Structural Proof Theory
... structural proof theory belongs, with a few exceptions, to what can be described as computational proof theory. Since 1970, a branch of proof theory known as constructive type theory has been developed. A theorem typically states that a certain claim holds under given assumptions. The basic idea of ...
... structural proof theory belongs, with a few exceptions, to what can be described as computational proof theory. Since 1970, a branch of proof theory known as constructive type theory has been developed. A theorem typically states that a certain claim holds under given assumptions. The basic idea of ...
Higher Order Logic - Theory and Logic Group
... others are omitted altogether, notably most uses of higher order constructs in mathematical practice, in recursion theory, and in computer science. Such choices of topics can not be independent of an author's interests and background. My hope is, though, that the chapter touches on the central issue ...
... others are omitted altogether, notably most uses of higher order constructs in mathematical practice, in recursion theory, and in computer science. Such choices of topics can not be independent of an author's interests and background. My hope is, though, that the chapter touches on the central issue ...
Higher Order Logic - Indiana University
... others are omitted altogether, notably most uses of higher order constructs in mathematical practice, in recursion theory, and in computer science. Such choices of topics can not be independent of an author's interests and background. My hope is, though, that the chapter touches on the central issue ...
... others are omitted altogether, notably most uses of higher order constructs in mathematical practice, in recursion theory, and in computer science. Such choices of topics can not be independent of an author's interests and background. My hope is, though, that the chapter touches on the central issue ...
x - Homepages | The University of Aberdeen
... 1. x (Q(x) P(x)) (true for place a below) 2. x (Q(x) P(x)) (false for places b below) 3. x (Q(x) P(x)) (false for place b below) 4. x (Q(x) P(x)) (true for place a below) One solution: a model with exactly two objects in it. One object has the property Q and the property P; the other obje ...
... 1. x (Q(x) P(x)) (true for place a below) 2. x (Q(x) P(x)) (false for places b below) 3. x (Q(x) P(x)) (false for place b below) 4. x (Q(x) P(x)) (true for place a below) One solution: a model with exactly two objects in it. One object has the property Q and the property P; the other obje ...
Lecture Notes on the Lambda Calculus
... Brouwer’s proof of his own fixed point theorem, which states that every continuous function on the unit disk has a fixed point. The proof is by contradiction and does not give any information on the location of the fixed point. The connection between lambda calculus and constructive logics is via th ...
... Brouwer’s proof of his own fixed point theorem, which states that every continuous function on the unit disk has a fixed point. The proof is by contradiction and does not give any information on the location of the fixed point. The connection between lambda calculus and constructive logics is via th ...
Simply Logical: Intelligent Reasoning by Example
... Of course it is impossible to fully explain either the theory of Logic Programming or the practice of Prolog programming in a single chapter. I am certain that many lecturers will feel that something is missing which they consider important. However, my main intention has been to cover at least thos ...
... Of course it is impossible to fully explain either the theory of Logic Programming or the practice of Prolog programming in a single chapter. I am certain that many lecturers will feel that something is missing which they consider important. However, my main intention has been to cover at least thos ...
thèse - IRIT
... aim of the dissertation given, (2) the second part, step by step, establishes the preliminary aspects: it contains a brief overview of ASP, giving specific classes of logic programs in their historical progress, and defining important concepts such as answer set and strong equivalence. Then comes th ...
... aim of the dissertation given, (2) the second part, step by step, establishes the preliminary aspects: it contains a brief overview of ASP, giving specific classes of logic programs in their historical progress, and defining important concepts such as answer set and strong equivalence. Then comes th ...
Modular Construction of Complete Coalgebraic Logics
... The notion of one-step semantics then specifies how to interpret these syntactic features over the next transition step. Finally, a proof system constructor specifies how one can infer judgements about the next transition step. These notions are used to make assertions about the global system behavi ...
... The notion of one-step semantics then specifies how to interpret these syntactic features over the next transition step. Finally, a proof system constructor specifies how one can infer judgements about the next transition step. These notions are used to make assertions about the global system behavi ...
Inquiry
An inquiry is any process that has the aim of augmenting knowledge, resolving doubt, or solving a problem. A theory of inquiry is an account of the various types of inquiry and a treatment of the ways that each type of inquiry achieves its aim.