Metafunctions: proving them correct and using them eeciently as new proof procedures. In this paper we have presented how computational reeective capabilities and mechanized logical deduction can be integrated. We have explained how this integration is achieved in GETFOL, a theorem prover where a logical metatheory MT describes both the logical properties of the object theory OT and the code im...

Logical connectives (e.g., or, if, and not) are central to everyday conversation, and the inferences they generate are made with little effort in pragmatically sound situations. In contrast, the neural substrates of logical inference-making have been studied exclusively in abstract tasks where pragmatic concerns are minimal. Here, we used fMRI in an innovative design that employed narratives to...

Existing explanation systems for deductive databases show forests of proof trees. Although proof trees are often useful, they are only one possible interesting representation. We argue that an explanation system for deductive databases must be able to generate explanations at several levels of abstraction. One possible and well known technique to achieve this exibility is to instrument meta-int...

The paper describes an approach to reasoning about actions and plan generation within the framework of description logics Our proposal is considered classic since it is in the style of deductive planning and it relies upon the reasoning capabilities of description logics that are realized in the system Classic From an epistemological point of view our approach is based on the formalization of a...

The left and right hemispheres of the brain are generally known to be associated with different types of processing. The left hemisphere is associated with linguistic, sequential and logical processing. The right hemisphere is associated with abstract and visuospatial reasoning and creative processing. In narrative discourse, explanation can be considered abductive reasoning, described as a cre...

Reasoning often occurs under emotionally charged, opinion-laden circumstances. The belief-bias effect indexes the extent to which reasoning is based upon beliefs rather than logical structure. We examined whether emotional content increases this effect, particularly for adults genetically predisposed to be more emotionally reactive. SS/SL(G) carriers of the serotonin transporter genotype (5-HTT...

Deductive reasoning Deductive reasoning is reasoning from the general to the specific. It is what we colloquially think of as "logic". A deductive inference is a judgment or generalization based on axioms or assumptions. For example, if two coins are assumed perfectly balanced then one can conclude that the mean number of heads of tossing these two coins must be one. The deductive generalizatio...

Logical frameworks supporting higher-order abstract syntax (HOAS) allow a direct and concise specification of a wide variety of languages and deductive systems. Reasoning about such systems within the same framework is well-known to be problematic. We describe the new version of the Hybrid system, implemented on top of Isabelle/HOL (as well as Coq), in which a de Bruijn representation of λ-term...

Logical frameworks supporting higher-order abstract syntax (HOAS) allow a direct and concise specification of a wide variety of languages and deductive systems. Reasoning about such systems within the same framework is well-known to be problematic. We describe the new version of the Hybrid system, implemented on top of Isabelle/HOL (as well as Coq), in which a de Bruijn representation of λ-term...