Abstract
Executive function has become an important concept in explanations of psychiatric disorders, but we currently lack comprehensive models of normal executive function and of its malfunctions. Here we illustrate how defeasible logical analysis can aid progress in this area. We illustrate using autism and attention deficit hyperactivity disorder (ADHD) as example disorders, and show how logical analysis reveals commonalities between linguistic and non-linguistic behaviours within each disorder, and how contrasting sub-components of executive function are involved across disorders. This analysis reveals how logical analysis is as applicable to fast, automatic and unconscious reasoning as it is to slow deliberate cogitation.
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Notes
It may not be obvious that this is a planning problem at all, but Sect. 3.2 will make clear why this is so.
Section 5.1 will explain the connection with planning and closed world reasoning.
The formalism introduces just what is necessary to model the various tasks. A fully general formalism would have to use the ‘event calculus’, for which see van Lambalgen and Hamm (2004). Our formulation uses predicates which can take formulas as arguments. Strictly speaking this is not allowed in first order logic, but there are a number of technical tricks to deal with this issue. A general approach is given in (van Lambalgen and Hamm 2004 Chapter 6).
The abnormality ab b may be different for each concrete φ but in order not to overload notation we will not indicate this explicitly.
Five out of six subjects performed normally on this task.
There are 20 cards for each of the ‘go’ and ‘no go’ stimuli, so it is not a matter of building up a response bias.
This is a classic experimental paradigm for investigating the acquisition of temporal notions in children. See Berman and Slobin (1994) for methods, results, and last but not least, the frog pictures themselves.
One would expect that the re-planning involved in reversing the event order leads to a characteristic EEG signal. This is currently being tested (in a different but related context) at the F.C. Donders Centre for Neuroimaging Nijmegen.
See for example (van Lambalgen and Hamm 2004, p. 112–114) for a discussion of when clauses which establishes this point.
This said, we acknowledge that other approaches to autism such as Frith and Happé’s ‘weak central coherence’ theory (Happé 1994) need to be formalised as well to allow full comparisons. We have also said little about ‘simulation-based’ approaches (Harris 2000) which provide an alternative to ‘theory of mind’ explanations for performance in false belief tasks.
References
Berman R, Slobin De (1994) Relating events in narrative. Lawrence Erlbaum, Hillsdale, NJ
Blankenstijn C, Scheper A (2003) Language development in children with psychiatric impairment. LOT, Utrecht. Published version of PhD thesis
Byrne R (1989) Suppressing valid inferences with conditionals. Cognition 31:61–83
Clements W, Perner J (1994) Implicit understanding of belief. Cognitive Dev 9:377–395
Dieussaert K, Schaeken W, Schroyen W, d’Ydewalle G (2000) Strategies during complex conditional inferences. Think Reason 6(2):125–161
Happé F (1994) Autism: an introduction to psychological theory. UCL Press, London
Harris P (2000) The work of the imagination. Blackwell, Oxford and Boston
Harvey A, Watkins E, Mansell W, Shafran R (2004) Cognitive behavioural processes across psychological disorders: a transdiagnostic approach to research and treatment. Oxford University Press
Hauser M (2003) Knowing about knowing: dissociations between perception and action systems over evolution and during development. Ann NY Acad Sci 1:1–25
Hughes C, Russell J (1993) Autistic children’s difficulty with disengagement from an object: its implications for theories of autism. Dev Psychol 29:498–510
Leslie A (1987) Pretence and representation: the origins of a ‘theory of mind’. Psychol Rev 94:412–426
Marr D (1982) Vision: a computational investigation into the human representation and processing of visual information. WH Freeman, San Fransisco
Onishi KH, Baillargeon R (2005) Do 15-month-old infants understand false beliefs? Science 308:255–258
Pennington B, Ozonoff S (1996) Executive functions and developmental psychopathology. J Child Psychol Psychiatry 37:51–87
Perner J, Leekham S, Wimmer H (1987). Three-year olds’ difficulty with false belief: the case for a conceptual deficit. Br J Dev Psychol 5:125–137
Peterson DM, Bowler DM (2000) Counterfactual reasoning and false belief understanding in children with autism. Autism: Int J Res Practice 4(4):391–405
Purvis K, Tannock R (1997) Language abilities in children with attention deficit disorder, reading disabilities, and normal controls. J Abnormal Child Psychol 25(2):133–144
Riggs K, Peterson D (2000) Counterfactual reasoning in pre-school children: mental state and causal inferences. In: Mitchell P, Riggs K (eds) Children’s reasoning and the mind, chapter 5. Psychology Press, pp 87–100
Ronald A, Happé F, Plomin R (2005) The genetic relationship between individual differences in social and nonsocial behaviours characteristic of autism. Dev Sci 8:444–458
Russell J (1997) Autism as an executive disorder. Oxford University Press
Russell J (2002) Cognitive theories of autism. In: Harrison J, Owen A (eds) Cognitive deficits in brain disorders. Dunitz, London, pp 295–323
Shue K, Douglas V (1992) Attention deficit hyperactivity disorder and the frontal lobe syndrome. Brain Cognition 20(2):104–124
Siegal M, Beattie K (1991) Where to look first for children’s knowledge of false beliefs. Cognition 38:1–12
Smid H (2005) Reasoning with rules and exceptions in autism. Msc thesis, ILLC, Amsterdam. Available from http://staff.science.uva.nl/michiell
Steedman M (1997) Temporality. In: van Benthem J, ter Meulen A (eds) Handbook of logic and language chapter 16. Elsevier Science, pp 895–938
Stenning K, van Lambalgen M (2005) Semantic interpretation as reasoning in nonmonotonic logic: the real meaning of the suppression task. Cognitive Sci 29(6):919–960
Stenning K, van Lambalgen M (2007) Human reasoning and cognitive science. MIT University Press, Cambridge, MA
Tomasello M (2003) Constructing a language. A usage-based theory of language acquisition. Harvard University Press, Boston
Trabasso T, Stein N (1994) Using goal-plan knowledge to merge the past with the present and future in narrating events on line. In: Haith M, Benson J, Roberts R, Pennington B (eds) The development of future-oriented processes. University of Chicago Press, pp 323–352
van Lambalgen M, Hamm F (2004) The proper treatment of events. Blackwell, Oxford and Boston
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Stenning, K., van Lambalgen, M. Logic in the study of psychiatric disorders: executive function and rule-following. Topoi 26, 97–114 (2007). https://doi.org/10.1007/s11245-006-9012-6
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DOI: https://doi.org/10.1007/s11245-006-9012-6