Contextual Abductive Reasoning with Side-Effects

Luis Moniz Pereira, Emmanuelle-Anna Dietz, Steffen Hoelldobler

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

The belief bias effect is a phenomenon which occurs when we think that we judge an argument based on our reasoning, but are actually influenced by our beliefs and prior knowledge. Evans, Barston and Pollard carried out a psychological syllogistic reasoning task to prove this effect. Participants were asked whether they would accept or reject a given syllogism. We discuss one specific case which is commonly assumed to be believable but which is actually not logically valid. By introducing abnormalities, abduction and background knowledge, we adequately model this case under the weak completion semantics. Our formalization reveals new questions about possible extensions in abductive reasoning. For instance, observations and their explanations might include some relevant prior abductive contextual information concerning some side-effect or leading to a contestable or refutable side-effect. A weaker notion indicates the support of some relevant consequences by a prior abductive context. Yet another definition describes jointly supported relevant consequences, which captures the idea of two observations containing mutually supportive side-effects. Though motivated with and exemplified by the running psychology application, the various new general abductive context definitions are introduced here and given a declarative semantics for the first time, and have a much wider scope of application. Inspection points, a concept introduced by Pereira and Pinto, allows us to express these definitions syntactically and intertwine them into an operational semantics.

Original languageEnglish
Pages (from-to)633-648
Number of pages16
JournalTheory and Practice of Logic Programming
Volume14
Issue numberSI
DOIs
Publication statusPublished - Jul 2014
Event30th International Conference on Logic Programming (ICLP 2014) - Vienna, Austria
Duration: 19 Jul 201422 Jul 2014
Conference number: 30th

Keywords

  • Abductive Reasoning
  • Contextual Reasoning
  • Side-effects
  • Human Reasoning
  • Belief-Bias
  • Inspection Points
  • Three-valued Lukasiewicz Logic
  • Weak Completion Semantics
  • Logic Programming
  • LOGIC
  • SEMANTICS

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