29th IEEE International 
Symposium on 
Multiple-Valued-Logic
1999
Freiburg im Breisgau 
Germany
20-22 May 1999
PROGRAM
Location
Institute of Computer Science
Albert-Ludwigs-University Freiburg
Building 101
Am Flughafen 17
79110 Freiburg, Germany
Organizing Committee
Rolf Drechsler, Symposium Chair
Bernd Becker, Symposium Co-Chair
Nicole Drechsler, Financial Chair
Frank Schmiedle, Publication Chair
Christoph Scholl, Local Arrangement Chair
Institute of Computer Science
Albert-Ludwigs-University, Freiburg, Germany
Program Chairs
Elena Dubrova, Program Chair Europe/Africa 
Royal Institute of Technology, Sweden 
Michael Miller, Program Chair Americas
University of Victoria, Canada
Takahiro Hanyu, Program Chair Asia/Pacific 
Tohoku University, Japan
Sponsors
We wish to thank the following for their contribution to the 
success of this conference:
IEEE Computer Society.
Albert-Ludwigs-University of Freiburg, Germany.
Technical Committee on Multiple-Valued Logic.
European Office of Aerospace Research and Development. 
Air Force Office of Scientific Research. 
United States Air Force Research Laboratory. 
Activities
Wednesday May 19
ULSI Workshop
Conference registration
Welcome reception
Thursday May 20
Conference registration
Technical sessions of 
ISMVL 99
Welcome reception in 
Freiburg
Friday May 21
Technical sessions of 
ISMVL 99
Organo concert 
(Freiburger Muenster)
Conference banquet
Saturday May 22
Technical sessions of 
ISMVL 99
Welcome to ISMVL 99
Welcome to Freiburg im Breisgau, the site of the 29th 
International Symposium on Multiple-Valued Logic. Freiburg is a 
period middle-ages city founded by the Dukes of Zaehringen (the 
right to hold markets was granted in 1120 A.D.). Its historical 
development was especially influenced by its more than 400-
year-long association with the Habsburg Dynasty. The city 
developed from a walled middle-ages market town to a fort city 
(17th/18th century) to the present-day modern city of about 
200,000 inhabitants. It is the first time that the symposium is 
being held in Germany. Like in the past years researchers from 
different areas discuss the latest results in the field of multiple-
valued logic. The symposium is co-sponsored by the Albert-
Ludwigs-University, Freiburg, the IEEE Computer Society, the 
Japan Research Group on Multiple-Valued Logic (JRG-MVL), 
and the European Office of Aerospace Research and 
Development (EOARD).
We wish to express our gratitude to the Symposium Committee 
for their hard work in preparing this event. Dr. Elena Dubrova 
served as a Program Chair for Europe and Africa, Prof. 
Takahiro Hanyu served as a Program Chair for Asia and 
Australia, and Prof. Michael Miller served as a Program Chair 
for the Americas. We would like to thank them for organizing an 
excellent program. ISMVL'99 has been the joint effort of many 
people. We especially like to thank Nicole Drechsler (Financial 
Chair), Frank Schmiedle (Publication Chair), and Dr. Christoph 
Scholl (Local Arrangement Chair). 
Finally, we would like to wish all participants a beautiful time in 
Freiburg and the black forest area and hope that we will have 
many stimulating discussions.
