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H. Hodes. Three-valued logics: An introduction, a comparison of various logical lexica, and some philosophical remarks. Annals of Pure and Applied Logic, 2(43):99--145, 1989.

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A Quantifier-Free Completion of Logic Programs - Stärk (1990)   (Correct)

....are interpreted as infinite disjunctions or conjunctions. For example A(#XF,#) t i# there is an element a # A such that A(F, #[X a] t and A(#XF,#) f i# for all a # A A(F, #[X a] f . A survey of this logic can be found in [12] and a survey of 3 valued logic can be found in [6]. What is the 3 valued interpretation of a sequent # # # of S Intuitively the sequent # # # is true i#, if all F in # are true then there is a G in # which is true and if all G in # are false then there is a F in # which is false. Let A be a 3 valued structure. We say that A(# # #, ....

H. Hodes. Three-valued logics: An introduction, a comparison of various logical lexica, and some philosophical remarks. Annals of Pure and Applied Logic, 2(43):99--145, 1989.


Simple Consequence Relations - Avron (1991)   (60 citations)  (Correct)

....that the set of of sequents that can be shown to hold by a given formal representation is an r.e. set. A third property that we would like an adequate representation of to have, but can in principle be achieved (by Church s thesis) only if the represented C.R. is r.e. is: 24 In fact, Hodges ([Ho],p.26) defines a formal system ( or a formal proof calculus ) to be a device for proving sequents in a language L. 23 Completeness: Whenever Gamma Delta the representation can be used to show this. In an adequate formal representation of a C.R. it should be possible to express every ....

Hodes H., Three-valued Logics: An Introduction, a Comparison of Various Logical Lexica, and some Philosophical Remarks, Annals of Pure and Appl. Logic, vol. 43 (1989), pp. 99-145.


A Kleene Analysis of Mobile Ambients - Nielson, Nielson, Sagiv (2000)   (10 citations)  (Correct)

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H. Hoddes. Three-Valued Logics: An Introduction, A Comparison of Various Logical Lexica, and Some Philosophical Remarks. In Annals of Pure and Applied Logic, 1989.

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