
	Where results make sense

Topic: Leon Henkin

Related Topics

Predicate calculus

In the News (Sun 27 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Leon Henkin - Wikipedia, the free encyclopedia
		Leon Henkin is a logician, currently Emeritus Professor at the University of California at Berkeley.
		He is principally known for the "Henkin Completeness Proof": his version of the proof of the semantic completeness of standard systems of first-order logic.
		Henkin's result was not novel — it had first been proved by Kurt Gödel in his doctoral dissertation which was completed in 1929.
	en.wikipedia.org /wiki/Leon_Henkin (244 words)

	Higher-order logic - Wikipedia, the free encyclopedia
		Higher-order logics are more expressive, but their properties, in particular with respect to model theory, make them less well-behaved for many applications.
		By a result of Gödel, classical higher-order logic does not admit a (recursively axiomatized) sound and complete proof calculus; however, such a proof calculus does exist which is sound and complete with respect to Henkin models.
		Henkin, L., "Completeness in the Theory of Types", Journal of Symbolic Logic, vol.
	www.wikipedia.org /wiki/Higher_order_logic (274 words)

	Leon Henkin: Facts and details from Encyclopedia Topic (Site not responding. Last check: 2007-11-02)
		He is principally known for the "Henkin Completeness Proof": his version of the proof of the semantic completeness[Click link for more facts about this topic] of standard systems of first-order logic First-order predicate calculus quick summary:
		Henkin's result was not novel — it had first been proved by Kurt Gödel[For more, click on this link] in his doctoral dissertation which was completed in 1929.
		Emil leon post (february 11 1897 - april 21 1954) was a polish-american mathematician and logician....
	www.absoluteastronomy.com /encyclopedia/l/le/leon_henkin.htm (558 words)

	Leon Henkin (Site not responding. Last check: 2007-11-02)
		Henkin's result was not novel - it first been proved by Kurt Gödel in his doctoral dissertation which was in 1929.
		Gödel published a version of the in 1930.) Henkin's proof is much easier survey than Gödel's and has thus become standard choice of completeness proof for presentation introductory classes and texts.
		A story I read about Leon Fleisher told that the repetitive strain injury that made an early end to his two-handed career, was a result of his heavy studying of the second Brahms concerto.
	www.freeglossary.com /Henkin (509 words)

	Leon Henkin (Site not responding. Last check: 2007-11-02)
		He is principally known for the "HenkinCompleteness Proof": his version of the proof of the semantic completeness of standard systems of first-order logic.
		Henkin's result was not novel - it had first been proved by Kurt Gödel inhis doctoral dissertation which was completed in 1929.
		Gödel published a version of the proof in 1930.) Henkin's proofis much easier to survey than Gödel's and has thus become the standard choice of completeness proof for presentation inintroductory classes and texts.
	www.therfcc.org /leon-henkin-61552.html (157 words)

	iqexpand.com (Site not responding. Last check: 2007-11-02)
		He is principally known for the "Henkin Completeness Proof": his version of the proof of the semantic...
		This is an interview of Leon Henkin and Albert Tucker on 18 May 1984 in Berkeley, California.
		Jabari Mahiri, Associate Professor of Language and Literacy, Society and Culture, has been awarded the Leon Henkin Citation for Distinguished Service, which is presented to a faculty member for...
	leon_henkin.iqexpand.com (354 words)

	Completeness of Predicate Calculus
		In light of the fact that there is no decision procedure for theoremhood in the predicate calculus this is a remarkable result that cannot be constructive for then there would be a decision procedure.
		The final exam for one course that I took was the regurgitation of Leon Henkin’s simplified proof of the theorem.
		The denumerable models generated by Henkin’s method are not constructive for while the top level the proof is constructive, the consistency decisions are not.
	www.cap-lore.com /MathPhys/Complete.html (851 words)

	DBLP: Leon Henkin
		Leon Henkin: An Extension of the Craig-Lyndon Interpolation Theorem.
		Leon Henkin: A Generalization of the Concept of omega-Completeness.
		Richard Montague, Leon Henkin: On the Definition of 'Formal Deduction'.
	www.informatik.uni-trier.de /~ley/db/indices/a-tree/h/Henkin:Leon.html (116 words)

