What is the main difference between monotonic and nonmonotonic reasoning?
Monotonic Reasoning is the process which does not change its direction or can say that it moves in the one direction. Non-monotonic Reasoning is the process which changes its direction or values as the knowledge base increases.
What is meant by non-monotonic reasoning?
A logic is non-monotonic if some conclusions can be invalidated by adding more knowledge. The logic of definite clauses with negation as failure is non-monotonic.
Why is the reasoning system under uncertainty known as non-monotonic?
People arrive at conclusions only tentatively; based on partial or incomplete information reserve the right to retract those conclusions while they learn new facts. Such reasoning non-monotonic, precisely because the set of accepted conclusions have become smaller when the set of premises expanded.
Which is an alternative way of implementing nonmonotonic reasoning?
Since first-order predicate logic is itself monotonic, a variety of alternative logics have been put forward as candidates for implementing nonmonotonic reasoning. These include modal logics, default logics, support for abductive reasoning, modified inheritance schemes, and minimalist reasoning assumptions.
Is probabilistic reasoning monotonic or non-monotonic?
Generally and vaguely, I take them to embody what I shall call probabilistic inference. This form of inference is clearly non-monotonic. Relatively few people have taken this form of inference, based on high probability, to serve as a foundation for non-monotonic logic or for a logical or defeasible inference.
Can monotonic reasoning handle abductive reasoning?
A monotonic logic cannot handle various reasoning tasks such as reasoning by default (conclusions may be derived only because of lack of evidence of the contrary), abductive reasoning (conclusions are only deduced as most likely explanations), some important approaches to reasoning about knowledge (the ignorance of a …
What is monotonic reasoning in artificial intelligence?
Monotonicity in artificial intelligence (AI) can refer to monotonic classification or monotonic reasoning. Monotonic classification is a mathematical property of an AI model closely related to the concept of a monotonic function. Monotonic reasoning is a form of reasoning that can underlie the AI system’s logic.
Why do we need reasoning under uncertainty?
1. Introduction. Though there are various types of uncertainty in various aspects of a reasoning system, the “reasoning with uncertainty” (or “reasoning under uncertainty”) research in AI has been focused on the uncertainty of truth value, that is, to allow and process truth values other than “true” and “false”.
What are the problems associated with non-monotonic logic NML I?
There are two different kinds of conflicts that can arise within a given non-monotonic framework: (i) conflicts between defeasible conclusions and “hard facts,” some of which possibly newly learned; and (ii) conflicts between one potential defeasible conclusion and another (many formalisms, for instance, provide some …
What is monotonic logic?
The property of being monotonic. In logic, it refers to the fact that a valid argument cannot be made invalid, nor an invalid argument made valid, by adding new premises. More precisely, monotonicity in logic is the property of obeying the extension theorem of semantic entailment.
What do you mean by probabilistic reasoning and where it is used?
Probabilistic reasoning is a method of representation of knowledge where the concept of probability is applied to indicate the uncertainty in knowledge. Probabilistic reasoning is used in AI: When we are unsure of the predicates. When the possibilities of predicates become too large to list down.
What does the word monotonic mean?
Definition of monotonic 1 : characterized by the use of or uttered in a monotone She recited the poem in a monotonic voice. 2 : having the property either of never increasing or of never decreasing as the values of the independent variable or the subscripts of the terms increase.
What is non-monotonic reasoning?
Non-monotonic reasoning is a heuristic inference that can be invalidated or withdrawn by adding more evidence and data facts. A machine has the ability to learn itself by getting possible operations on it, so that when the terms are given to it.
Can we use non-monotonic reasoning in robot navigation?
For real-world systems such as Robot navigation, we can use non-monotonic reasoning. In Non-monotonic reasoning, we can choose probabilistic facts or can make assumptions. In non-monotonic reasoning, the old facts may be invalidated by adding new sentences.
What are the advantages of non-monotonic learning?
2.greater choice in learning strategies. Non-monotonic learning is when an agent may learn the new knowledge that contradicts what it already known or existing. So it replaces the old knowledge with new if it believes there is sufficient reason to do so. The advantages of non-monotonic learning are:
Is inheritance monotonic or nonmonotonic?
Property inheritance is also non-monotonic. An instance or subclass will inherit the characteristics of the parent class, unless it has alternative or conflicting values for that characteristic. So, on knowledge representation under semantics that dogs bark and that Rottweilers and Basenjis are dogs.