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Classical Propositional Logic
Classical Propositional Logic

... Completeness A Henkin-style Completeness Proof for Natural Deduction Computability ...
Hybrid Interactive Theorem Proving using Nuprl and HOL?
Hybrid Interactive Theorem Proving using Nuprl and HOL?

Informal Proceedings of the 30th International Workshop on
Informal Proceedings of the 30th International Workshop on

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Chapter 2

On the Complexity of Qualitative Spatial Reasoning: A Maximal
On the Complexity of Qualitative Spatial Reasoning: A Maximal

Modal Logic for Artificial Intelligence
Modal Logic for Artificial Intelligence

... which are such that a window cannot both be open and closed. The argument on the left, however, is valid in virtue of its form. That is, any argument of the form A or B not A (Therefore) B is valid, regardless of the sentences we use in the place of A and B. The only items that need to be fixed are ...
Introduction to mathematical arguments
Introduction to mathematical arguments

... mathematical proofs. The vocabulary includes logical words such as ‘or’, ‘if’, etc. These words have very precise meanings in mathematics which can differ slightly from everyday usage. By “grammar”, I mean that there are certain common-sense principles of logic, or proof techniques, which you can us ...
Formal systems of fuzzy logic and their fragments∗
Formal systems of fuzzy logic and their fragments∗

Ground Nonmonotonic Modal Logics - Dipartimento di Informatica e
Ground Nonmonotonic Modal Logics - Dipartimento di Informatica e

... the knowledge attributed to the agent should be minimal. This principle was introduced in [11] and it was enforced by minimizing the set of objective (i.e. nonmodal) sentences known by the agent. This notion of minimal knowledge can be stated in terms of a property on the models of a logical theory ...
preliminary version
preliminary version

Full Text  - Institute for Logic, Language and Computation
Full Text - Institute for Logic, Language and Computation

... decades later. In fact, Ramsey3 proposes a thought experiment to judge the truth-value of a conditional. Technically, the use of the Bayesian conception of probability enables us to give a formal apparatus to this conception. Just after the Second World War, the field became autonomous with Goodman ...
Logic and Sets
Logic and Sets

Proof Theory for Propositional Logic
Proof Theory for Propositional Logic

... particular the fact that a conditional is counted as true whenever the antecedent (the first term,  above) is false. Again, let’s just get comfortable doing the proofs for now. When we do truth tables we will discuss why this is the case for propositional logic. In both cases, the problem reveals f ...
Let me begin by reminding you of a number of passages ranging
Let me begin by reminding you of a number of passages ranging

Proofs
Proofs

Discrete Mathematics: Chapter 2, Predicate Logic
Discrete Mathematics: Chapter 2, Predicate Logic

... You may wonder, though, whether SL’s completeness doesn’t make an extension of Sentential Logic unnecessary. This is definitely not the case. Predicate Logic is needed for mathematics precisely because SL is still deficient. This doesn’t contradict the fact that SL is complete, but to explain why no ...
The Foundations
The Foundations

Inference in First
Inference in First

... nesting in terms, we can find the subset by generating all instantiations with constant symbols, then all with depth 1, and so on ...
Cylindric Modal Logic - Homepages of UvA/FNWI staff
Cylindric Modal Logic - Homepages of UvA/FNWI staff

The Foundations
The Foundations

... statement “It_is_raining” is false (in the current situation). But if it were raining now, then I would say that “It_is_raining” is true.  Factors affecting the truth value of a proposition:  the situation in which the proposition is used  the meaning of the proposition Transparency No. 1-15 ...
Proof analysis beyond geometric theories: from rule systems to
Proof analysis beyond geometric theories: from rule systems to

... The applicability of the method of proof analysis to logics characterized by a relational semantics has brought a wealth of applications to the proof theory of non-classican logics, including provability logic (Negri 2005), substructural logic (Negri 2008), intermediate logics (Dyckhoff and Negri 20 ...
From Syllogism to Common Sense Normal Modal Logic
From Syllogism to Common Sense Normal Modal Logic

... ‣ A U B: A is true until B becomes true ‣ G = ‘always’ , F = ‘eventually’, ‣ liveness properties state that something good keeps happening: ...
Principle of Mathematical Induction
Principle of Mathematical Induction

... The Principle of Mathematical Induction is a method of proof normally used to prove that a proposition is true for all natural numbers 1,2,3,… , although there are many variations of the basic method. The method is particularly important in discrete mathematics, and one often sees theorems proven by ...
Soundness and Completeness - Cognitive Science Department
Soundness and Completeness - Cognitive Science Department

... One can see graphs with multiple cuts inside each other as expressing recursively conditioned conditionals. For example: ...
Ascribing beliefs to resource bounded agents
Ascribing beliefs to resource bounded agents

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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.
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