Applying Boolean discrete methods in the production of a real-valued probabilistic programming model

02/18/2016
by   Jonathan Darren Nix, et al.
0

In this paper we explore the application of some notable Boolean methods, namely the Disjunctive Normal Form representation of logic table expansions, and apply them to a real-valued logic model which utilizes quantities on the range [0,1] to produce a probabilistic programming of a game character's logic in mathematical form.

READ FULL TEXT VIEW PDF

page 1

page 2

page 3

page 4

11/18/2020

Isoperimetric Inequalities for Real-Valued Functions with Applications to Monotonicity Testing

We generalize the celebrated isoperimetric inequality of Khot, Minzer, a...
12/04/1998

Name Strategy: Its Existence and Implications

It is argued that colour name strategy, object name strategy, and chunki...
04/23/2019

A formalization of forcing and the unprovability of the continuum hypothesis

We describe a formalization of forcing using Boolean-valued models in th...
09/05/2021

Steady state distributions in generalized exclusion processes

The asymmetric simple exclusion process (ASEP) is a model of particle tr...
08/06/2021

Smooth Symbolic Regression: Transformation of Symbolic Regression into a Real-valued Optimization Problem

The typical methods for symbolic regression produce rather abrupt change...
05/19/2020

On Restricting Real-Valued Genotypes in Evolutionary Algorithms

Real-valued genotypes together with the variation operators, mutation an...
07/22/2019

Aggregating Probabilistic Judgments

In this paper we explore the application of methods for classical judgme...

References

  • [1] Boole, G. (Reprinted 2012). An Investigation of the Laws of Thought. Newburyport: Dover Publications.
  • [2] Peirce, C., & Hartshorne, C. (n.d.). Collected papers of Charles Sanders Peirce, (Vol. II).
  • [3] The Bureau of Naval Personnel. (UNCLASSIFIED OCT 20 1964). Basic Laws and Common Identities of Boolean Algebra. NAVPERS 92901: Boolean Algebra.
  • [4] Kandel, A., & Langholz, G. (1994). Fuzzy control systems. Boca Raton: CRC Press.
  • [5] Reghiş, M., & Roventa, E. (1998). Logical Networks. Classical and fuzzy concepts in mathematical logic and applications. Boca Raton: CRC Press.
  • [6] Holdsworth, B., & Woods, R. C. (2002). Digital logic design. Oxford: Newnes.
  • [7] O’Donnell, R. (2014). Analysis of Boolean functions. New York, NY: Cambridge Univ. Press.