Formal definitions of language is commonly used in formal logic, and in formal theories of grammar and in applied computational linguistics.

Formal theories cannot dispense with primitive notions, under pain of infinite regress.

Category: Formal theories of arithmetic

Formal innovation characterised Mon oncle d ' Amérique ( My American Uncle ) ( 1980 ) in which the theories of the neurobiologist Henri Laborit about animal behaviour are juxtaposed with three interwoven fictional stories ; and a further counterpoint to the fictional characters is provided by the inclusion of film extracts of the classic French film actors with whom they identify.

Formal rigour is the introduction of high degrees of completeness by means of a formal language where such proofs can be codified using set theories such as ZFC ( see automated theorem proving ).

Category: Formal theories of arithmetic

Formal mathematics is based on provable truth.

Tarski, in " On the Concept of Truth in Formal Languages ", attempted to formulate a new theory of truth in order to resolve the liar paradox.

:* Formal Principle -- the Bible as the sole standard of all truth ( sola scriptura ).

Formal dinners are hosted by organisations such as Burns clubs, the Freemasons or St Andrews Societies and occasionally end with dancing when ladies are present.

Formal, academic critiques of postmodernism can also be found in works such as Beyond the Hoax and Fashionable Nonsense.

Formal practices of traditional martial arts such as subak and taekkyeon were reserved for sanctioned military uses.

Formal support groups may appear to be a modern phenomenon, but they supplement traditional fraternal organizations such as Freemasonry in some respects, and may build on certain supportive functions ( formerly ) carried out in ( extended ) families.

Formal cloaks often have expensive, coloured linings and trimmings such as silk, satin, velvet and fur.

Formal education environments, such as elementary and secondary schools, present opportunities for learners to acquire new knowledge and skills, and to achieve deep, domain-specific conceptual mastery which, through well-designed pedagogical guidance and academic study, may enhance future career readiness, civic engagement, and general well-being.

Formal learning is learning that takes place within a teacher-student relationship, such as in a school system.

* Formal verification, also model checking: Attempts to prove, by mathematical methods, that the system has certain desired properties, and that certain undesired effects ( such as deadlock ) cannot occur.

Formal definitions absolutely require the presence of emotional symptoms as the chief complaint ; the presence of exclusively physical symptoms associated with the menstrual cycle, such as bloating, abdominal cramps, constipation, swelling or tenderness in the breasts, cyclic acne, and joint or muscle pain — no matter how disruptive these physical symptoms are — is not considered PMS.

Formal employee-testing is usually planned and announced well in advance, and may have titles, such as Levels Testing, Skills Evaluation, etc.

Despite maintaining some Cambridge traditions, such as Formal Hall, the college has avoided others: for example, it is one of the few colleges that allows its students to walk on the grass in the college gardens.

* Formal methods and databases — applications of automated music identification and recognition, such as score following, automatic accompaniment, routing and filtering for music and music queries, query languages, standards and other metadata or protocols for music information handling and retrieval, multi-agent systems, distributed search )

Formal verification can be helpful in proving the correctness of systems such as: cryptographic protocols, combinational circuits, digital circuits with internal memory, and software expressed as source code.

For example, since the college's founding there has been no " High Table " reserved for Fellows at Formal Hall dinners ; students and Fellows mix and dine together, although the tradition of wearing academic gowns to such occasions is still preserved.

Formal debates between candidates for elected office, such as the leaders debates and the U. S. presidential election debates, are sometimes held in democracies.

Gellish has natural language variants such as Gellish Formal English and Gellish Formal Dutch (

Formal education beyond eighth grade is only reluctantly allowed in the congregations in the states of California and Florida ( to the tenth grade to comply with compulsory school attendance laws in these cases where religious exemption has not been made ) and in the case of job training such as carpentry, nursing, etc.

Programs Board is also responsible for planning larger off-campus events such as the Homecoming Dance and Spring Formal.

Formal elements such as rhyme, meter, setting, characterization, and plot were used to identify the theme of the text.

Formal assessment usually implies a written document, such as a test, quiz, or paper.

Undergratuates are members of the Junior Common Room ( JCR ), although they may opt out of the common room if they wish, although if they do so they are not allowed to attend JCR events, such as the informal and formal ball, or Formal Hall.

Formal group laws over a ring R are often constructed by writing down their logarithm as a power series with coefficients in R ⊗ Q, and then proving that the coefficients of the corresponding formal group over R ⊗ Q actually lie in R. When working in positive characteristic, one typically replaces R with a mixed characteristic ring that has a surjection to R, such as the ring W ( R ) of Witt vectors, and reduces to R at the end.

Formal German makes common use of such participial relative clauses, which can become extremely long.

Formal programs conducted by universities are often used to build a knowledge base to drive curricula in sociology and community studies.

Formal planned experimentation is often used in evaluating physical objects, chemical formulations, structures, components, and materials.

Formal and Greco-Latinate names are generally used for the first ten types and can be used for up to twenty subunits, whereas higher order complexes are usually described by the number of subunits, followed by-meric.

Formal charges are used in valence bond theory for some canonical forms used to construct a resonance hybrid.

Formal power series are often used merely to represent the whole collection of their coefficients.

Formal power series can be used to solve recurrences occurring in number theory and combinatorics.

* Formal groups are used to define an abstract group law using formal power series

There used to be an additional Formal Hall held on Sunday evenings at least until the early 1990s.

* Formal power series, a generalization of power series without requiring convergence, used in combinatorics

Formal methods can be used at a number of levels:

Level 1: Formal development and formal verification may be used to produce a program in a more formal manner.

Formal methods may be used to give a description of the system to be developed, at whatever level ( s ) of detail desired.

* MALPAS Software Static Analysis Toolset is an industrial strength model checker used for Formal Proof of safety critical systems

Informal and Formal Communication are used in an organization.

Formal education in communication has been directed at reading and writing skills that are used least in the workplace.

Formal and casual criticisms of a work ( a poem, an article, a book, a painting, or a play, for example ) often use the term ' critique ' to refer to any somewhat loosely-applied argument about the quality of the work, typically when used in reference to popular ( loose ) expectations, or conventionality, of a genre or class.

Formal title to Admiralty House finally passed from the State Government to the Commonwealth by Crown grant in 1948, on the condition that the house was to be used only as a residence for the Governor-General.

A subsequent US report by Rear Admiral William Fogarty, titled Formal Investigation into the Circumstances Surrounding the Downing of Iran Air Flight 655 on July 3, 1988, noted that Captain Rogers received some faulty information that he used to make the decision to fire.

#* Type theory ( used in type systems ), Formal semantics of programming languages, Hoare logic, and Logic programming ;

Formal equivalence checking process is a part of electronic design automation ( EDA ), commonly used during the development of digital integrated circuits, to formally prove that two representations of a circuit design exhibit exactly the same behavior.