Search references for LOGICAL EXPRESSION. Phrases containing LOGICAL EXPRESSION
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Topics referred to by the same term
Logical expression may refer to: Well-formed formula Boolean expression This disambiguation page lists articles associated with the title Logical expression
Logical_expression
Logical connective AND
\wedge } ) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as ∧ {\displaystyle
Logical_conjunction
Statement that is taken to be true
for reasoning. In mathematics, an axiom may be a "logical axiom" or a "non-logical axiom". Logical axioms are taken to be true within the system of logic
Axiom
Expression in a computer program
In computer science, a Boolean expression (also known as logical expression) is an expression used in programming languages that produces a Boolean value
Boolean_expression
Logical expressions are used to express any logical function. The logical value (true, false) of a logical expression is calculated by
Virtual_finite-state_machine
Symbolic description of a mathematical object
In mathematics, an expression is an arrangement of symbols following the context-dependent, syntactic conventions of mathematical notation. Symbols can
Expression_(mathematics)
Type of diagrammatic notation for logic
A Randolph diagram (R-diagram) is a simple way to visualize logical expressions and combinations of sets. Randolph diagrams were created by mathematician
Randolph_diagram
In logic, a statement which is always true
interpretation of its component terms, with only the logical constants having a fixed meaning. It is a logical truth. For example, a formula that states "the
Tautology_(logic)
Logical connective OR
logic, disjunction (also known as logical disjunction, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated as
Logical_disjunction
Expression whose definition assigns it a unique interpretation
function). The term well-defined can also be used to indicate that a logical expression is unambiguous or uncontradictory. A function that is not well defined
Well-defined_expression
Symbol connecting formulas in logic
In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is an operator that combines or modifies
Logical_connective
Inference rule that may be applied to only a particular segment of an expression
an expression. A logical system may be constructed so that it uses either axioms, rules of inference, or both as transformation rules for logical expressions
Rule_of_replacement
Syntactically correct logical formula
quantifier-free formula. An atomic formula is a formula that contains no logical connectives nor quantifiers, or equivalently a formula that has no strict
Well-formed_formula
Mathematical table used in logic
functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables. In
Truth_table
Logical principles
In logic and philosophy, "laws of thought" is a dated expression referring to three logical principles: the law of identity (LOI), the law of non-contradiction
Law_of_thought
Mathematical use of "for all"
mathematical logic, a universal quantification is a type of quantifier, a logical constant which is interpreted as "given any", "for all", "for every", or
Universal_quantification
Set of sentences in a formal language
statements are taken as axioms. In a deductive theory, any sentence that is a logical consequence of one or more of the axioms is also a sentence of that theory
Theory_(mathematical_logic)
Term that does not contain any variables
P(b)} is a ground formula. A ground expression is a ground term or ground formula. Consider the following expressions in first order logic over a signature
Ground_expression
conditional expression is: logical-OR-expression ? expression : conditional-expression while in C++ it is: logical-OR-expression ? expression : assignment-expression
Operators_in_C_and_C++
Mathematics notation with operators preceding operands
notational systems even contrasted to Alfred Whitehead and Bertrand Russell's logical notational exposition and work in Principia Mathematica. In Łukasiewicz's
Polish_notation
Mathematical logic concept
be an n-ary predicate P whose arguments are terms tk, or an expression composed of logical connectives (and, or) and quantifiers (for-all, there-exists)
Atomic_formula
Infinite series used to approximate quantiles of probability distributions
In probability theory, the Cornish–Fisher expansion is an asymptotic expansion used to approximate the quantiles of a probability distribution based on
Cornish–Fisher_expansion
Relationship where one statement follows from another
Logical consequence (also entailment or logical implication) is a fundamental concept in logic which describes the relationship between statements that
Logical_consequence
Generalization of depth-first search trees
1137/S0097539794273083, MR 1431256. Courcelle, Bruno (1996), "On the expression of graph properties in some fragments of monadic second-order logic" (PDF)
Trémaux_tree
Pair of logical equivalences
C)=(A-B)\cup (A-C).} Applications of the rules include simplification of logical expressions in computer programs and digital circuit designs. De Morgan's laws
De_Morgan's_laws
1956 computer program written by Allen Newell, Herbert A. Simon and Cliff Shaw
