui committed Jun 20, 2018
1 parent b66712d commit e2b105166c81aa5422cfaf99e25b20b34ef3a721
@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/C-Ext.clif

(cl-comment "C-Ext")
(cl-comment 'C-Ext')

(forall (x y)
(if
@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/C4.clif

(cl-comment "C4")
(cl-comment 'C4')

(forall (x y z)
(if
@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/C5prime.clif

(cl-comment "C5prime")
(cl-comment 'C5prime')

(forall (x z)
(if
@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/Conn.clif

(cl-comment "Con: Connection axiom (connection of an entity with its complement)")
(cl-comment 'Con: Connection axiom (connection of an entity with its complement)')

(forall (x)
(if (and
@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/Dis.clif

(cl-comment "Dis")
(cl-comment 'Dis')

(forall (x)
(if
@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/atomless_boolean_contact_algebra.clif

(cl-comment "atomless Boolean Contact algebra axioms")
(cl-comment 'atomless Boolean Contact algebra axioms')

(cl-imports http://colore.oor.net/contact_algebras/boolean_contact_algebra.clif)

@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/boolean_contact_algebra.clif

(cl-comment "Boolean Contact algebra axioms")
(cl-comment 'Boolean Contact algebra axioms')

(cl-imports http://colore.oor.net/contact_algebras/contact_algebra.clif)

@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/contact_algebra.clif

(cl-comment "axioms of a (pseudocomplemented) contact algebra")
(cl-comment 'axioms of a (pseudocomplemented) contact algebra')

(cl-imports http://colore.oor.net/contact_algebras/distributive_contact_algebra.clif)

@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/distributive_contact_algebra.clif

(cl-comment "Axioms of a distributive contact algebra which satifies the sum axiom C4")
(cl-comment 'Axioms of a distributive contact algebra which satifies the sum axiom C4')

(cl-imports http://colore.oor.net/contact_algebras/weak_contact_algebra.clif)

@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/ewbca.clif

(cl-comment "Extensionsal Weak Boolean Contact algebra axioms (as defined in Hahmann and Gruninger, Notre Dame J. Formal Logic 2013)")
(cl-comment 'Extensionsal Weak Boolean Contact algebra axioms (as defined in Hahmann and Gruninger, Notre Dame J. Formal Logic 2013)')

(cl-imports http://colore.oor.net/contact_algebras/wbca.clif)

@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/extensional_weak_boolean_contact_algebra.clif

(cl-comment "Extensional Weak Boolean Contact algebra axioms")
(cl-comment 'Extensional Weak Boolean Contact algebra axioms')

(cl-imports http://colore.oor.net/contact_algebras/extensional_weak_contact_algebra.clif)

@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/extensional_weak_contact_algebra.clif

(cl-comment "axioms for extensional weak contact algebras")
(cl-comment 'axioms for extensional weak contact algebras')

(cl-imports http://colore.oor.net/contact_algebras/weak_contact_algebra.clif)

@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/gbca.clif

(cl-comment "Generalized Weak Boolean Contact algebra axioms (as defined in Hahmann and Gruninger, Notre Dame J. Formal Logic 2013)")
(cl-comment 'Generalized Weak Boolean Contact algebra axioms (as defined in Hahmann and Gruninger, Notre Dame J. Formal Logic 2013)')

(cl-imports http://colore.oor.net/contact_algebras/wbca.clif)

@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/generalized_boolean_contact_algebra.clif

(cl-comment "Generalized Boolean Contact algebra axioms")
(cl-comment 'Generalized Boolean Contact algebra axioms')

(cl-imports http://colore.oor.net/contact_algebras/contact_algebra.clif)

@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/notC4.clif

(cl-comment "notC4")
(cl-comment 'notC4')

(exists (x y z)
(and
@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/NotTriv.clif

(cl-comment "non-trivial model")
(cl-comment 'non-trivial model')

