Concept

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. Syntax is concerned with the rules used for constructing, or transforming the symbols and words of a language, as contrasted with the semantics of a language which is concerned with its meaning. The symbols, formulas, systems, theorems, proofs, and interpretations expressed in formal languages are syntactic entities whose properties may be studied without regard to any meaning they may be given, and, in fact, need not be given any. Syntax is usually associated with the rules (or grammar) governing the composition of texts in a formal language that constitute the well-formed formulas of a formal system. In computer science, the term syntax refers to the rules governing the composition of well-formed expressions in a programming language. As in mathematical logic, it is independent of semantics and interpretation. Symbol (formal) A symbol is an idea, abstraction or concept, tokens of which may be marks or a metalanguage of marks which form a particular pattern. Symbols of a formal language need not be symbols of anything. For instance there are logical constants which do not refer to any idea, but rather serve as a form of punctuation in the language (e.g. parentheses). A symbol or string of symbols may comprise a well-formed formula if the formulation is consistent with the formation rules of the language. Symbols of a formal language must be capable of being specified without any reference to any interpretation of them. Formal language A formal language is a syntactic entity which consists of a set of finite strings of symbols which are its words (usually called its well-formed formulas). Which strings of symbols are words is determined by the creator of the language, usually by specifying a set of formation rules. Such a language can be defined without reference to any meanings of any of its expressions; it can exist before any interpretation is assigned to it – that is, before it has any meaning.

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https://en.wikipedia.org/wiki/Syntax_(logic)

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Covers the semantics of programming languages, focusing on the Add language and the role of rewriting rules and CK machines in understanding meaning.

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Automatic Layout of Railroad Diagrams

Railroad diagrams (also called “syntax diagrams”) are a common, intuitive visualization of grammars, but limited tooling and a lack of formal attention to their layout mostly confines them to hand-drawn documentation. We present the first formal treatment of railroad diagram layout along with a principled, practical implementation. We characterize the problem as compiling a diagram language (specifying conceptual components and how they connect and compose) to a layout language (specifying basic graphical s

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Anti-Deprecation: Towards Complete Static Checking for API Evolution (Extended Version)

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Modèles syntaxiques probabilistes non-génératifs

Antoine Rozenknop

This work deals with models used, or usable in the domain of Automatic Natural Language Processing, when one seeks a syntactic interpretation of a statement. This interpretation can be used as additional information for subsequent treatments, that can aim for instance at producing a semantic representation of the statement. It can also be used as a filter to select utterances belonging to a specific language, among several hypotheses, as done in Automatic Speech Recognition. As the syntactic interpretation

EPFL2003

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Official source

https://en.wikipedia.org/wiki/Syntax_(logic)

About this result

Related courses (2)

CS-119(a): Information, Computation, Communication

CS-320: Computer language processing

Related lectures (6)

Second Order Logic: WS1S and HOL

Explores Second Order Logic, WS1S, HOL, decision procedures, atomic and composite formulas, and the combination of WS1S with MONA in HOL.

Semantics in Computer Language Processing: Understanding Meaning

Covers the semantics of programming languages, focusing on the Add language and the role of rewriting rules and CK machines in understanding meaning.

The Languages of Isabelle: Isar, ML, and Scala

Explores the languages of Isabelle, focusing on Isar, ML, and Scala, covering proof schemes, Natural Deduction rules, inductive definitions, and the LCF approach.

Related publications (4)

Automatic Layout of Railroad Diagrams

Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing2026

Anti-Deprecation: Towards Complete Static Checking for API Evolution (Extended Version)

2006

Modèles syntaxiques probabilistes non-génératifs

Antoine Rozenknop

EPFL2003

Related concepts (15)

Logic

Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or logical truths. It studies how conclusions follow from premises due to the structure of arguments alone, independent of their topic and content. Informal logic is associated with informal fallacies, critical thinking, and argumentation theory. It examines arguments expressed in natural language while formal logic uses formal language.

Satisfiability

In mathematical logic, a formula is satisfiable if it is true under some assignment of values to its variables. For example, the formula is satisfiable because it is true when and , while the formula is not satisfiable over the integers. The dual concept to satisfiability is validity; a formula is valid if every assignment of values to its variables makes the formula true. For example, is valid over the integers, but is not.

Formal proof

In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence by a rule of inference. It differs from a natural language argument in that it is rigorous, unambiguous and mechanically verifiable. If the set of assumptions is empty, then the last sentence in a formal proof is called a theorem of the formal system.

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Filtering Music: Extracting Audio Frequencies Using Filters

Filtering Music[1]¶

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Extracting the bas