program that performs logical processes on logical expressions. The Logic Theorist operates on the following principles: An expression is made of elements
Logic_Theorist
Computation model defining an abstract machine
logic] is solved when we know a procedure that allows for any given logical expression to decide by finitely many operations its validity or satisfiability
Turing_machine
Data having only values "true" or "false"
programming language uses an integer type, where relational expressions like i > j and logical expressions connected by && and || are defined to have value 1 if
Boolean_data_type
Logical operator in propositional calculus
functional value of the compound expression is true.[citation needed] Logical equality is an operation on two logical values, typically the values of two
Logical_equality
Process of drawing correct inferences
Logical reasoning is a form of thinking or information processing that aims to arrive at a conclusion in a rigorous way. It happens in the form of inferences
Logical_reasoning
Testing device for logical soundness
fragment—"everything that Bill believes"—on the righthand side of the logical biconditional. Principle of bivalence Law of excluded middle Künne, Wolfgang
T-schema
In mathematics, a statement that has been proven
of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the
Theorem
Sequence of characters that forms a search pattern
A regular expression (shortened as regex or regexp), sometimes referred to as a rational expression, is a sequence of characters that specifies a match
Regular_expression
Digital logic gate type
inputs A and B and output C implements the logical expression C = A ⋅ B {\displaystyle C=A\cdot B} . This expression also may be denoted as C = A ∧ B {\displaystyle
AND_gate
Study of the semantics, or interpretations, of formal and natural languages
validity, and logical consequence. While logical syntax concerns the formal rules for constructing well-formed expressions, logical semantics establishes
Semantics_(logic)
Component of artificial intelligence systems
IF-THEN rules. The general format of such rules is IF <logical expression> THEN <logical expression>. Prior to the development of expert systems and inference
Inference_engine
Structured system of communication
originated in the instinctive expression of emotions, and that it was originally closer to music and poetry than to the logical expression of rational thought.
Language
Type of diagrammatic notation for propositional logic
existential graph is a type of diagrammatic or visual notation for logical expressions, created by Charles Sanders Peirce, who wrote on graphical logic
Existential_graph
Computer science topic
bitwise NOT, or bitwise complement, is a unary operation that performs logical negation on each bit, forming the ones' complement of the given binary
Bitwise_operation
Method of deriving conclusions
that two expressions are equivalent and can be freely swapped. They contrast with formal fallacies—invalid argument forms involving logical errors. Logicians
Rule_of_inference
Topics referred to by the same term
interpretation Tautology (rule of inference), a rule of replacement for logical expressions Pleonasm Redundancy (disambiguation) Tautological (disambiguation)
Tautology
Computer software environment with own programming language
support is provided for logical values, relational operators (the Fortran syntax can be used) and logical expressions. Logical values are stored actually
Speakeasy (computational environment)
Speakeasy_(computational_environment)
Precisely specified semantic version of a statement
logic, the logical form of a statement is a precisely specified semantic version of that statement in a formal system. Informally, the logical form attempts
Logical_form
Mathematical notation
parenthesized logical expressions. There is a direct correspondence between arithmetic involving Iverson brackets, logical expressions, and set operations
Iverson_bracket
High-level programming language used to control ABB industrial robots
Trap routines - a means of responding to interrupts. Arithmetic and logical expressions Automatic error handling Modular programs Multi tasking KUKA Robot
RAPID
Logical proof involving antecedents and consequents
Sequents are best understood in the context of the following three kinds of logical judgments: Unconditional assertion. No antecedent formulas. Example: ⊢
Sequent
Faulty deductive reasoning due to a logical flaw
formal fallacy is a pattern of reasoning with a flaw in its logical structure (the logical relationship between the premises and the conclusion). A formal
Formal_fallacy
Game of symbolic logic
PROOF was a series of 20 games of increasing complexity, varying with the logical rules and methods available. All players must be able to recognize a "well-formed
WFF_'N_PROOF
Algorithm to parse a syntax with infix notation to postfix notation
shunting yard algorithm is a method for parsing arithmetical or logical expressions, or a combination of both, specified in infix notation. It can produce
Shunting_yard_algorithm
Planning programming language
conjunction of true/false facts), and the definition of goal-states (a logical expression over facts that should be true/false in a goal-state of the planning