	Citations: Completeness in the theory of types - Henkin (ResearchIndex) (Site not responding. Last check: 2007-11-02)
		The basic feature of a Henkin model M of a theory T is that a function type Z (or power type 2) is interpreted by a subset (Z) M ae (ZM) of the set of all functions from YM....
		Combining Henkin s proof and the standard proof of Heyting valued completeness for first order intuitionistic logic one shows that our logic L (but in fact, full intuitionistic second order logic) is complete with respect to Heyting valued Henkin models.
		The basic feature of a Henkin model M of a theory T is that a function type Z Y (or power type 2 Y) is interpreted by a subset (Z Y) M ae (ZM) Y M) of the set of all....
	citeseer.ist.psu.edu /context/105251/0 (5439 words)

	Leon henkin - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-11-02)
		Start the Leon henkin article or add a request for it.
		Look for Leon henkin in Wiktionary, our sister dictionary project.
		Look for Leon henkin in the Commons, our repository for free images, music, sound, and video.
	www.sciencedaily.com /encyclopedia/leon_henkin (135 words)

	Citations: and Alfred Tarski - Henkin, Monk (ResearchIndex) (Site not responding. Last check: 2007-11-02)
		Leon Henkin, J. Donald Monk, and Alfred Tarski.
		Leon Henkin, J. Donald Monk, and Alfred Tarski, Cylindric Algebras, Part I, North-- Holland, Amsterdam, 1971.
		Leon Henkin, J. Donald Monk, and Alfred Tarski, Cylindric Algebras, Part I, North-Holland, Amsterdam, 1971.
	citeseer.ist.psu.edu /context/302187/0 (1056 words)

	Leon Henkin: Facts and details from Encyclopedia Topic (Site not responding. Last check: 2007-11-02)
		Leon Henkin is a logician, Exception Handler: No article summary found.
		He is principally known for the "Henkin Completeness Proof": his version of the proof of the semantic completeness (The state of being complete and entire; having everything that is needed)
		Henkin's result was not novel — it had first been proved by Kurt Gödel[click link for more facts about this subject] in his doctoral dissertation which was completed in 1929, Exception Handler: No article summary found.
	www.absoluteastronomy.com /ref/leon_henkin (640 words)

	Semantics of logic - Wikipedia, the free encyclopedia
		The truth conditions for quantified formulas are given purely in terms of truth with no appeal to domains whatsoever (and hence its name truth-value semantics).
		Game-theoretical semantics has made a resurgence lately mainly due to Jaakko Hintikka for logics of (finite) partially ordered quantification which were originally investigated by Leon Henkin who studied Henkin quantifiers.
		Probabilistic semantics originated from H. Field and has been shown equivalent to and a natural generalization of truth-value semantics.
	en.wikipedia.org /wiki/Semantics_of_logic (454 words)

	Master Thesis: Completeness Results for Higher-Order Logic (Site not responding. Last check: 2007-11-02)
		In its modern form, higher-order logic is based on Alonzo Church’s simply typed lambda-calculus [8] and the formulations by Leon Henkin [23] and Peter Andrews [4].
		Based on a result by Henkin [23], we show completeness, and even decidability, of propositional type theory (PTT), a logic where the domain of individuals coincides with that of truth values.
		Unlike Henkin, we consider a finite axiomatization of PTT which uses no polymorphic constants.
	www.ps.uni-sb.de /~kaminski/mthesis/mthesis.html (1073 words)

	The Princeton Mathematics Community in the 1930s: Abstracts (Site not responding. Last check: 2007-11-02)
		This is an interview of Leon Warren Cohen at Princeton University on 13 April 1984.
		This is an interview of Alfred Leon and Ilse Foster, Derrick and Emma Lehmer, and Frances Morrey (wife of Charles B. Morrey, Jr.) on 18 May 1984 in Berkeley, California.
		Henkin relates some of his experiences (with Hermann Weyl, Solomon Lefschetz, and others) as a graduate student at Princeton.
	libweb.princeton.edu /libraries/firestone/rbsc/finding_aids/mathoral/pm04.htm (4379 words)

