Contents of Report

[Data of Report]

	Abstract	.... 2
	Contents	.... 2
1	Introduction	.... 3
2	Preliminaries	.... 4
2.1	PTL	.... 4
2.2	QFTL	.... 5
2.3	Provability and Consistency	.... 5
2.4	Satisfiability and Validity	.... 6
3	PTL and w-Graph	.... 7
3.1	Decomposotion Rule	.... 7
3.2	w-graph	.... 8
3.3	Fundamental Theorem	.... 8
3.4	w-automata	.... 9
3.5	Canonical Modlel	.... 10
3.6	Completeness	.... 11
3.7	PTL and w-regular Language	.... 12
4	QFTL	.... 13
4.1	QFTL and w-graphs	.... 13
4.2	w-graphs Refutation	.... 13
4.3	Turing Machine	.... 14
4.4	Simulation of the Behavior of TM in QFTL	.... 14
4.5	Incompleteness of QFTL	.... 15
5	Concluding Remarks	.... 17
5.1	Conclusion	.... 17
5.2	Additional discussion	.... 17
	Acknowledgment	.... 18
	References	.... 19
	End	.... 21

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