Encoding Identifying Clause With Assignment By Cognitive Mental Projection

languages	construe	meaning	as	either lexical or grammatical
Assigner	Process	Value/Identified		Token/Identifier

'Believe In' As Mental Process

they	believed in	God
Senser	Process: mental: cognitive	Phenomenon

they	believed in	the existence [of God]
Senser	Process: mental: cognitive	Phenomenon

they	believed	that	God	exists
Senser	Process: mental: cognitive	‘	Existent	Process: existential

they	wanted		God	to exist
Senser	Process: mental: desiderative	‘	Existent	Process: existential

Marked Theme With Subject Ellipsis

Canterbury Cathedral	was	founded	in AD597	and	within 100 years	was	the goal of many pilgrimages
1				+2
Theme	Rheme			Theme		Rheme
topical				structural	topical (marked)

Mental Vs Attributive Relational

it	matters	to me
Carrier	Process/Attribute	Angle: viewpoint

I	care	about it
Senser	Process: mental	Matter

it	concerns (‘worries’)	me
Phenomenon	Process: mental	Senser

it	concerns (‘is about’)	me
Carrier	Process: relational: circumstantial	Attribute

Mental Assignment Vs Mental Projection [1]

He	thinks	it	funny
Attributor	Process: relational	Carrier	Attribute

He	thinks		it	is	funny
Senser	Process: mental		Carrier	Process: relational	Attribute

Phased Attribution

The pearls	would break back into	salt
Carrier	Process: intensive	Attribute

(See Halliday & Matthiessen 2004: 219.)

But note that the lexical item break invites a material (transformative: destructive) interpretation.

Imperative Attributive Clause With Assignment And Elaborating Verbal Group Complex

stop	making	stupid people	famous
Process		Carrier	Attribute
a = b [time phase: inceptive]

Clause Complex With Ellipsed Subject

Canterbury Cathedral	was	founded	in AD597	and	Ø	is	the Mother Church of the Anglican Communion
1				+2
Theme	Rheme				Rheme
Goal	Process		Location		Token	Process	Value
Subject	Finite	Predicator	Adjunct		Subject	Finite	Complement

Reasoning:  Ellipsis marks elements as textually non-prominent, whereas Theme marks elements as textually prominent.  Therefore, ellipsed elements do not function as Theme.

Halliday & Matthiessen (2004: 563):

Ellipsis marks the textual status of continuous information within a certain grammatical structure.  At the same time, the non-ellipsed elements of that structure are given the status of being contrastive in the environment of continuous information.  Ellipsis thus assigns differential prominence to the elements of a structure: if they are non-prominent (continuous), they are ellipsed; if they are prominent (contrastive), they are present.  The absence of elements through ellipsis is an iconic realisation of lack of prominence.