Mapping Decision Diagrams for Multiple-Valued Logic Functions into Threshold Logic Networks

2011 ◽  
Author(s):  
Milena Stankovic ◽  
Suzana Stojkovic ◽  
Claudio Moraga
Keyword(s):  
Decision Diagrams ◽  
Threshold Logic ◽  
Multiple Valued Logic ◽  
Logic Functions

scholarly journals A Novel Graphical Technique for Combinational Logic Representation and Optimization

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
Vedhas Pandit ◽  
Björn Schuller
Keyword(s):  
Boolean Functions ◽  
Discrete Systems ◽  
Boolean Logic ◽  
Decision Diagrams ◽  
New Paradigm ◽  
Binary Decision ◽  
Graphical Technique ◽  
A New Technique ◽  
Logic Functions ◽  
Logical Functions

We present a new technique for defining, analysing, and simplifying digital functions, through hand-calculations, easily demonstrable therefore in the classrooms. It can be extended to represent discrete systems beyond the Boolean logic. The method is graphical in nature and provides complete ‘‘implementation-free” description of the logical functions, similar to binary decision diagrams (BDDs) and Karnaugh-maps (K-maps). Transforming a function into the proposed representations (also the inverse) is a very intuitive process, easy enough that a person can hand-calculate these transformations. The algorithmic nature allows for its computing-based implementations. Because the proposed technique effectively transforms a function into a scatter plot, it is possible to represent multiple functions simultaneously. Usability of the method, therefore, is constrained neither by the number of inputs of the function nor by its outputs in theory. This, being a new paradigm, offers a lot of scope for further research. Here, we put forward a few of the strategies invented so far for using the proposed representation for simplifying the logic functions. Finally, we present extensions of the method: one that extends its applicability to multivalued discrete systems beyond Boolean functions and the other that represents the variants in terms of the coordinate system in use.

Application of Threshold Logic to the Design and Analysis of Latching Systems in Deployers of Deployable-Retractable Structures

1994 ◽  
Author(s):  
M. Chew ◽  
M. T. Ho
Keyword(s):  
Threshold Logic ◽  
Deployable Structures ◽  
Mechanical Threshold ◽  
Logic Approach ◽  
Logic Functions

Abstract To erect deployable structures from a compact folded state, a supplemental mechanism called a deployer is used. Many latches are present in the deployer and these are coordinated in some logical and systematic manner to bring about the deployment. This article presents an investigation into analyzing the logic behavior of a deployer and design such latching systems in deployers in a more systematic manner; the logic functions used are based on modifications of the Mechanical Threshold Logic approach.

Development of Programmable Logic Array for Multiple-Valued Logic Functions

2020 ◽  
pp. 1-1 ◽  
Author(s):  
Vitaly Levashenko ◽  
Igor Lukyanchuk ◽  
Elena Zaitseva ◽  
Miroslav Kvassay ◽  
Jan Rabcan ◽  
...  
Keyword(s):  
Programmable Logic ◽  
Multiple Valued Logic ◽  
Programmable Logic Array ◽  
Logic Functions ◽  
Logic Array

On complexity of representation of multiple-valued logic functions as polarised polynomials

2002 ◽  
Vol 12 (3) ◽  
Author(s):  
S.N. Selezneva
Keyword(s):  
Polynomial Form ◽  
Multiple Valued Logic ◽  
Logic Functions

AbstractThe notion of a polarised polynomial form is extended to the case of multiple-valued logic functions. We introduce the Shannon functions of weight and length of polarised polynomial forms of multiple-valued logic functions and give some bounds for them.

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