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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
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
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
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
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
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)
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)
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
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
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
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
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
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
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
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
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
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
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
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
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++
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)
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
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 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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Japaridze, Giorgi (2009). "From formulas to cirquents in computability logic". Logical Methods in Computer Science 1121. arXiv:0906.2154. doi:10.2168/LMCS-7(2:1)2011
Cirquent_calculus
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)
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
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
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
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
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
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
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
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
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
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
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
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
Type of logical system
of formal system. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables. Rather
First-order_logic
Digital logic gate
denote NIMPLY in algebraic expressions. Logically, it is equivalent to material nonimplication, and the logical expression A ∧ ¬B, i.e. it outputs 0 unless
NIMPLY_gate
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
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
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
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
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
Branch of applied mathematics
linguistics which uses formal languages, formal grammars and first-order logical expressions for the analysis of natural languages. Since the 1980s, the term
Mathematical_linguistics
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
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
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
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
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
Mathematical notation
parenthesized logical expressions. There is a direct correspondence between arithmetic involving Iverson brackets, logical expressions, and set operations
Iverson_bracket
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
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
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
condition, also known as a logical disjunction. A spider diagram is a boolean expression involving unitary spider diagrams and the logical symbols ∧ , ∨ , ¬ {\displaystyle
Spider_diagram
Engineer and angel investor
Optics. "Heuristic Algorithm for Reducing Large Product-of-Sums Logical Expressions". IEEE Transactions on Systems, Man, and Cybernetics (10). Institute
Phil_O'Donovan
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
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
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
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
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
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
AND of literals forming a term in a Boolean expression
or uncomplemented form) is called a minterm. Thus, a minterm is a logical expression of n variables that employs only the complement operator and the conjunction
Product_term
Philosophical conception of meaning
uses formal languages with expressions such as singular terms, predicates, and logical connectives to articulate the logical form of propositions. Logicians
Meaning_(philosophy)
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
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
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
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
Sequence of words formed by specific rules
describing logical operations using truth values and set operators. In his work An Investigation of The Laws of Thought, he demonstrated that logical reasoning
Formal_language
Establishment of a theorem using inference from the axioms
semantics (i.e. what they mean). A formal system (also called a logical calculus, or a logical system) consists of a formal language together with a deductive
Formal_proof
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
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
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
Symbol representing a property or relation in logic
In logic, a predicate is a non-logical symbol that represents a property or a relation, though, formally, does not need to represent anything at all.
Predicate_(logic)
Graphics created using computers
the latter allows an evaluated result returned from a user-defined logical expression, coupled with mathematics, to automate animation in a predictable
Computer_graphics
Bit-level computer operation
a logical shift is a bitwise operation that shifts all the bits of its operand. The two base variants are the logical left shift and the logical right
Logical_shift
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
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
LOGICAL EXPRESSION
LOGICAL EXPRESSION
Girl/Female
Indian, Tamil
King Rama's Wife
Girl/Female
African, Arabic, French, Indian, Muslim, Swahili, Tamil
Intelligent; Logical; Intelligent One who Reasons; Wise
Boy/Male
Hindu, Indian
Logical
Girl/Female
Native American
Magical dancer.
Girl/Female
Hindu
Boy/Male
Gujarati, Hindu, Indian, Sanskrit
Logical Science
Boy/Male
Indian, Sanskrit
Endowed with Mind; Logical
Boy/Male
Hindu, Indian
A Magical Sword
Boy/Male
Indian, Sanskrit
Logician
Girl/Female
Danish, Hindu, Indian, Japanese
Ray of Light; Logical
Boy/Male
German, Swedish
Elf; Magical Army; Warrior
Girl/Female
Hindu, Indian
Give Light to Others
Boy/Male
Tamil
Intelligent, Logical
Boy/Male
Indian
Intelligent, Logical
Girl/Female
Indian, Modern, Sanskrit
Magical
Boy/Male
Hindu
Love and kindness, Analytical, Logical
Girl/Female
Tamil
Give light to others
Boy/Male
Tamil
Love and kindness, Analytical, Logical
Girl/Female
Australian, French, Swedish
Elf; Magical Counsel
Girl/Female
Indian
Successful; Logical Thinkers
LOGICAL EXPRESSION
LOGICAL EXPRESSION
Male
Egyptian
, a mystical name of the Osirian deceased.
Girl/Female
Indian, Punjabi, Sikh
Shimmer
Girl/Female
American, Australian, British, Chinese, Danish, Dutch, English, French, German, Greek, Hebrew, Irish, Jamaican, Netherlands, Swedish, Swiss
From the High Tower; Tower; Woman from Magdala
Boy/Male
Arabic
Awake; Watchful; Vigilant
Girl/Female
Tamil
Quiet
Girl/Female
Indian, Telugu
Unique
Girl/Female
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu, Traditional
Sun God
Boy/Male
Tamil
Initiation
Girl/Female
Irish
Strong.
Girl/Female
Hindu, Indian
Ninth Child
LOGICAL EXPRESSION
LOGICAL EXPRESSION
LOGICAL EXPRESSION
LOGICAL EXPRESSION
LOGICAL EXPRESSION
n.
A logical deduction.
a.
Of or pertaining to the nodes; from a node to the same node again; as, the nodical revolutions of the moon.
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.
n.
A treatise on logic; as, Mill's Logic.
a.
Exciting mirth; droll; laughable; as, a comical story.
a.
Half logical; partly logical; said of fallacies.
a.
Logical.
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.
n.
A person skilled in logic.
a.
According to the rules of logic; as, a logical argument or inference; the reasoning is logical.
a.
Skilled in logic; versed in the art of thinking and reasoning; as, he is a logical thinker.
v. t.
Consistent; logical.
a.
Having or observing logical sequence; logically consistent and rigorous; consecutive in development or transition of thought.
n.
See Logic.
pl.
of Lorica
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.