	[No title]
		Dissertation in the area of algebraic logic, under Leon Henkin.
		Co-directors of the grant were Professors Robert B. Davis, Director of the Madison Project, and Leon Henkin.
		1966 and 1970: Research assistant in mathematics at the University of California under an NSF grant directed by Alfred Tarski and Leon Henkin.
	math.sfsu.edu /resek/Resume_2003.doc (1771 words)

	Logic and Games (Site not responding. Last check: 2007-11-02)
		The first half of the twentieth century was an era of increasing rigour and professionalism in logic, and to most logicians of that period the use of games in logic would probably have seemed frivolous.
		In the late 1950s Leon Henkin noticed that we can intuitively understand some sentences which can't be handled by Tarski's definition.
		Strictly Henkin used the game only as a metaphor, and the truth condition that he proposed was that the skolemised version of the sentence is true, i.e.
	www.science.uva.nl /~seop/entries/logic-games (7050 words)

	Bachelor Thesis: Studies in Higher-Order Equational Logic (Site not responding. Last check: 2007-11-02)
		Higher-order logic, also known as type theory, has been introduced in 1908 by Bertrand Russell [33] as a formal basis for mathematical reasoning, based on a functional view of logic originally developed by Gottlob Frege [13].
		In its modern form, type theory is based on Alonzo Church’s simply typed lambda-calculus [8] and the formulations by Leon Henkin [22] and Peter Andrews [4].
		Over the years type theory has become an integral part of every subject of study that is in some way concerned with the relationship between computation and logical reasoning.
	www.ps.uni-sb.de /~kaminski/bthesis/bthesis.html (962 words)

	03.07.2001 - Dancing with ‘dream machines’
		And when I met her, she confirmed that,” said Leon Henkin, professor emeritus of mathematics.
		Henkin said this is the first time he’s been consulted on a dance project.
		Although admittedly a bit confused by the lack of music accompanying the dance lab work of Streb, Henkin said he is anxious to see the dancers in action.
	www.berkeley.edu /news/berkeleyan/2001/03/07_dance.html (812 words)

	The Daily Californian (Site not responding. Last check: 2007-11-02)
		Along with an academic interest in the project, Martin and Henkin brought dance backgrounds to the creation of equipment.
		While Martin majored in dance in college and danced for a Denver ballet company, Henkin said his dance experience was sparked by a desire to meet girls.
		When Henkin learned of Streb's non-musical performances, he said he did not understand how that was possible-until he saw an actual performance.
	www.dailycal.org /printable.php?id=4781 (592 words)

	NORM
		As Löb's paradox was uncovered by L.Henkin as an analogue to Löb's theorem, paradoxes as analogues to Gödel's Second Incompleteness Theorem are derived in this paper from an inconsistent set of sentences arising from Gödel's Second Incompleteness Theorem.
		Since Löb's announcement of his solution to Henkin's problem ([LÖB54], [LÖB55]) there has been successful and fruitful research on provability logic tied up with modal logic.
		Thus, the proofs of the provable equivalence between G2 and LT show that G2 is of central importance for the topic of formal provability.
	nb.vse.cz /kfil/elogos/logpoint/93-2/KIM.htm (682 words)

	Footnotes
		Branching quantifiers were introduced by Leon Henkin, ``Some Remarks on Infinitely Long Formulas'', in Infinitistic Methods, Warsaw, 1959, pp.
		Krynicki and A. Lachlan, ``On the Semantics of Henkin Quantifier'', Journal of Symbolic Logic, vol.
		184-200) that the logic which extends first-order logic with the Henkin quantifier is incomplete.
	www.hf.uio.no /ifikk/filosofi/njpl/vol1no2/revolution/footnode.html (608 words)

