What laws do the universe naturally operate according to?What should be the logical foundation of the human real world?This is a foundational and fundamental issue that humans have always wanted to clarify.From Thales...What laws do the universe naturally operate according to?What should be the logical foundation of the human real world?This is a foundational and fundamental issue that humans have always wanted to clarify.From Thales to philosophers such as Socrates,Plato,and Aristotle,ancient Greece achieved the origin and development of philosophy;Later,Descartes,Hume,Kant,Hegel,Nietzsche,and others explored new fields and concepts;Philosophers such as Husserl,Sartre,Russell,Wittgenstein,and Derrida left a profound mark in the 20th century.The emergence of a worldview emerged in the ancient Indian Vedas,and later in the religious and philosophical work The Upanishads,there was a discourse on the entities of"Brahma"and"I",which gave rise to the idea of"Advaita"in later generations.The Book of Changes was born in ancient China,along with major academic schools such as Taoism,Confucianism,Legalism,and Mohism.Later,Buddhist thought was integrated;With the Eastern ideas of yin and yang,the Doctrine of the Mean,harmony,and the ultimate goodness,I have integrated Eastern and Western historical philosophies,modern physics,and classical logic theories in my thinking on the principle of cosmic paradox,proposing a new perspective of understanding the essence of the universe and its natural logical relationship structure using the principle of paradox as the law of cosmic operation.The theoretical exploration and discussion of the dual nature relationship of"non-contradiction"and"contradiction"in the"first contradiction"relationship of things in the universe,that is,the identity of the universe is a self-contradictory overall transformation process;Attempting to reveal the paradoxical relationship of the universe from a new perspective in modern science,philosophy,and logic,striving to have a beneficial impact on the exploration and practical application of sustainable human survival and development models in the future.展开更多
Traditional CMOS technology faces some fundamental physical limitations. Therefore, it has become very important for the integrated circuit industry to continue to develop modem devices and new design methods. The thr...Traditional CMOS technology faces some fundamental physical limitations. Therefore, it has become very important for the integrated circuit industry to continue to develop modem devices and new design methods. The threshold logic gate has attracted much attention because of its powerful logic function. The resonant tunneling diode （RTD） is well suited for imple- menting the threshold logic gate because of its high-speed switching capability, negative differential resistance （NDR） charac- teristic, and functional versatility. In this paper, based on the Reed-Muller （RM） algebraic system, a novel method is proposed to convert three-variable non-threshold functions to the XOR of multiple threshold functions, which is simple and has a program- mable implementation. With this approach, all three-variable non-threshold functions can be presented by the XOR of two threshold functions, except for two special functions. On this basis, a novel three-variable universal logic gate （ULG3） is proposed, composed of two RTD-based universal threshold logic gates （UTLG） and an RTD-based three-variable XOR gate （XOR3）. The ULG3 has a simple structure, and a simple method is presented to implement all three-variable functions using one ULG3. Thus, the proposed ULG3 provides a new efficient universal logic gate to implement RTD-based arbitrary n-variable functions.展开更多
Compared with complementary metal–oxide semiconductor(CMOS), the resonant tunneling device(RTD) has better performances; it is the most promising candidate for next-generation integrated circuit devices. The universa...Compared with complementary metal–oxide semiconductor(CMOS), the resonant tunneling device(RTD) has better performances; it is the most promising candidate for next-generation integrated circuit devices. The universal logic gate is an important unit circuit because of its powerful logic function, but there are few function synthesis algorithms that can implement an n-variable logical function by RTD-based universal logic gates. In this paper, we propose a new concept, i.e., the truth value matrix. With it a novel disjunctive decomposition algorithm can be used to decompose an arbitrary n-variable logical function into three-variable subset functions. On this basis, a novel function synthesis algorithm is proposed, which can implement arbitrary n-variable logical functions by RTD-based universal threshold logic gates(UTLGs), RTD-based three-variable XOR gates(XOR3s), and RTD-based three-variable universal logic gate(ULG3s). When this proposed function synthesis algorithm is used to implement an n-variable logical function, if the function is a directly disjunctive decomposition one, the circuit structure will be very simple, and if the function is a non-directly disjunctive decomposition one, the circuit structure will be simpler than when using only UTLGs or ULG3s. The proposed function synthesis algorithm is straightforward to program, and with this algorithm it is convenient to implement an arbitrary n-variable logical function by RTD-based universal logic gates.展开更多
We study an anisotropic spin cluster of 3 spin S=1/2 particles with antiferromagnetic exchange interactionwith non-uniform coupling constants.A time-dependent magnetic field is applied to control the time evolution of...We study an anisotropic spin cluster of 3 spin S=1/2 particles with antiferromagnetic exchange interactionwith non-uniform coupling constants.A time-dependent magnetic field is applied to control the time evolution of thecluster.It is well known that for an odd number of sites a spin cluster qubit can be defined in terms of the ground statedoublet.The universal one-qubit logic gate can be constructed from the time evolution operator of the non-autonomousmany-body system,and the six basic one-qubit gates can be realized by adjusting the applied time-dependent magneticfield.展开更多