Rolf Drechsler  					Bernd Becker 
Symposium Chair						Symposium Co-Chair
Workshop
on Post-Binary ULSI Systems
Wednesday, 19 May
10:00 - 10:20	Registration
10:20 - 10:30	Opening remarks				Room 00-036
		T. Waho, Workshop Organizer
Session 1: Invited Talks				Room 00-036
Chair: G. Gulak
10:30 - 11:15	Innovation of Intelligent Integrated Systems
		Architecture -Future Challenge 
		M. Kameyama, Tohoku University, Japan
11:15 - 12:00	Quantum Electronic Circuit Concepts by 
		Nanometric Technology 
		H. Hartnagel,  Technical University of 
		Darmstadt, Germany
12:00 - 13:00	Lunch
Session 2: Nanoelectronics				Room 00-036
Chair: T. Waho
13:00 - 13:20	High-Speed Single-Electron Memory and Logic 
		H. Mizuta, K. Tsukagoshi, K. Nakazato, 
		H. Ahmed, Hitachi Cambridge, UK
13:20 - 13:40	Programmable HBT-Quantum Dot Structures for 
		Arithmetic MVL 
		L. Micheel, Wright Lab., USA, A. Sigurdardottir, 
		H. Hartnagel and K. Mutamba, Technical 
		University of Darmstadt, Germany
13:40 - 14:00	GaAs- and InP-based Technologies of 
		Resonant Tunneling Devices 
		O. Dupuis, P. Mounaix, F. Mollot, 
		O. Vanbesien, D. Lippens, IEMN, France
14:00 - 14:20	Nano-Fabrication Technology and Silicon 
		Nano-Devices 
		T. Baba, NEC Corporation, Japan
14:20 - 14:40	Refreshment break
Session 3 : BDD/MDD					Room 00-036
Chair: C. Scholl
14:40 - 15:00	Nonapproximability Results for OBDD- and
		FBDD-Minimization 
		D. Sieling, University  of Dortmund, Germany
15:00 - 15:20	Improving Reachability Analysis by means 
		of Activity Profiles
		G. Cabodi, P. Camurati, S. Quer, Politecnico di 
		Torino, Italy
15:20 - 15:40	A Word-Level Graph Representation 
		Package
		S. Hoereth, Siemens, Germany
15:40 - 16:00	Interval Diagram Techniques and Their 
		Applications
		K. Strehl, L. Thiele, ETH Zuerich, Switzerland
16:00 - 16:20	Refreshment break
Session 4:	Application of Information Theory to Logic  
		Design					Room 00-036
Chair: S. Yanushkevich
16:20 - 16:40	Information Theory Approach in Logic 
		Design: Results, Trends and Non-Solved 
		Problems
		S. Yanushkevich,Technical University of 
		Szczecin, Poland, D. Simovici, University of 
		Massachusetts at Boston, USA
16:40 - 17:00	Methods of Information Engine Theory in 
		Simple Examples
		H. Watanabe, Soka University Tokyo, Japan, 
		S. Yanushkevich, Technical University of 
		Szczecin, Poland
17:00 - 17:20	Information Measure in Evolvable Algorithm 
		for Synthesis of Combinational Circuits
		C. Moraga, University of Dortmund, Germany, 
		J. Kolodziejczyk, M. Opoka, S. Yanushkevic, 
		Technical University of Szczecin, Poland
17:20 - 17:40	Information Theoretical Approach in Reed-
		Muller Expansion Minimization
		D. Popel, Belarusian State University of 
		Informatics and Radioelectronics, Belarus, 
		V. Shmerko, S.Yanushkevich, Technical 
		University of Szczecin, Poland
18:00		ISMVL99 welcome reception
Conference
Thursday, May 20
8:45 - 9:00	Opening remarks			Room 00-036
		R. Drechsler, Symposium Chair
		B. Becker, Director CS-Institute, University of 
		Freiburg, Germany
Session 1:	Invited address			Room 00-036
Chair: T. Hanyu
9:00 - 10:00	Development of Quantum Functional 
		Devices for Multiple-Valued Logic Circuits
		T. Baba, NEC Corporation, Japan
10:00 - 10:30	Refreshment break
Session 2a: Algebra I				Room 00-036
Chair: I. Rosenberg
10:30 - 11:00	Multivalued Binary Relations and Post 
		Algebras 
		M. Serfati, University of Paris, France
11:00 - 11:30	On Axiomization of Conditional Entropy of 
		Functions Between Finite Sets
		D. Simovici, S. Jaroszewicz, University of 
		Massachusetts at Boston, USA
11:30 - 12:00	Quaternion Groups versus Dyadic Groups in 
		Representations and Processing of Large 
		Switching Functions
		R. Stankovic,  D.Milenovic, D. Jankovic, 
		University of Nis, Yugoslavia 
Session 2b: Circuits				Room 00-010
