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A General GUHA-Method with Associational Quantifers

  • Petr Hájek
  • Tomáš Havránek
Chapter
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Part of the Universitext book series (UTX)

Abstract

In the present chapter, we use the considerations of Chapter VI for the description and investigation of a particular (rather complex ) GUHA-method. The whole chapter can be viewed as an extensive example capable of concrete machine realization ( c f. the postscript). Remember the notion of a GUHA-method as a parametrical system < ℒ(P) ℘(P), X(P):P parameter> where each ℒ(P) is a semantic system, ℘(P) is an r-problem in ℒ(P), and X (P) is a function associating with each model M of ℒ(P) a solution of ℘(P) in M. The whole of Section 1 is in fact a single (commented) definition: We successively define the set Par of parameters, and the system ( p) and the r-problem ℘(P)defined by the parameter p. In fact, we do not define a single method since some details remain undecided. First, we neglect some formal questions concerning the particular representation (coding) of things, i. e. Par will not be defined uniquely as a set, and, secondly, we do not discuss questions of the particular bounds for various subparameters since this question is relevant only when one is going to write a program f o r a particular machine. Hence, the notion we shall define i s :Y is a GUHA-method with associational quantifiers. We wish to avoid unnecessary formalism: one can read Section 1 as a list (review) of aspects involved in determining an r-problem with an associational quantifier.

Keywords

Correlational Quantifier Function Symbol Relevant Question Critical Pair Incompressibility Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

  • Petr Hájek
    • 1
  • Tomáš Havránek
    • 2
  1. 1.Mathematical InstituteCzechoslovak Academy of SciencesPrahaCzechoslovakia
  2. 2.Department of BiomathematicsCzechoslovak Academy of SciencesPrahaCzechoslovakia

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