The aim of this article is the partial axiomatization for 1-level universal logic. A propositional calculus formal deductive system ULh∈（0,1） based on l-level universal AND operator of universal logic is algebra L...The aim of this article is the partial axiomatization for 1-level universal logic. A propositional calculus formal deductive system ULh∈（0,1） based on l-level universal AND operator of universal logic is algebra LПIG is introduced. The of system ULh∈（0,1） are proved. built up. The corresponding soundness and the completeness展开更多
文摘What laws do the universe naturally operate according to?What should be the logical foundation of the human real world?This is a foundational and fundamental issue that humans have always wanted to clarify.From Thales to philosophers such as Socrates,Plato,and Aristotle,ancient Greece achieved the origin and development of philosophy;Later,Descartes,Hume,Kant,Hegel,Nietzsche,and others explored new fields and concepts;Philosophers such as Husserl,Sartre,Russell,Wittgenstein,and Derrida left a profound mark in the 20th century.The emergence of a worldview emerged in the ancient Indian Vedas,and later in the religious and philosophical work The Upanishads,there was a discourse on the entities of"Brahma"and"I",which gave rise to the idea of"Advaita"in later generations.The Book of Changes was born in ancient China,along with major academic schools such as Taoism,Confucianism,Legalism,and Mohism.Later,Buddhist thought was integrated;With the Eastern ideas of yin and yang,the Doctrine of the Mean,harmony,and the ultimate goodness,I have integrated Eastern and Western historical philosophies,modern physics,and classical logic theories in my thinking on the principle of cosmic paradox,proposing a new perspective of understanding the essence of the universe and its natural logical relationship structure using the principle of paradox as the law of cosmic operation.The theoretical exploration and discussion of the dual nature relationship of"non-contradiction"and"contradiction"in the"first contradiction"relationship of things in the universe,that is,the identity of the universe is a self-contradictory overall transformation process;Attempting to reveal the paradoxical relationship of the universe from a new perspective in modern science,philosophy,and logic,striving to have a beneficial impact on the exploration and practical application of sustainable human survival and development models in the future.
基金supported by the National Natural Science Foundation of China(Nos.61271124 and 61471314)the Zhejiang Provincial Natural Science Foundation of China(Nos.LY13F010001 and LY15F010011)
文摘Traditional CMOS technology faces some fundamental physical limitations. Therefore, it has become very important for the integrated circuit industry to continue to develop modem devices and new design methods. The threshold logic gate has attracted much attention because of its powerful logic function. The resonant tunneling diode （RTD） is well suited for imple- menting the threshold logic gate because of its high-speed switching capability, negative differential resistance （NDR） charac- teristic, and functional versatility. In this paper, based on the Reed-Muller （RM） algebraic system, a novel method is proposed to convert three-variable non-threshold functions to the XOR of multiple threshold functions, which is simple and has a program- mable implementation. With this approach, all three-variable non-threshold functions can be presented by the XOR of two threshold functions, except for two special functions. On this basis, a novel three-variable universal logic gate （ULG3） is proposed, composed of two RTD-based universal threshold logic gates （UTLG） and an RTD-based three-variable XOR gate （XOR3）. The ULG3 has a simple structure, and a simple method is presented to implement all three-variable functions using one ULG3. Thus, the proposed ULG3 provides a new efficient universal logic gate to implement RTD-based arbitrary n-variable functions.
基金supported by the Zhejiang Provincial Natural Science Foundation,China(No.LY15F010011)the National Natural Science Foundation of China(Nos.61771179,61471314,and 61271124)
文摘Compared with complementary metal–oxide semiconductor(CMOS), the resonant tunneling device(RTD) has better performances; it is the most promising candidate for next-generation integrated circuit devices. The universal logic gate is an important unit circuit because of its powerful logic function, but there are few function synthesis algorithms that can implement an n-variable logical function by RTD-based universal logic gates. In this paper, we propose a new concept, i.e., the truth value matrix. With it a novel disjunctive decomposition algorithm can be used to decompose an arbitrary n-variable logical function into three-variable subset functions. On this basis, a novel function synthesis algorithm is proposed, which can implement arbitrary n-variable logical functions by RTD-based universal threshold logic gates(UTLGs), RTD-based three-variable XOR gates(XOR3s), and RTD-based three-variable universal logic gate(ULG3s). When this proposed function synthesis algorithm is used to implement an n-variable logical function, if the function is a directly disjunctive decomposition one, the circuit structure will be very simple, and if the function is a non-directly disjunctive decomposition one, the circuit structure will be simpler than when using only UTLGs or ULG3s. The proposed function synthesis algorithm is straightforward to program, and with this algorithm it is convenient to implement an arbitrary n-variable logical function by RTD-based universal logic gates.
文摘We study an anisotropic spin cluster of 3 spin S=1/2 particles with antiferromagnetic exchange interactionwith non-uniform coupling constants.A time-dependent magnetic field is applied to control the time evolution of thecluster.It is well known that for an odd number of sites a spin cluster qubit can be defined in terms of the ground statedoublet.The universal one-qubit logic gate can be constructed from the time evolution operator of the non-autonomousmany-body system,and the six basic one-qubit gates can be realized by adjusting the applied time-dependent magneticfield.
基金the Special Foundation of Education Department of Shanxi Province (07JK255)Basic Scientific Research Foundation of Northwestern Polytechnical University (W018101)
文摘The aim of this article is the partial axiomatization for 1-level universal logic. A propositional calculus formal deductive system ULh∈（0,1） based on l-level universal AND operator of universal logic is algebra LПIG is introduced. The of system ULh∈（0,1） are proved. built up. The corresponding soundness and the completeness
