Theories and uses of context in knowledge representation and
... use of context in an area of AI called knowledge representation and reasoning (KRR), whose aim is to devise languages for representing what (intelligent) programs or agents know about their environment, and for representing the reasoning processes that allow them to derive new knowledge from what th ...
... use of context in an area of AI called knowledge representation and reasoning (KRR), whose aim is to devise languages for representing what (intelligent) programs or agents know about their environment, and for representing the reasoning processes that allow them to derive new knowledge from what th ...
Computer Science Foundation Exam
... him.) Even with these assumptions, this relation is neither an equivalence relation, nor a partial ordering relation. Prove these assertions using real-life examples. (Note: A partial ordering relation is one that is reflexive, anti-symmetric and transitive.) (b) (10 pts) Let R be a non-empty relati ...
... him.) Even with these assumptions, this relation is neither an equivalence relation, nor a partial ordering relation. Prove these assertions using real-life examples. (Note: A partial ordering relation is one that is reflexive, anti-symmetric and transitive.) (b) (10 pts) Let R be a non-empty relati ...
An argumentation framework in default logic
... themselves in cases in which the definitions boil down to directly applying this criterion to the subtheories of the premises. For this reason I will confine myself to discussing such cases. Consider first an example in which this method gives satisfactory results. Assume that the inconsistent set { ...
... themselves in cases in which the definitions boil down to directly applying this criterion to the subtheories of the premises. For this reason I will confine myself to discussing such cases. Consider first an example in which this method gives satisfactory results. Assume that the inconsistent set { ...
The History of Categorical Logic
... This paper covers the period that can be qualified as the birth and the constitution of categorical logic, that is the time span between 1963 and 1977. No one will deny that categorical logic started with Bill Lawvere’s Ph.D. thesis written in 1963 under S. Eilenberg’s supervision and widely circula ...
... This paper covers the period that can be qualified as the birth and the constitution of categorical logic, that is the time span between 1963 and 1977. No one will deny that categorical logic started with Bill Lawvere’s Ph.D. thesis written in 1963 under S. Eilenberg’s supervision and widely circula ...
The substitutional theory of logical consequence
... The existence of substitutional counterexamples depends on the availability of suitable substitution instances in the language. Thus the completeness principle seems to make logical validity highly dependent on the language from which the substitution instances can be taken. In particular, if certai ...
... The existence of substitutional counterexamples depends on the availability of suitable substitution instances in the language. Thus the completeness principle seems to make logical validity highly dependent on the language from which the substitution instances can be taken. In particular, if certai ...
CS 208: Automata Theory and Logic
... – Cartesian product A × B of two sets A and B is the set (of tuples) {(a, b) : a ∈ A and b ∈ B}. – A binary relation R on two sets A and B is a subset of A × B, formally we write R ⊆ A × B. Similarly n-ary relation. – A function (or mapping) f from set A to B is a binary relation on A and B such tha ...
... – Cartesian product A × B of two sets A and B is the set (of tuples) {(a, b) : a ∈ A and b ∈ B}. – A binary relation R on two sets A and B is a subset of A × B, formally we write R ⊆ A × B. Similarly n-ary relation. – A function (or mapping) f from set A to B is a binary relation on A and B such tha ...
On two problems with the Theory of the Creating Subject
... our minds are taken to be essential to what a mathematical construction is, and others are not. The stance that Brouwer assumes is of a kind with Turing’s, who devised his theoretical analysis of (mechanical) computation in terms of an idealised human, not a machine; Gandy proposed the term ‘comput ...
... our minds are taken to be essential to what a mathematical construction is, and others are not. The stance that Brouwer assumes is of a kind with Turing’s, who devised his theoretical analysis of (mechanical) computation in terms of an idealised human, not a machine; Gandy proposed the term ‘comput ...
MoL-2013-07 - Institute for Logic, Language and Computation
... the type of model-transformation technique that we are considering, they are not purely questions about these techniques. In this thesis, we are (for the most part) not interested in this interplay between a modeltransformation technique and sentences in the language of set theory, but instead, in ...
... the type of model-transformation technique that we are considering, they are not purely questions about these techniques. In this thesis, we are (for the most part) not interested in this interplay between a modeltransformation technique and sentences in the language of set theory, but instead, in ...
Carnap and Quine on the analytic-synthetic - Philsci
... used in favour of these frameworks. These pragmatic arguments for choosing particular linguistic frameworks have immediate repercussions for the analyticity of the non-factual statements in these frameworks. It will transpire that the class of statements Quine would accept as analytic is much more ...
... used in favour of these frameworks. These pragmatic arguments for choosing particular linguistic frameworks have immediate repercussions for the analyticity of the non-factual statements in these frameworks. It will transpire that the class of statements Quine would accept as analytic is much more ...
AN EARLY HISTORY OF MATHEMATICAL LOGIC AND
... or Richard Dedekind. I believe this is because Styazhkin believes first, that logic from Leibniz to Peano was largely separate from set theory; and second, he believed that logic after Peano changed radically in its relationship with set theory. This is just the view that I want to combat. The reaso ...
... or Richard Dedekind. I believe this is because Styazhkin believes first, that logic from Leibniz to Peano was largely separate from set theory; and second, he believed that logic after Peano changed radically in its relationship with set theory. This is just the view that I want to combat. The reaso ...
Teach Yourself Logic 2017: A Study Guide
... then how to proceed will depend on how much logic you have already encountered. Let’s distinguish three levels you might have reached: L1. If you have only done an ‘informal logic’ or ‘critical reasoning course’, then you’ll probably need to read a good introductory formal logic text before tackling ...
... then how to proceed will depend on how much logic you have already encountered. Let’s distinguish three levels you might have reached: L1. If you have only done an ‘informal logic’ or ‘critical reasoning course’, then you’ll probably need to read a good introductory formal logic text before tackling ...
