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Algorithm for the minimization of Boolean functions
The Quine–McCluskey algorithm (QMC), also known as the method of prime implicants or the tabulation method, is a method used for minimization of Boolean
Quine–McCluskey_algorithm
Boolean term that guarantees a function is true whenever the term is true
the term implicant has either a generic or a particular use. In the generic use, it refers to the hypothesis of an implication (implicant). In the particular
Implicant
Minimization algorithm for Boolean algebra
prime implicant chart by eliminating the essential prime implicant rows and the corresponding columns. Label the rows of the reduced prime implicant chart
Petrick's_method
Standard form of Boolean function
complete sum of prime implicants, the complete sum, or the disjunctive prime form, when it is a disjunction of all the prime implicants of f. The Blake canonical
Blake_canonical_form
Relationship where one statement follows from another
Implication Archived 2014-10-21 at the Wayback Machine A definition of 'implicant' AllWords Wikimedia Commons has media related to Logical consequence.
Logical_consequence
Harvey Venn, John Zhegalkin, Ivan Ivanovich Boole's syllogistic Boolean implicant Entitative graph Existential graph Laws of Form Logical graph Truth table
List of Boolean algebra topics
List_of_Boolean_algebra_topics
Set of columns in a relational database
Database normalization Primary key Relational database Superkey Prime implicant is the corresponding notion of a candidate key in boolean logic Date,
Candidate_key
Standard forms of Boolean functions
in particular. Other canonical forms include the complete sum of prime implicants or Blake canonical form (and its dual), and the algebraic normal form
Canonical_normal_form
Process in digital electronics and integrated circuit design
truth table: Binary decision diagram (BDD) Don't care condition Prime implicant Circuit complexity — on estimation of the circuit complexity Function
Logic_optimization
American philosopher and logician (1908–2000)
algorithm of reducing Boolean equations to a minimum covering sum of prime implicants. While his contributions to logic include elegant expositions and a number
Willard_Van_Orman_Quine
Overview of and topical guide to logic
function Conditioned disjunction Field of sets Functional completeness Implicant Logic alphabet Logic redundancy Logical connective Logical matrix Product
Outline_of_logic
implicant, because its truth implies the truth of the function. This expression may be made canonical by restricting it to use only prime implicants,
Monotone_dualization
Process by which desired circuit behavior is turned into a schematic of logic gates
computer. This exact minimization technique presented the notion of prime implicants and minimum cost covers that would become the cornerstone of two-level
Logic_synthesis
Standard form of a boolean function
canonical form – DNF including all prime implicants Quine–McCluskey algorithm – algorithm for calculating prime implicants Conjunction/disjunction duality Propositional
Disjunctive_normal_form
Data analysis technique
and B) implies the particular value of D". To establish that the prime implicants or descriptive inferences derived from the data by the QCA method are
Qualitative comparative analysis
Qualitative_comparative_analysis
Special type of Boolean function
clique of the co-occurrence graph forms one of the conjunctions (prime implicants) of the disjunctive normal form. That is, when interpreted as a function
Read-once_function
Standard representation of a mathematical object
normal form Blake canonical form, also known as the complete sum of prime implicants, the complete sum, or the disjunctive prime form Cantor normal form of
Canonical_form
Function returning one of only two values
or complement (maxterms) Blake canonical form, the OR of all the prime implicants of the function Boolean formulas can also be displayed as a graph: Propositional
Boolean_function
Software for qualitative data analysis
algorithm and the R package qualitative comparative analysis to determine implicants. The latest available version is Aquad 8, which is available in German
Aquad
Computer program for complexity reduction of digital logic circuits
DC-cover), a set of prime implicants is composed. Finally, a systematic procedure is followed to find the smallest set of prime implicants the output functions
Espresso heuristic logic minimizer
Espresso_heuristic_logic_minimizer
American computer scientist (1934–2023)
Chang, Richard C. T. Lee (1970). A New Algorithm for Generating Prime Implicants. IEEE Transactions on Computers, Vol. 19, No. 4 James Robert Slagle, John
James_Robert_Slagle
German mathematician and pioneering computer scientist
verringern. […] [The circle graph by Händler is well suited to find prime implicants. A disadvantage is that it is difficult to draw. This can be remedied
Wolfgang_Händler
Computer science string term
it contains. The same representation may also be used to describe the implicants of Boolean functions. Partial words may be generalized to parameter words
Partial_word
IMPLICANT
IMPLICANT
IMPLICANT
IMPLICANT
Surname or Lastname
Scottish and English
Scottish and English : from a pet form of Dennis.English : habitational name from a place in Cambridgeshire, most probably named with Old English Dene ‘Dane’ + ēg ‘island’.Scottish : habitational name from Denny in Stirlingshire.Irish : reduced Anglicized form of Gaelic Ó Duibhne (see Deeney).Irish (Cork) : less frequently, a reduced Anglicization of Gaelic Ó Duineachdha (see Dennehy).
Boy/Male
Indian
Known, Accepted
Boy/Male
Hindu
Kind hearted valiant
Girl/Female
American, British, English
Fanciful; Capricious
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from any of the numerous places in France so called from the dedication of their churches to St. George (see George).French : secondary surname to the primary surnames De la Porte, Godfroy, Lapointe, and Laporte.
Girl/Female
Indian, Punjabi
God
Biblical
sorrow; trouble;he makes sorrow or height; sorrow;
Girl/Female
American, Australian, British, English
Pledge; Variant of Carlene and Charlene
Surname or Lastname
English
English : variant of Hare.
Girl/Female
Tamil
Parimalam | பரீமாஂலம
Pleasant smell
IMPLICANT
IMPLICANT
IMPLICANT
IMPLICANT
IMPLICANT