A formal notation is argued to be useful in representing theories of c
omplex animal behaviour. This ''production system'' approach, original
ly derived from artificial intelligence, is explained with a series of
examples of tactical deception in primates. These examples are contro
versial, since they might suggest intentionality and thinking in non-h
umans, and their interpretation is not straightforward. The ease of re
presenting competing explanations of sophisticated behaviour (for inst
ance those used in behaviourist psychology, animal ethology, and cogni
tive science) in the single formalism of production systems, may event
ually aid a rapprochement between disciplines with interests in the ev
olution of intelligence.