Logic, Meaning and Computation (eBook, PDF)

Essays in Memory of Alonzo Church
Redaktion: Anderson, C. Anthony; Zelëny, Michael

• Format: PDF

Produktbeschreibung

Zur Zeit liegt uns keine Inhaltsangabe vor.

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 627
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9789401005265
• Artikelnr.: 44046560

Inhaltsangabe

Logic, truth and number: The elementary genesis of arithmetic.- Second-order logic.- A representation of relation algebras using Routley-Meyer frames.- Church's set theory with a universal set.- Axioms of infinity in Church's type theory.- Logical objects.- The lambda calculus and adjoint functors.- Atomic Boolean algebras and classical propositional logic.- Improved decision procedures for pure relevant logic.- The "triumph" of first-order languages.- Equivalence relations and groups.- Discriminating coded lambda terms.- ?-calculus as a foundation for mathematics.- Peano's lambda calculus: The functional abstraction implicit in arithmetic.- The undecidability of ?-definability.- A construction of the provable wellorderings of the theory of species.- Semantics for first and higher order realizability.- Language and equality theory in logic programming.- Alternative (1*): A criterion of identity for intensional entities.- Nominalist paraphrase and ontological commitment.- Peace, justice and computation: Leibniz' program and the moral and political significance of Church's theorem.- Tarski's theorem and NFU.- Church's theorem and randomness.- Russellian type theory and semantical paradoxes.- The logic of sense and denotation: Extensions and applications.- Analysis, synonymy and sense.- The very possibility of language.