WorldCat Identities

Kunen, Kenneth

Overview
Works: 26 works in 131 publications in 3 languages and 1,701 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other, Honoree
Classifications: QA9, 511.3
Publication Timeline
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Most widely held works by Kenneth Kunen
Set theory : an introduction to independence proofs by Kenneth Kunen( Book )

45 editions published between 1980 and 2006 in English and Undetermined and held by 567 WorldCat member libraries worldwide

Provability, Computability and Reflection
Handbook of set-theoretic topology by K Kunen( Book )

17 editions published between 1983 and 1991 in English and held by 384 WorldCat member libraries worldwide

This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest.In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhász on cardinal functions; Roitman and Abraham-Todorčević on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties
The Kleene Symposium : proceedings of the symposium held June 18-24, 1978 at Madison, Wisconsin, U.S.A. by Kleene Symposium( Book )

16 editions published in 1980 in English and Undetermined and held by 306 WorldCat member libraries worldwide

The foundations of mathematics by Kenneth Kunen( Book )

11 editions published between 2009 and 2012 in English and held by 70 WorldCat member libraries worldwide

Set theory by Kenneth Kunen( Book )

11 editions published between 2011 and 2013 in English and held by 41 WorldCat member libraries worldwide

Handbook of mathematical logic by Jon Barwise( Book )

3 editions published between 1977 and 1983 in English and Italian and held by 12 WorldCat member libraries worldwide

The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own
Inaccessibility properties of cardinals by Kenneth Kunen( Book )

5 editions published in 1968 in English and held by 9 WorldCat member libraries worldwide

On the structure and complexity of infinite sets with minimal perfect hash functions by Judith Goldsmith( Book )

1 edition published in 1990 in English and held by 6 WorldCat member libraries worldwide

On the other hand, we present evidence that some infinite NP sets, and indeed some infinite P sets, do not have polynomial-time computable minimal perfect hash functions: if an infinite NP set A has polynomial-time computable perfect minimal hash functions, then A has an infinite sparse NP subset, yet we construct a relativized world in which some infinite NP sets lack infinite sparse NP subsets. This world is built upon a result that is of interest in its own right; we determine optimally -- with respect to any relativizable proof technique -- the complexity of the easiest infinite sparse subsets that infinite P sets are guaranteed to have."
Logic for logic programmers by Kenneth Kunen( Book )

2 editions published in 1989 in English and held by 4 WorldCat member libraries worldwide

Abstract: "The goal of logic programming is that the program, or database, can be understood by logic alone, independently of any execution model. Attempts to realize this goal have made it clear that the logic involved must go beyond ordinary first-order logic. This survey will explore several topics of current interest in the logical meaning of logic programs, with particular attention paid to: (1) The meaning of negation; this still remains problematical, although many partial results are known. (2) The meaning of recursions; these imply a least fixed-point computation in deductive databases, and something else in Prolog. (3) The meaning of the Prolog builtin [sic] predicates, such as the evaluation of numeric terms. (4) The semantic meaning of the order in which a stream of answers is returned."
A completeness result for linked resolution by Kenneth Kunen( Book )

2 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide

In this paper, we prove the completeness of a version of linked resolution which limits the manner in which clauses may be used as linking clauses; the completeness of hyper-resolution is a special case of this."
Non-constructive computational mathematics by Kenneth Kunen( Book )

1 edition published in 1995 in English and held by 3 WorldCat member libraries worldwide

Abstract: "We describe a non-constructive extension to Primitive Recursive Arithmetic, both abstractly, and as implemented on the Boyer- Moore prover. Abstractly, this extension is obtained by adding the unbounded [mu] operator applied to primitive recursive functions; doing so, one can define the Ackermann function and prove the consistency of Primitive Recursive Arithmetic. The implementation does not mention the [mu] operator explicitly, but has the strength to define the [mu] operator through the built-in functions EVAL$ and V & C$."
The shortest single axioms for groups of exponent 4 by Kenneth Kunen( Book )

1 edition published in 1993 in English and held by 3 WorldCat member libraries worldwide

The semantics of answer literals by Kenneth Kunen( Book )

1 edition published in 1995 in English and held by 3 WorldCat member libraries worldwide

Abstract: "We describe a semantics for answer literals which is not tied to the specific details of the resolution proof procedure. We also describe a number of applications of answer literals to mathematical theorem proving."
Single axioms for groups by Kenneth Kunen( Book )

1 edition published in 1992 in English and held by 3 WorldCat member libraries worldwide

Abstract: "We study equations of the form ([alpha]=x) which are single axioms for group theory. Earlier examples of such were found by Neumann and McCune. We prove some lower bounds on the complexity of such [alpha], showing that McCune's examples are the shortest possible. We also show that no such [alpha] can have only two distinct variables. We do produce an [alpha] with only three distinct variables, refuting a conjecture of Neumann. Automated reasoning techniques are used both positively (searching for and verifying single axioms) and negatively (proving that various candidate ([alpha]=x) hold in some non-group and are hence not single axioms)."
Signed data dependencies in logic programs by Kenneth Kunen( Book )

2 editions published in 1987 in English and held by 3 WorldCat member libraries worldwide

Measures on Corson compact spaces by Kenneth Kunen( Book )

1 edition published in 1994 in English and held by 3 WorldCat member libraries worldwide

Shūgōron : Dokuritsusei shōmei eno annai( Book )

2 editions published in 2008 in Japanese and held by 2 WorldCat member libraries worldwide

Single axioms for odd exponent groups by J Hart( Book )

1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide

Abstract: "With the aid of automated reasoning techniques, we show that all previously known short single axioms for odd exponent groups are special cases of one general schema. We also demonstrate how to convert the proofs generated by an automated reasoning system into proofs understandable by a human."
A completeness theorem for multiple chaining by Kenneth Kunen( Book )

1 edition published in 1980 in English and held by 1 WorldCat member library worldwide

Proceedings by Kleene Symposium( Book )

1 edition published in 1980 in English and held by 1 WorldCat member library worldwide

 
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Set theory : an introduction to independence proofs
Alternative Names
Kenneth Kunen Amerikaans wiskundige

Kenneth Kunen amerikansk matematikar

Kenneth Kunen amerikansk matematiker

Kenneth Kunen US-amerikanischer Mathematiker, Professor für Mathematik

Kunen, Herbert Kenneth 1943-

Kunen, Ken 1943-

Kunen, Kenneth

キューネン, ケネス

ケネス・キューネン

肯尼思·丘嫩

Languages
Covers
The foundations of mathematicsHandbook of mathematical logic