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56 relations: Academic Press, Alonzo Church, Alphabet (formal languages), Arity, Atomic formula, Automated theorem proving, Backus–Naur form, Cambridge University Press, Change of variables, Cheering, David Hilbert, Dover Publications, Effective method, First-order logic, Fitch notation, Formal language, Formation rule, Free variables and bound variables, Ground expression, Infix notation, Interpretation (logic), Java (programming language), Jon Barwise, List of model checking tools, Logical connective, Mathematical logic, Mathematical proof, New York City, Nonsense word, Order of operations, Peano axioms, Penguin Books, Polish notation, Proof assistant, Propositional calculus, Propositional formula, Propositional variable, Quantifier (logic), Recursive definition, Recursive set, Satisfiability, Semantics of logic, Sequence, Signature (logic), Springer Science+Business Media, Symbol (formal), Syntax (logic), Term (logic), The Whiffenpoofs, Type–token distinction, ..., University of Michigan, Variable (mathematics), Whiffenpoof, Wilhelm Ackermann, Yale Law School, Yale University. Expand index (6 more) »
Academic Press
Academic Press is an academic book publisher.
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Alonzo Church
Alonzo Church (June 14, 1903 – August 11, 1995) was an American mathematician and logician who made major contributions to mathematical logic and the foundations of theoretical computer science.
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Alphabet (formal languages)
In formal language theory, a string is defined as a finite sequence of members of an underlying base set; this set is called the alphabet of a string or collection of strings.
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Arity
In logic, mathematics, and computer science, the arity of a function or operation is the number of arguments or operands that the function takes.
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Atomic formula
In mathematical logic, an atomic formula (also known simply as an atom) is a formula with no deeper propositional structure, that is, a formula that contains no logical connectives or equivalently a formula that has no strict subformulas.
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Automated theorem proving
Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs.
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Backus–Naur form
In computer science, Backus–Naur form or Backus normal form (BNF) is a notation technique for context-free grammars, often used to describe the syntax of languages used in computing, such as computer programming languages, document formats, instruction sets and communication protocols.
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Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
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Change of variables
In mathematics, a change of variables is a basic technique used to simplify problems in which the original variables are replaced with functions of other variables.
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Cheering
Cheering involves the uttering or making of sounds and may be used to encourage, excite to action, indicate approval, or welcome.
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David Hilbert
David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.
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Dover Publications
Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.
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Effective method
In logic, mathematics and computer science, especially metalogic and computability theory, an effective methodHunter, Geoffrey, Metalogic: An Introduction to the Metatheory of Standard First-Order Logic, University of California Press, 1971 or effective procedure is a procedure for solving a problem from a specific class.
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First-order logic
First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.
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Fitch notation
Fitch notation, also known as Fitch diagrams (named after Frederic Fitch), is a notational system for constructing formal proofs used in sentential logics and predicate logics.
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Formal language
In mathematics, computer science, and linguistics, a formal language is a set of strings of symbols together with a set of rules that are specific to it.
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Formation rule
In mathematical logic, formation rules are rules for describing which strings of symbols formed from the alphabet of a formal language are syntactically valid within the language.
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Free variables and bound variables
In mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation that specifies places in an expression where substitution may take place.
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Ground expression
In mathematical logic, a ground term of a formal system is a term that does not contain any free variables.
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Infix notation
Infix notation is the notation commonly used in arithmetical and logical formulae and statements.
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Interpretation (logic)
An interpretation is an assignment of meaning to the symbols of a formal language.
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Java (programming language)
Java is a general-purpose computer-programming language that is concurrent, class-based, object-oriented, and specifically designed to have as few implementation dependencies as possible.
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Jon Barwise
Kenneth Jon Barwise (June 29, 1942 – March 5, 2000) was an American mathematician, philosopher and logician who proposed some fundamental revisions to the way that logic is understood and used.
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List of model checking tools
This article lists model checking tools and gives a synthetic overview their functionalities.
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Logical connective
In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a symbol or word used to connect two or more sentences (of either a formal or a natural language) in a grammatically valid way, such that the value of the compound sentence produced depends only on that of the original sentences and on the meaning of the connective.
