Sentence examples for constructive logic from inspiring English sources
noun
Any kind of logic in which any proof of existence can be converted into an algorithm which constructs the mathematical object which it claims to exist.
The course will cover elements of the Coq and Nuprl proof assistants and discuss new proof assistants being built, such as Idris and F* at MSR. Coq and Nuprl use constructive logic, so that topic will also be covered from the start, and teaching constructive logic will be a review of basic logic.
LINCOS, based on formal constructive logic, was primarily designed for dealing with logic contents of messages but is also applicable for denoting structural properties of more general abstractions embedded in such messages.
Moving beyond first-order logic, λProlog (Miller and Nadathur 1988) bases the language on higher-order constructive logic.
Constructive logic in that sense was a success, and it became fundamental to Hilbert's Program as well.
Like Nelson's four-valued constructive logic N4, C is a paraconsistent logic (cf. the entry logic: paraconsistent).
But the true depth of the connection between AC and logic emerges only when intuitionistic or constructive logic is brought into the picture.
For Nelson's constructive logics see, for example, Almukdad and Nelson 1984, Gurevich 1977, Nelson 1949, Odintsov 2008, Routley 1974, Thomason 1969, Wansing 2001, Kamide and Wansing 2012.
However, Floridi is aware of the connections between KTB and constructive logics, and Primiero (2006, 2008) extends Floridi's work into a type-theoretical constructive framework for becoming informed.
To work on a historic palace of such great importance means, in the first instance, to understand the building, its internal rationality and constructive logics, but above all to prompt a new identity.
A comprehensive algebraic study of Nelson's constructive logics with strong negation can be found in Odintsov 2008; substructural subsystems of Nelson's logics have been considered in Wansing 1993.[2] Logics of falsification are also studied in Wansing 2013, Kapsner 2014.
Moreover, it can be shown that every Tarskian consequence relation has a bivalent, although non-compositional semantics, cf. Malinowski 1993, Shramko and Wansing 2011: Chapter 9. 2. The basic systems of Nelson's constructive logics with strong negation, N4 and N4$^{\bot}$, have a four-valued possible worlds semantics.