Planning Domain Definition Language
Planning_Domain_Definition_Language
Type of logical system
computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables. Rather
First-order_logic
Formula that contains at least one free variable
Russell's paradox Logics Traditional Classical logic Logical truth Tautology Proposition Inference Logical equivalence Consistency Equiconsistency Argument
Open_formula
Statement that is true regardless of the truth or falsity of its constituent propositions
Logical truth is one of the most fundamental concepts in logic. Broadly speaking, a logical truth is a statement which is true regardless of the truth
Logical_truth
Logic formula
three" or propositional variables such as p and q, using connectives or logical operators such as NOT, AND, OR, or IMPLIES; for example: (p AND NOT q)
Propositional_formula
normal form A form of logical expression where all quantifiers are moved to the front, standardizing the structure of first-order logical statements. primitive
Glossary_of_logic
MR 2460926 G. Japaridze, “From formulas to cirquents in computability logic”. Logical Methods in Computer Science 7 (2011), Issue 2, Paper 1, pp. 1–55. Xu, Wenyan
Cirquent_calculus
Expression in propositional calculus
Clarence Lewis, "A proposition is any expression which is either true or false; a propositional function is an expression, containing one or more variables
Propositional_function
1982 book by David Stove
of logical expression. I will call a statement a "logical" one, or a "statement of logic" if and only if it implies something about what the logical relation
Popper_and_After
Logical operation
In logic, negation, also called the logical not or logical complement, is an operation that takes a proposition P {\displaystyle P} to another proposition
Negation
Linguistic style used for casual communication
can also be distinguished by its usage of formulations with incomplete logical and syntactic ordering. A specific instance of such language is termed
Colloquialism
Study of correct reasoning
approach to study reasoning: it replaces concrete expressions with abstract symbols to examine the logical form of arguments independent of their concrete
Logic
Digital logic gate
denote NIMPLY in algebraic expressions. Logically, it is equivalent to material nonimplication, and the logical expression A ∧ ¬B. The NIMPLY gate is
NIMPLY_gate
Fallacious approach to mislead an audience
or distracts from a relevant or important question. It may be either a logical fallacy or a literary device that leads readers or audiences toward a false
Red_herring
Parametric CAD software application
attribute of any entity. They can then be processed with algebraic or logical expression to control the behavior of the design. T-FLEX native file format is
T-FLEX_CAD
Translation of a text into a logical system
but retains the vocabulary of the original expression. In the last step, this vocabulary is replaced by logical symbols. Translation procedures are usually
Logic_translation
Usage of punctuation
prevailing style in the United Kingdom – called British style, logical quotation, and logical punctuation – is to include within quotation marks only those
Quotation_marks_in_English
Mathematical topics based on the works of George Boole
Boolean circuit, a mathematical model for digital logical circuits. Boolean expression, an expression in a programming language that produces a Boolean
Boolean
is many-sided, so any absolute assertion is false. Syadvada is the logical expression of this doctrine through conditional predications. The seven-valued
Jaina_seven-valued_logic
Digital logic gate
is a digital logic gate that implements a logical conditional. IMPLY can be denoted in algebraic expressions with the logic symbol right-facing arrow (→)
IMPLY_gate
delimited by parentheses (()) Infix notation for arithmetical and logical expressions C-family languages span multiple programming paradigms, conceptual
List of C-family programming languages
List_of_C-family_programming_languages
Algebraic manipulation of "true" and "false"
"Boolean Algebra - Expression, Rules, Theorems, and Examples". GeeksforGeeks. 2021-09-24. Retrieved 2024-06-03. "Boolean Logical Operations" (PDF). "Boolean
Boolean_algebra
Philanthropy conception of meaning
all linguistic categories, such as to quantificational expressions like "All boats float". Logical analysis was further advanced by Bertrand Russell and
Meaning_(philosophy)
List of symbols used to express logical relations
suggested set of logical symbols Logic gate § Symbols Logical connective Mathematical operators and symbols in Unicode Non-logical symbol Polish notation
List_of_logic_symbols
Topics referred to by the same term
Morgan's laws, specifically the ability to generate the dual of any logical expression Complementary duality of Carl Jung's functions and types in Socionics
Duality
Value indicating the relation of a proposition to truth
In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth, which in classical
Truth_value
Dutch painter (1872–1944)
catalog that "Holland has produced three great painters who, though a logical expression of their own country, rose above it through the vigor of their personality