	Nick Kuhn, University of Virginia
		I have greatly enjoyed the international flavor of the mathematical community, and have had the opportunity to give talks in Canada, Mexico, France, Great Britain, Germany, Italy, Poland, Spain, Switzerland, Japan, and Vietnam.
		A strong personal connection to the world of mathematics has roots in my family history: both my father, Harold Kuhn, and uncle, Leon Henkin, are well-known mathematicians, and I have many early childhood memories of Princeton's 'old' Fine Hall.
		I have been interested in algebraic topology since my undergraduate days, and have enjoyed witnessing, and being part of, the many dramatic new developments in this subject since 1980.
	www.math.virginia.edu /Faculty/Kuhn (1090 words)

	Cylindric Algebras - Leon Henkin Alfred Tarski J Donald Monk (Site not responding. Last check: 2007-11-02)
		Leon Henkin Alfred Tarski J Donald Monk Publications
		Isbn: 0720420431 by Leon Henkin Alfred Tarski J Donald Monk
		leon henkin hencin eon lon len leo leonhenkin enkin hnkin hekin henin henkn henkicook book
	www.booksnew.com /582531_leon-henkin-alfred-tarski-j-donald-monk_0720420431cylindricalgebrascookbook.html (191 words)

	PDP TA Reference Handbook
		Dara Sandow and James Epperson at the Dana Center in UT Austin wrote the materials in Chapter 5.
		Lana Fukasawa contributed ideas on student life and Professor Leon Henkin contributed a brief history of PDP.
		There were a few sources which may not have actually ended up in the book, but which we find particularly worth looking at: the MAA book, You're the Professor, What's Next; and the Graduate Assembly's fine Learning to Teach book, which needs an update.
	www.betterfilecabinet.com /pdp (656 words)

	User:Vanden - TheBestLinks.com - Alfred Tarski, Longest English sentence, Leon Henkin, List of logicians, ... (Site not responding. Last check: 2007-11-02)
		I am a graduate student in the philosophy of mathematics and logic at McGill University in Montreal, Canada.
		I created an account after seeing how quickly my poorly formatted addition to the Alfred Tarski article was updated.
		Here are links to the entries on the Longest English sentence, List of logicians and Leon Henkin just so they won't be orphans.
	www.thebestlinks.com /User__3A__Vanden.html (121 words)

	The Princeton Mathematics Community in the 1930s (PMC14) (Site not responding. Last check: 2007-11-02)
		Henkin: Well, I was an undergraduate at Columbia, Class of '41.
		Henkin: I do remember one particular encounter with Professor Lefschetz, who was then the chairman of the department.
		Finally Al turned to me saying, "Dr. Henkin, what is the matter with you?" I said, "Well, Professor Tucker, my vest is very uncomfortable." And he said, "Well then take it off." Whereupon I stood up and removed my vest without taking off my jacket, which was the whole point of the little skit.
	libweb.princeton.edu /libraries/firestone/rbsc/finding_aids/mathoral/pmc14.htm (18319 words)

	UC Berkeley Mathematics
		To reduce spam, this address is javascript encoded.
		Henkin, Leon and Monk, J. Donald and Tarski, Alfred (1986).
		Henkin, Leon and Monk, J. Donald and Tarski, Alfred (1985).
	math.berkeley.edu /index.php?module=mathfacultyman&MATHFACULTY_MAN_op=sView&MATHFACULTY_id=121 (105 words)

	Notes on the Symposium Report, The Role of Axiomatics and Problem Solving in Mathematics, published by the Conference ...
		Leon Henkin was a logician, a student of the famous Alonzo Church at Princeton and himself a longtime professor at Berkeley.
		Henkin begins by listing what he considers the most important features of an axiomatic presentation: (a) its organizing power, (b) the possibility of more than one model for the axiom system under study (e.g.
		Henkin therefore advocates – for this purpose – the study of number systems.
	www.math.rochester.edu /people/faculty/rarm/axiomatics.html (8542 words)

	Provability Logic
		In 1952, L. Henkin posed a deceptively simple question inspired by Gödel's incompleteness theorems.
		In order to formulate Henkin's question, some more background is needed.
		Henkin on the other hand wanted to know whether anything could be said about sentences asserting their own provability: supposing that Peano Arithmetic proves B
	plato.stanford.edu /entries/logic-provability (4840 words)

Try your search on: Qwika (all wikis)