Propositional logic includes sentence letters (A, B, C, etc), which are assigned truth values, and logical connectives (AND, OR, NOT, IMPLICATION, EQUIVALENCE), but not quantifiers. This is also ...

In :numref:`Chapter %s <semantics_of_propositional_logic>`, we emphasized a distinction between the syntax and the semantics of propositional logic. Syntactic questions have to do with the formal ...

This is a preview. Log in through your library . Abstract A propositional system of modal logic is second-order if it contains quantifiers ∀p and ∃p, which, in the standard interpretation, are ...

This is a preview. Log in through your library . Abstract Kolmogorov introduced an informal calculus of problems in an attempt to provide a classical semantics for intuitionistic logic. This was later ...

These statements are true, but we generally do not think of them as logically valid: they depend on assumptions about the natural numbers, the meaning of the terms "even" and "odd," and so on. But ...

The field of theorem proving and higher‐order logic represents a confluence of computer science, mathematics and formal logic. It encompasses the automated and interactive approaches to establishing ...

Abstract: Decision-making is a cognitive procedure that leads to a selection of a course of action among several. In order to perform the correct decision-making, an intelligent agent should have a ...

Abstract: The report explores the problem of developing a common base of mathematical support for the problem of modeling control systems for objects of great complexity. The problem of reconstructing ...