(exists (y)
(and
@@ -11,7 +11,7 @@

(cl-text http://colore.oor.net/contact_algebras/oca.clif

(cl-comment "equational axiomatization of orthocomplemented contact algebra (as defined in Hahmann and Gruninger, Notre Dame J. Formal Logic 2013)")
(cl-comment 'equational axiomatization of orthocomplemented contact algebra (as defined in Hahmann and Gruninger, Notre Dame J. Formal Logic 2013)')

(cl-imports http://colore.oor.net/contact_algebras/weakest_contact_algebra.clif)

@@ -10,11 +10,11 @@

(cl-text http://colore.oor.net/contact_algebras/proximity_boolean_contact_algebra.clif

(cl-comment "Proximity Boolean Contact algebra (PBCA) axioms")
(cl-comment 'Proximity Boolean Contact algebra (PBCA) axioms')

(cl-imports http://colore.oor.net/contact_algebras/boolean_contact_algebra.clif)

(cl-comment "Nor: Normality axiom ")
(cl-comment 'Nor: Normality axiom ')

(forall (x y)
(if (not (c x y))
@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/region_boolean_contact_algebra.clif

(cl-comment "Region Boolean Contact algebra (RBCA) axioms")
(cl-comment 'Region Boolean Contact algebra (RBCA) axioms')

(cl-imports http://colore.oor.net/contact_algebras/boolean_contact_algebra.clif)

@@ -11,11 +11,11 @@

(cl-text http://colore.oor.net/contact_algebras/spoca.clif

(cl-comment "Stonian p-ortocomplemented contact algebra (as defined in Hahmann and Gruninger, Notre Dame J. Formal Logic 2013)")
(cl-comment 'Stonian p-ortocomplemented contact algebra (as defined in Hahmann and Gruninger, Notre Dame J. Formal Logic 2013)')

(cl-imports http://colore.oor.net/contact_algebras/oca.clif)

(cl-comment "PC1")
(cl-comment 'PC1')

(forall (x y)
(=
@@ -25,15 +25,15 @@
)


(cl-comment "PC2prime")
(cl-comment 'PC2prime')

(= (pc zero) one)

(cl-comment "PC2primeprime")
(cl-comment 'PC2primeprime')

(= (pc one) zero)

(cl-comment "S: Stone property")
(cl-comment 'S: Stone property')

(forall (x y)
(=
@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/wbca.clif

(cl-comment "Weak Boolean Contact algebra axioms (as defined in Hahmann and Gruninger, Notre Dame J. Formal Logic 2013)")
(cl-comment 'Weak Boolean Contact algebra axioms (as defined in Hahmann and Gruninger, Notre Dame J. Formal Logic 2013)')

(cl-imports http://colore.oor.net/contact_algebras/spoca.clif)

@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/weak_boolean_contact_algebra.clif

(cl-comment "Weak Boolean Contact algebra axioms")
(cl-comment 'Weak Boolean Contact algebra axioms')

(cl-imports http://colore.oor.net/contact_algebras/weak_contact_algebra.clif)

@@ -10,7 +10,7 @@

(cl-text http://colore.oor.net/contact_algebras/weak_contact_algebra.clif

(cl-comment "Weak Contact Algebra (WCA, according to Duentsch and Winter 2006: Topological representations of contact lattices)")
(cl-comment 'Weak Contact Algebra (WCA, according to Duentsch and Winter 2006: Topological representations of contact lattices)')

(cl-imports http://colore.oor.net/contact_algebras/weakest_contact_algebra.clif)

@@ -12,24 +12,24 @@

(cl-imports http://colore.oor.net/lattices/bounded_lattice_meet_join.clif)

(cl-comment "C0: Disconnected null region")
(cl-comment 'C0: Disconnected null region')

(forall (x)
(not (c 0 x)))

(cl-comment "C1: Reflexivity")
(cl-comment 'C1: Reflexivity')

(forall (x)
(if (not (= x 0))
(c x x)))

(cl-comment "C2: Symmetry")
(cl-comment 'C2: Symmetry')

(forall (x y)
(if (c x y)
(c y x)))

(cl-comment "C3: Closure (using rewriting of lattice operation leq)")
(cl-comment 'C3: Closure (using rewriting of lattice operation leq)')

(forall (x y z)
(if (and (c x y)

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