In constructive mathematics, Church's thesis C T {\displaystyle {\mathrm {CT} }} is the principle stating that all total functions are computable functions...

the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's thesis, Church's conjecture...

Axiom schema of predicative separation Constructive mathematics Constructive analysis Constructive Church's thesis rule and principle Computable set Diaconescu's...

Hilbert and Bernays, the constructive recursive mathematics of mathematicians Shanin and Markov, and Bishop's program of constructive analysis. Constructivism...

computable Church's thesis (constructive mathematics), an axiom in constructive mathematics which states that all total functions are computable Church (disambiguation)...

1928 using intuitionistic principles, and can also be proven using Church's thesis. The analogous property in classical analysis is the fact that every...

In mathematics, constructive analysis is mathematical analysis done according to some principles of constructive mathematics. The name of the subject...

Constructive analysis Church's thesis (constructive mathematics) Limited principle of omniscience Margenstern, Maurice (1995). "L'école constructive de...

to solve the problem by changing of logical framework, such as constructive mathematics and intuitionistic logic. Roughly speaking, the first one consists...

halting problem. In response, Tegmark notes: sec. V.E  that a constructive mathematics formalized measure of free parameter variations of physical dimensions...

Robin, 1978, Church's Thesis and the Principles for Mechanisms, in (Barwise et al. 1980:123-148) George, Alexander (+ed.), 1994, Mathematics and Mind, 216...

In mathematics, and particularly in set theory, category theory, type theory, and the foundations of mathematics, a universe is a collection that contains...

Principles of Mathematical Logic. AMS Chelsea Publishing, Providence, Rhode Island, USA, 1950 Church's paper was presented to the American Mathematical Society...

particularly the proof theory of constructive mathematics based on the Curry–Howard correspondence, one often identifies a mathematical proposition with its set...

set theory model theory recursion theory, and proof theory and constructive mathematics (considered as parts of a single area). Additionally, sometimes...

Mathematical induction is a method for proving that a statement P ( n ) {\displaystyle P(n)} is true for every natural number n {\displaystyle n} , that...

corresponding parts, with part D being about "Proof Theory and Constructive Mathematics". Prawitz (1965, p. 98). Girard, Taylor & Lafont 2003. Chaudhuri...

published by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The theorems are widely, but not universally,...

patterns of valid arguments, such as modus tollens, disjunctive syllogism, constructive dilemma, and existential generalization. Rules of inference include rules...

many adherents, and it was not until Bishop's work in 1967 that constructive mathematics was placed on a sounder footing. One may consider that Hilbert's...

In mathematics, Church encoding is a means of representing data and operators in the lambda calculus. The Church numerals are a representation of the...

them the infinite can never be completed: In classical mathematics there occur non-constructive or indirect existence proofs, which intuitionists do not...

constructive methods and algorithms to find numerical approximations (as opposed to symbolic manipulations) of solutions to problems in mathematical analysis...

{\displaystyle S} and a subset of S {\displaystyle S} . Also in constructive mathematics, there is no surjection from the full domain N {\displaystyle {\mathbb...

In mathematics, an expression is a written arrangement of symbols following the context-dependent, syntactic conventions of mathematical notation. Symbols...

(logic) Deductive system Interpretation (logic) Cantor's theorem Church's theorem Church's thesis Effective method Formal system Gödel's completeness theorem...

In mathematics, a structure on a set (or on some sets) refers to providing it (or them) with certain additional features (e.g. an operation, relation...

functions and the general recursive functions. According to the Church–Turing thesis, computable functions are exactly the functions that can be calculated...

"Thesis I" (p. 274); he would later repeat this thesis (in Kleene 1952:300) and name it "Church's Thesis"(Kleene 1952:317) (i.e., the Church Thesis)....

(1903–1979), was also a notable mathematician, making contributions to constructive mathematics and recursive function theory. Andrey Markov was born on 14 June...