Chair: Y. Hata
10:30 - 11:00	Multiple-Valued Content-Addressable 
		Memory Using Metal-Ferroelectric-
		Semiconductor FETs
		T. Hanyu , H. Kimura, M. Kameyama, Tohoku 
		University, Japan
11:00 - 11:30	New Lamps for Old! (Generalized Multiple-
		Valued Neurons)
		C. Moraga, R. Heider, University of Dortmund, 
		Germany
11:30 - 12:00	Supplementary Symmetrical Logic Circuit  
		Structure
		E. Olson, Moorpark, USA 
12:00 - 13:30   Lunch (Executive Subcommittee Meeting)
Session 3a: Decomposition			Room 00-036
Chair: J. Muzio
13:30 - 14:00	Bi-Decomposition of Multi-Valued Functions 
		for Circuit Design and Data Mining 
		Applications
		B. Steinbach, University of Freiberg, Germany, 
		M. Perkowski, Portland State University, USA, 
		C. Lang, University of Freiberg, Germany
14:00 - 14:30	Totally Undecomposable Functions: 
		Applications to Efficient Multiple-Valued 
		Decompositions
		T. Sasao, Kyushu Institute of Technology, 
		Japan
14:30 - 15:00	A Generalization of Shestakov's Function  
		Decomposition Method
		J. Lou, ThoughtWorks Inc., USA, J. Brzozowski, 
		University of Waterloo, Canada
Session 3b: Clones				Room 00-010
Chair: G. Pogosyan
13:30 - 14:00	Gigantic Pairs of Minimal Clones
		I. Rosenberg, University of Montreal, Canada, 
		H. Machida, Hitotsubashi Unversity, Japan
14:00 - 14:30	Maximal Chains of Partial Clones Containing 
		Idempotent Partial Functions
		L. Haddad, J. Fugere, Royal Military College of 
		Canada
14:30 - 15:00	Partial Clones and their Generating Sets
		L. Haddad, Royal Military College of Canada, 
		D. Lau, University of Rostock, Germany
15:00 - 15:30	Refreshment break
Session 4a: Logic Design			Room 00-036
Chair: C. Moraga
15:30 - 16:00	Evaluation of m-Valued Fixed Polarity 
		Generalizations of Reed-Muller Canonical 
		Forms
		E. Dubrova, Royal Institute of Technology, 
		Sweden
16:00 - 16:30	Multiple-Valued Minimization to Optimize 
		PLAs with Output EXOR Gates
		D. Debnath, T. Sasao, Kyushu Institute of 
		Technology, Japan
16:30 - 17:00	The Output Permutation for the Multiple-
		Valued Logic Minimization with Universal 
		Literals
		T. Hozumi, O. Kakusho Hyogo University, 
		Y. Hata, Himeji Institute of Technology, Japan
17:00 - 17:30	Logic Model for Representing Uncertain 
		Statuses of Multiple-Valued Logic Systems 
		Realized by Min, Max and Literals
		N. Takagi, A. Hon-nami, K. Nakashima, 
		Toyama Prefectural University, Japan
Session 4b: Algebra 		 		Room 00-010
Chair: R. Haehnle
15:30 - 16:00	A Super Switch Algebra for Quantum Device 
		based Systems
		G. Dueck, University of Antigonish, M. Hu, 
		Aepos Technologies, B. Fraser, University of 
		Antigonish, Canada
16:00 - 16:30	Clarifying the Axioms of Kleene Algebra 
		based on the Method of Indeterminate 
		Coefficients
		T. Ninomiya, M. Mukaidono, Meiji University, 
		Japan
16:30 - 17:00	The Number of Cascade Functions
		G. Pogosyan, Christian University, Japan
17:00 - 17:30	Research on the Similarity among 
		Precomplete Sets Preserving m-ary Relation 
		in Partial K-Valued Logic
		L. Renren, Xiangtan University of Hunan, China
18:30		Welcome reception in Freiburg
Friday, May 21
Session 5: Invited Address			Room 00-036
Chair: E. Dubrova
  9:00 - 10:00	Automata, Circuits and BDDs
		D. Basin, University of Freiburg, Germany
10:00 - 10:15	Refreshment break
Session 6a: Decision Diagrams			Room 00-036
Chair: R. Drechsler
10:15 - 10:45	Synthesis of Multiple-Valued Decision 
		Diagrams using Current-Mode CMOS 
		Circuits
		M. Abd-El-Barr, King Fahd University of 
		Dhahran, Saudi Arabia, H.  Fernandes, 
		University of Saskatchewan, Canada
10:45 - 11:15	Shared Multiple-Valued Decision Diagrams 
		for Multiple-Output Functions
		H. Md. H. Babu, T. Sasao, Kyushu Institute of 
		Technology, Japan 
11:15 - 11:45	Matrix-Valued EXOR-TDDs in Decompositon 
		of Switching Functions
