Concepts inOpenMath: compositionality achieved at last
OpenMath
OpenMath is the name of a markup language for specifying the meaning of mathematical formulae. Among other things, it can be used to complement MathML, a standard which mainly focuses on the presentation of formulae, with information about their semantic meaning. OpenMath can be encoded in XML or in a binary format.
more from Wikipedia
Principle of compositionality
In mathematics, semantics, and philosophy of language, the Principle of Compositionality is the principle that the meaning of a complex expression is determined by the meanings of its constituent expressions and the rules used to combine them. This principle is also called Frege's Principle, because Gottlob Frege is widely credited for the first modern formulation of it.
more from Wikipedia
Polish notation
Polish notation, also known as Polish prefix notation or simply prefix notation, is a form of notation for logic, arithmetic, and algebra. Its distinguishing feature is that it places operators to the left of their operands. If the arity of the operators is fixed, the result is a syntax lacking parentheses or other brackets that can still be parsed without ambiguity. The Polish logician Jan ¿ukasiewicz invented this notation around 1920 in order to simplify sentential logic.
more from Wikipedia
Formal semantics (linguistics)
In linguistics, formal semantics seeks to understand linguistic meaning by constructing precise mathematical models of the principles that speakers use to define relations between expressions in a natural language and the world which supports meaningful discourse. The mathematical tools used are the confluence of formal logic and formal language theory, especially typed lambda calculi.
more from Wikipedia
Generalized quantifier
In linguistic semantics, a generalized quantifier is an expression that denotes a property of a property, also called a higher-order property. This is the standard semantics assigned to quantified noun phrases, also called determiner phrases, in short: DP. The DP every boy below says of a property X that the set of entities that are boys is a subset of the set of entities that have property X. So the following sentence says that the set of boys is a subset of the set of sleepers.
more from Wikipedia
MathML
Mathematical Markup Language (MathML) is an application of XML for describing mathematical notations and capturing both its structure and content. It aims at integrating mathematical formulae into World Wide Web pages and other documents. It is a recommendation of the W3C math working group.
more from Wikipedia
Computer algebra system
A computer algebra system (CAS) is a software program that facilitates symbolic mathematics. The core functionality of a CAS is manipulation of mathematical expressions in symbolic form.
more from Wikipedia
Linguistics
Linguistics is the scientific study of human language. Linguistics can be broadly broken into three categories or subfields of study: language form, language meaning, and language in context. The earliest known descriptive linguistics activities are said to have been Panini's Ashtadhyayi around 500 BCE with the analysis of Sanskrit. The first subfield of linguistics is the study of language structure, or grammar.
more from Wikipedia