Piet_Mondrian
Attempt to persuade or to determine the truth of a conclusion
premises—sentences, statements, or propositions—directed towards arriving at a logical conclusion. The purpose of an argument is to give reasons for one's thinking
Argument
Concept in logic
logically equivalent if they have the same truth value in every model. The logical equivalence of p {\displaystyle p} and q {\displaystyle q} is sometimes
Logical_equivalence
Mathematical theory of data types
computer science, type theory is the study of formal systems that classify expressions or mathematical objects by their types. Roughly speaking, a type plays
Type_theory
Performing order of mathematical operations
operations to perform first in order to evaluate a given mathematical expression. These conventions are formalized with a ranking of the operations. The
Order_of_operations
Graphical method to simplify Boolean expressions
32, ...). These expressions create a minimal logical mapping of the minimal logic variable expressions for the binary expressions to be mapped. Here
Karnaugh_map
Property of a mathematical operation
parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.
Associative_property
1978 book by Brian W. Kernighan and P. J. Plauger
variable names that won't be confused. Avoid unnecessary branches. If a logical expression is hard to understand, try transforming it. Choose a data representation
The Elements of Programming Style
The_Elements_of_Programming_Style
Style of formal logical argumentation
introduction of universal and existential quantifiers so that unquantified logical expressions can be manipulated according to the much simpler rules of propositional
Sequent_calculus
Mathematical method of risk analysis
calculations are used for other logical functions such as negation, exclusive disjunction, etc. When the Boolean expression to be evaluated becomes complex
Probability_bounds_analysis
Mathematical model for deduction or proof systems
with the deductive nature of the system. The logical consequence (or entailment) of the system by its logical foundation is what distinguishes a formal system
Formal_system
Representation of an expression as a generalized graph
A term graph is a representation of an expression in a formal language as a generalized graph whose vertices are terms[clarification needed]. Term graphs
Term_graph
Microsoft's programming language based on BASIC and COM
learn.microsoft.com. Retrieved December 4, 2017. "Microsoft Basic Logical Expression Evaluation". Vb.mvps.org. Archived from the original on 2009-08-23
Visual_Basic_(classic)
Framework for the description of the structure of a language
had developed by the 4th [century CE], as an inviolate system of logical expression." The earliest descriptions of other European languages were modeled
Traditional_grammar
Computer program for working with tabular data
that have a formula language based upon logical expressions, rather than arithmetic expressions are known as logical spreadsheets. Such spreadsheets can be
Spreadsheet
Mathematical operation
traditional form of reasoning by syllogism has been subsumed by relational logical expressions and their composition. If R ⊆ X × Y {\displaystyle R\subseteq X\times
Composition_of_relations
and informal fallacies. A formal fallacy is a defect in an argument's logical form that makes a deductive argument invalid. Informal fallacies cannot
List_of_fallacies
2004 book by Sam Harris
that, far from being an aberration, the torture of heretics was a logical expression of Christian doctrine – one which, he says, was clearly justified
The_End_of_Faith
formulas. Commonly encountered mathematical objects include numbers, expressions, shapes, functions, and sets. Mathematical objects can be very complex;
Mathematical_object
Formal study of linguistic meaning
terms, predicates, quantifiers, and logical connectives to represent the logical form of natural language expressions. Type theory is another approach utilized
Formal semantics (natural language)
Formal_semantics_(natural_language)
If and only if relation
In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or bidirectional implication or biimplication
Logical_biconditional
Compiler that processes each compilation unit only once
two-way branch, where B is a boolean/logical expression IF (N) l1,l2,l3 ! three-way branch, where N is a numeric expression IF (B) THEN ! start conditional
One-pass_compiler
Mathematical formula involving a given set of operations
In mathematics, a closed form expression or formula is one that is formed with constants, variables, and a set of functions considered as basic and connected
Closed-form_expression
Subfield of mathematics
using formal logical systems. These systems, though they differ in many details, share the common property of considering only expressions in a fixed formal
Mathematical_logic
Standard forms of Boolean functions
Thus, a minterm is a logical expression of n variables that employs only the complement operator and the conjunction operator (logical AND). A minterm gives
Canonical_normal_form
LOGICAL EXPRESSION
LOGICAL EXPRESSION
Boy/Male
Gujarati, Hindu, Indian, Sanskrit
Logical Science
Boy/Male
Tamil
Intelligent, Logical
Girl/Female
Native American
Magical dancer.