		R. Stankovic, University of Nis, Yugoslavia 
Session 6b: Circuits II				Room 00-010
Chair: M. Kameyama
10:15 - 10:45	Ternary Multiplication Circuits Using 4-Input 
		Adder Cells and Carry Look-Ahead
		A. Herrfeld, S. Hentschke, University of Kassel, 
		Germany
10:45 - 11:15	Down Literal Circuit with Neuron-MOS 
		Transistors and Its Applications
		J. Shen, K. Tanno, O. Ishizuka, Miyazaki 
		University, Japan
11:15 - 11:45	Arithmetic Circuits for Analog Digits
		A.Saed, Nortel Networks, Canada, M. Ahmadi,  
		G. Jullien, University of Windsor
11:45 - 13:00   Lunch (Symposium Subcommittee Meeting)
Session 7a: Applications			Room 00-036
Chair: R. Stankovic
13:00 - 13:30	Quaternary Coded Genetic Algorithms
		K. Freitag, SAG Systemhaus GmbH, 
		L. Hildebrand,  C. Moraga, University of 
		Dortmund, Germany
13:30 - 14:00	Redundant Complex Arithmetic and Its 
		Application to Complex Multiplier Design
		T. Aoki, K. Hoshi, T. Higuchi, Tohoku 
		University, Japan
14:00 - 14:30	On the Number of Multilinear Partitions and 
		the Computing Capacity of Multiple-Valued 
		Multiple-Threshold Perceptrons
		A. Ngom, Lakehead University, Canada,
		I. Stojmenovi, University of Ottawa, Canada,
		J. Zunic, University of Novi Sad, Yugoslavia
14:30 - 14:45	Refreshment break
14:45 - 15:15	B-ternary Logic Based Asynchronous 
		Micropipeline
		Y. Nagata, University of the Ryukyus, Japan,  
		M. Miller, University of Victoria, Canada, 
		M. Mukaidono, Meiji University, Japan
15:15 - 15:45	State Assignment Techniques in Multiple-
		Valued Logic
		K. Adams, J. Campbell, L. Maguire, J. Webb, 
		University of Ulster, Northern Ireland, UK
Session 7b: Logic				Room 00-010
Chair: L. Haddad
13:00 - 13:30	Information Relationships and Measures in 
		Application to Logic
		L. Jozwiak, Eindhoven University of 
		Technology, The Netherlands
13:30 - 14:00	Probabilistic and Truth-Functional Many-
		Valued Logic Programming
		T. Lukasiewicz, University of Gießen, Germany
14:00 - 14:30	Representation Theorems and Theorem 
		Proving in Non-Classical Logics
		V. Sofronie-Stokkermans, Max-Planck-Institut 
		Saarbruecken, Germany
14:30 - 14:45	Refreshment break
14:45 - 15:15	Transformations between Signed and 
		Classical Clause Logic
		B. Beckert, R. Haehnle, University of Karlsruhe, 
		Germany, F. Manya, University of Lleida, Spain
15:15 - 15:45	Semirigidity Problems in k-Valued Logic
		M. Miyakawa, Tsukuba College of Technology, 
		Japan
15:45 - 16:30	Plenary Session			Room 00-036
		G. Dueck, University of Antigonish, Canada
16:30		Social event
Saturday, May 22
Session 8: Panel Discussion			Room 00-036
Chair: J. Muzio 
9:00 - 10:00	Multiple-Valued Logic in the Next Millenium: 
		Challenges and Perspectives
10:00 - 10:30	Refreshment break
Session 9a: Testing				Room 00-036
Chair: T. Sasao
10:30 - 11:00	Fault Characterization and Testability 
		Considerations in Multi-Valued Logic 
		Circuits
		M. Abd-El-Barr, M. Al-Sharif, M. Osman, King 
		Fahd University of Dhahran, Saudi Arabia 
11:00 - 11:30	Highly Testable Group Based Logic Circuits 
		U. Kalay , M. Perkowski, D. Hall, Portland State 
		University, USA
11:30 - 12:00	Self-Checking Multiple-Valued Circuit Based 
		on Dual-Rail Current-Mode Differential Logic
		T. Hanyu , T. Ike, M. Kameyama, Tohoku 
		University, Japan
Session 9b: Fuzzy Logic				Room 00-010
Chair: O. Ishizuka
10:30 - 11:00	On the Concept of Qualitative Fuzzy Sets
		H. Thiele, University of Dortmund, Germany
11:00 - 11:30	On Some Classes of Fuzzy Information 
		Granularity and Their Representations
		Y. Hata, Himeji Institute of Technology, M. 
		Mukaidono, Meiji University, Japan
11:30 - 12:00	From a Fuzzy Flip-Flop to a MVL Flip-Flop
		L. Maguire, T. McGinnity, L. McDaid, University 
		of Ulster, Northern Ireland, UK
12:00 - 12:15   Closing remarks			Room 00-036
Notes
Map