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Mathematical logic
Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.
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Mathematical proof
In mathematics, a proof is an inferential argument for a mathematical statement.
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New York City
The City of New York, often called New York City (NYC) or simply New York, is the most populous city in the United States.
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Nonsense word
A nonsense word, unlike a sememe, may have no definition.
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Order of operations
In mathematics and computer programming, the order of operations (or operator precedence) is a collection of rules that reflect conventions about which procedures to perform first in order to evaluate a given mathematical expression.
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Peano axioms
In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano.
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Penguin Books
Penguin Books is a British publishing house.
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Polish notation
Polish notation (PN), also known as normal Polish notation (NPN), Łukasiewicz notation, Warsaw notation, Polish prefix notation or simply prefix notation, is a mathematical notation in which operators precede their operands, in contrast to reverse Polish notation (RPN) in which operators follow their operands.
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Proof assistant
In computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human-machine collaboration.
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Propositional calculus
Propositional calculus is a branch of logic.
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Propositional formula
In propositional logic, a propositional formula is a type of syntactic formula which is well formed and has a truth value.
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Propositional variable
In mathematical logic, a propositional variable (also called a sentential variable or sentential letter) is a variable which can either be true or false.
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Quantifier (logic)
In logic, quantification specifies the quantity of specimens in the domain of discourse that satisfy an open formula.
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Recursive definition
A recursive definition (or inductive definition) in mathematical logic and computer science is used to define the elements in a set in terms of other elements in the set (Aczel 1978:740ff).
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Recursive set
In computability theory, a set of natural numbers is called recursive, computable or decidable if there is an algorithm which takes a number as input, terminates after a finite amount of time (possibly depending on the given number) and correctly decides whether the number belongs to the set.
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Satisfiability
In mathematical logic, satisfiability and validity are elementary concepts of semantics.
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Semantics of logic
In logic, the semantics of logic is the study of the semantics, or interpretations, of formal and (idealizations of) natural languages usually trying to capture the pre-theoretic notion of entailment.
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Sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.
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Signature (logic)
In logic, especially mathematical logic, a signature lists and describes the non-logical symbols of a formal language.
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Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
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Symbol (formal)
A logical symbol is a fundamental concept in logic, tokens of which may be marks or a configuration of marks which form a particular pattern.
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Syntax (logic)
In logic, syntax is anything having to do with formal languages or formal systems without regard to any interpretation or meaning given to them.
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Term (logic)
In analogy to natural language, where a noun phrase refers to an object and a whole sentence refers to a fact, in mathematical logic, a term denotes a mathematical object and a formula denotes a mathematical fact.
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The Whiffenpoofs
The Yale Whiffenpoofs is a collegiate ''a cappella'' singing group.
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Type–token distinction
The type–token distinction is used in disciplines such as logic, linguistics, metalogic, typography, and computer programming to clarify what words mean.
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University of Michigan
The University of Michigan (UM, U-M, U of M, or UMich), often simply referred to as Michigan, is a public research university in Ann Arbor, Michigan.
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Variable (mathematics)
In elementary mathematics, a variable is a symbol, commonly an alphabetic character, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown.
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Whiffenpoof
The word whiffenpoof refers to an imaginary or indefinite animal; e.g. "the great-horned whiffenpoof." It originates from an actor's ad-lib in a 1908 performance of the operetta Little Nemo.
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Wilhelm Ackermann
Wilhelm Friedrich Ackermann (29 March 1896 – 24 December 1962) was a German mathematician best known for the Ackermann function, an important example in the theory of computation.
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Yale Law School
Yale Law School (often referred to as Yale Law or YLS) is the law school of Yale University, located in New Haven, Connecticut, United States.
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Yale University
Yale University is an American private Ivy League research university in New Haven, Connecticut.
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Formula (logic), Formula (logics), Formula (mathematical logic), Layman Allen, Logical expression, Logical formula, Quantifier-free formula, Subformula, Well formed formula, Well formed formulae, Well-formed formulae, Well-formed formulas.
References
[1] https://en.wikipedia.org/wiki/Well-formed_formula