Boy/Male
Indian, Sanskrit
Endowed with Mind; Logical
Girl/Female
Indian, Modern, Sanskrit
Magical
Girl/Female
Hindu, Indian
Give Light to Others
Boy/Male
Hindu, Indian
Logical
Girl/Female
Hindu
Girl/Female
Indian, Tamil
King Rama's Wife
Boy/Male
Hindu, Indian
A Magical Sword
Boy/Male
Hindu
Love and kindness, Analytical, Logical
Girl/Female
Danish, Hindu, Indian, Japanese
Ray of Light; Logical
Boy/Male
Indian
Intelligent, Logical
Girl/Female
African, Arabic, French, Indian, Muslim, Swahili, Tamil
Intelligent; Logical; Intelligent One who Reasons; Wise
Girl/Female
Indian
Successful; Logical Thinkers
Boy/Male
Tamil
Love and kindness, Analytical, Logical
Girl/Female
Australian, French, Swedish
Elf; Magical Counsel
Boy/Male
Indian, Sanskrit
Logician
Boy/Male
German, Swedish
Elf; Magical Army; Warrior
Girl/Female
Tamil
Give light to others
LOGICAL EXPRESSION
LOGICAL EXPRESSION
Girl/Female
Arabic
Kind Woman
Boy/Male
Arabic, Muslim
Holly Man
Girl/Female
Hindu
Decorative, Name of a river
Surname or Lastname
English
English : patronymic from a short form of a Celtic personal name, Old Breton Iudicael (see Jewell).
Boy/Male
Hindu
One of the four spiritual son of Brahma
Female
Spanish
Variant spelling of Spanish Consuelo, CONSUELA means "consolation."
Boy/Male
English, Modern, Nepali
God Gift; Giver; Controller
Girl/Female
French
Girl/Female
Indian
Right Person
Boy/Male
Tamil
Master of the right way, Master of the right path, Principle
LOGICAL EXPRESSION
LOGICAL EXPRESSION
LOGICAL EXPRESSION
LOGICAL EXPRESSION
LOGICAL EXPRESSION
n.
A person skilled in logic.
a.
Half logical; partly logical; said of fallacies.
a.
Logical.
a.
Having or observing logical sequence; logically consistent and rigorous; consecutive in development or transition of thought.
pl.
of Lorica
a.
Skilled in logic; versed in the art of thinking and reasoning; as, he is a logical thinker.
n.
A logical deduction.
a.
According to the rules of logic; as, a logical argument or inference; the reasoning is logical.
n.
A treatise on logic; as, Mill's Logic.
a.
Excessively logical; adhering too closely to the forms or rules of logic.
n.
Of or pertaining to a place; limited; logical application; as, a topical remedy; a topical claim or privilege.
v. t.
Consistent; logical.
a.
Exciting mirth; droll; laughable; as, a comical story.
a.
Of or pertaining to logic; used in logic; as, logical subtilties.
a.
Ignorant or negligent of the rules of logic or correct reasoning; as, an illogical disputant; contrary of the rules of logic or sound reasoning; as, an illogical inference.
a.
Having a mixture of seriousness and sport; serious and comical.
adv.
In a logical manner; as, to argue logically.
a.
Having the form of, or resembling, a geometrical cone; round and tapering to a point, or gradually lessening in circumference; as, a conic or conical figure; a conical vessel.
a.
Of or pertaining to the nodes; from a node to the same node again; as, the nodical revolutions of the moon.
n.
See Logic.