In lambda calculus, the Church–Rosser theorem states that, when applying reduction rules to terms, the ordering in which the reductions are chosen does...

known for his part in the Church–Rosser theorem in lambda calculus. He also developed what is now called the "Rosser sieve" in number theory. He was part...

of mathematical logic, Introduction to Mathematical Logic. The Church–Rosser theorem The lambda calculus emerged in his 1936 paper showing the unsolvability...

form of a term, if one exists, is unique (as a corollary of the Church–Rosser theorem). However, a term may have more than one head normal form. In the...

calculus has this property is also known as the Church–Rosser theorem.) In a rewriting system with the Church–Rosser property the word problem may be reduced...

application of the reduction steps eventually terminates, then by the Church–Rosser theorem it will produce a β-normal form. Variable names are not needed if...

Lambda calculus Church-Rosser theorem Calculus of constructions Combinatory logic Post correspondence problem Kleene's recursion theorem Recursively enumerable...

Cantor–Bernstein–Schröder theorem (set theory, cardinal numbers) Cantor's theorem (set theory, Cantor's diagonal argument) Church–Rosser theorem (lambda calculus)...

gave a series of lectures on his theorems at Princeton in 1933–1934 to an audience that included Church, Kleene, and Rosser. By this time, Gödel had grasped...

Referential transparency Currying Lambda abstraction Church–Rosser theorem Extensionality Church numeral Fixed point combinator SKI combinator calculus...

Physics. Springer Verlag. Rosser, J. B. (1939). "An Informal Exposition of Proofs of Godel's Theorem and Church's Theorem". The Journal of Symbolic Logic...

Tool for Automatic Formula Manipulation, with Application to the Church-Rosser Theorem" (PDF). Indagationes Mathematicae. 34: 381–392. ISSN 0019-3577....

sometimes called weak confluence. Theorem. For an ARS the following three conditions are equivalent: (i) it has the Church–Rosser property, (ii) it is confluent...

algorithm was proven to be impossible by Alonzo Church and Alan Turing in 1936. By the completeness theorem of first-order logic, a statement is universally...

tool for automatic formula manipulation, with application to the Church-Rosser theorem." Indagationes Mathematicae (Proceedings). Vol. 75. No. 5. North-Holland...

University Press. ISBN 9780521779203. Ohlebusch, Enno (1998). "Church-Rosser theorems for abstract reduction modulo an equivalence relation". Rewriting...

In mathematical logic, Rosser's trick is a method for proving a variant of Gödel's incompleteness theorems not relying on the assumption that the theory...

Boyer–Moore theorem prover to prove metatheorems such as the tautology theorem, Godel's incompleteness theorem and the Church-Rosser theorem. He has contributed...

Rxz_{0}\rightarrow \exists z_{1}(Rx_{1}z_{1}\land Rz_{0}z_{1})]} , and it is the Church–Rosser property. ◻ ◊ p → ◊ ◻ p {\displaystyle \Box \Diamond p\rightarrow \Diamond...

full-time. Rosser was well known for his research in pure mathematics, logic (Rosser's trick, the Kleene–Rosser paradox, and the Church–Rosser theorem) and...

on Church's thesis". Notre Dame Journal of Formal Logic. 28 (4): 490–498. Oct 1987. doi:10.1305/ndjfl/1093637645. Kleene–Brouwer order Kleene–Rosser paradox...

 115 Lucas 2021. Kleene 1952, p. 382. Rosser, "Informal Exposition of Proofs of Gödel's Theorem and Church's Theorem", reprinted in Davis 1965, p. 223 letter...

music critic, complications from surgery. J. Barkley Rosser, 81, American logician (Church–Rosser theorem), aneurysm. Jessie Mae Brown Beavers, 66, American...

(Sep., 1936), pp. 103–105. Rosser. J. B., 1939, An informal exposition of proofs of Gödel's Theorem and Church's Theorem, The Journal of Symbolic Logic...

needed] and in lambda calculus as a manner of reduction having the Church–Rosser property. An amalgam can be formally defined as a 5-tuple (A,f,B,g,C)...

Alonzo Church (a system which had the lambda calculus as a consistent subsystem) and Curry's own system. However, unlike Church, Kleene, and Rosser, Curry...

to prove the incompleteness theorems. The main results established are Gödel's first and second incompleteness theorems, which have had an enormous impact...

Reference. Retrieved 2022-06-12. Aaronson, Scott (21 July 2011). "Rosser's Theorem via Turing machines". Shtetl-Optimized. Retrieved 2 November 2022....

In mathematics, an impossibility theorem is a theorem that demonstrates a problem or general set of problems cannot be solved. These are also known as...

It is predicative, all well-typed terms are strongly normalizing and Church-Rosser and the property of being well-typed is decidable. However, type inference...