For the last decade, Professor Crain s research has focused on children s acquisition of semantic knowledge, in particular young children s knowledge of logical expressions.
12.
In logic, a "'rule of replacement "'is a transformation rule that may be applied to only a particular segment of an logical expressions in the system.
13.
Since invariants can be arbitrarily complex logical expressions, and membership of a defined type is limited to only those values satisfying the invariant, type correctness in VDM-SL is not automatically decidable in all situations.
14.
As an example of the differences between MUMPS and MIIS, the value of a logical expression in MUMPS may be false = zero ( 0 ) or true = non-zero, canonically, one ( 1 ).
15.
For example, both natural deduction and sequent calculus systems facilitate the elimination and introduction of universal and existential quantifiers so that unquantified logical expressions can be manipulated according to the much simpler rules of propositional calculus.
16.
The decorated capitals in the transept and chancel are funerary symbols, with the skulls symbolizing death and the phoenix symbolizing resurrection : this humanist iconography forms a logical expression of triumph over death and glorification of the institution of the Crown.
17.
In such case one can make use of the fact the logical expression can have only one of TWO values ( so two expressions are different iff exactly one of them is true ), and just utilize the'is equal'operator .-- talk ) 15 : 29, 17 April 2012 ( UTC)
18.
The notation was originally introduced by Kenneth E . Iverson in his programming language APL, though restricted to single relational operators enclosed in parentheses, while the generalisation to arbitrary statements, notational restriction to square brackets, and applications to summation, was advocated by Donald Knuth to avoid ambiguity in parenthesized logical expressions.
19.
He also articulates the distinction in an informal ( and wittily expressed ) way, that sabotaging logical expressions is like derailing cognitive achievement " en route ", so that it can never arrive anywhere; while neutralizing success-words is more like blowing up any cognitive achievement at the destination, so it can never be recognized as having arrived.
20.
According to linguist William Harris, " Just as the Renaissance confirmed Greco-Roman tastes in poetry, rhetoric and architecture, it established ancient Grammar, especially that which the Roman school-grammarians had developed by the 4th [ century CE ], as an inviolate system of logical expression . " The earliest descriptions of other European languages were modeled on grammars of Latin.
